{"id":14518,"date":"2025-01-15T00:16:05","date_gmt":"2025-01-15T03:16:05","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=14518"},"modified":"2025-01-23T01:58:08","modified_gmt":"2025-01-23T04:58:08","slug":"water-reflection-magic-squares-order-14-to-16","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=14518","title":{"rendered":"Water Reflection Magic Squares: Orders 14 to 16"},"content":{"rendered":"\n<p>This work brings more concepts in magic squares. In past we studied a lot of upside-down and mirror looking magic squares. These are based some kind of digital\/special fonts. To understand better let&#8217;s consider the following 10 digits from 0 to 9:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"90\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-d-1024x90.png\" alt=\"\" class=\"wp-image-14128\" style=\"width:699px;height:auto\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-d-1024x90.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-d-300x27.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-d-768x68.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-d-535x47.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-d.png 1109w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-9bb23a63a92f5e66e4d5ab76f26113f0\">Upside-down<strong> (180 degrees rotation)<\/strong><\/h4>\n\n\n\n<p>Let&#8217;s make 180 degrees rotation over the above 10 digits, we get<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"90\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dr-1024x90.png\" alt=\"\" class=\"wp-image-14130\" style=\"width:691px;height:auto\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dr-1024x90.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dr-300x27.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dr-768x68.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dr-535x47.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dr.png 1109w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<p>We observe that the numbers 0, 1, 2, 5, 6, 8 and 9 are still there. The difference is that 6 becomes 9.<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-6254d61d65daf44d6885af59f4408f5c\">Mirror Looking (Horizontal Flip)<\/h4>\n\n\n\n<p>Let&#8217;s see how these numbers can seen in mirror:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"90\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dm-1024x90.png\" alt=\"\" class=\"wp-image-14129\" style=\"width:698px;height:auto\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dm-1024x90.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dm-300x27.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dm-768x68.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dm-535x47.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dm.png 1109w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<p>We observe that the numbers 0, 1, 2, 5 and 8 are still there. In this case the numbers 2 and 5 interchanges, i.e., 2 becomes 5 and 5 as 2.<\/p>\n\n\n\n<p>In general there are two kinds of flips, i.e.,<strong> horizontal flip<\/strong> and <strong>vertical filp<\/strong>. See the image below:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"354\" height=\"278\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/flip.png\" alt=\"\" class=\"wp-image-14131\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/flip.png 354w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/flip-300x236.png 300w\" sizes=\"(max-width: 354px) 100vw, 354px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-text-align-right\">Source: <a href=\"https:\/\/www.mathsisfun.com\/definitions\/vertical-flip.html\">https:\/\/www.mathsisfun.com\/definitions\/vertical-flip.html<\/a><\/p>\n\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-bf7d1a8f7075e9d1cc6bb9fb0b25506a\">Water Reflection (Vertical Flip)<\/h4>\n\n\n\n<p>Making vertical flip over the digits 0 to 9, we get<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"90\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dw-1024x90.png\" alt=\"\" class=\"wp-image-14132\" style=\"width:700px;height:auto\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dw-1024x90.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dw-300x27.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dw-768x68.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dw-535x47.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/numbers-dw.png 1109w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<p>We observe the numbers 0, 1, 2, 3, 5 and 8 remains the same. The numebrs 0, 1, 2, 5 and 8 are already in mirror looking except the number. That&#8217;s why we call these numbers as <strong>universal<\/strong> numbers.  Here also 2 becomes 5 and 5 as 2. Thus using <strong>vertical flip<\/strong>, we get an extra number as 3. Let&#8217;s call the operation as <strong>water reflection<\/strong>. This means that the numbers 0, 1, 2, 3, 5 and 8 are <strong>water reflexive<\/strong>.<\/p>\n\n\n\n<p>The aim this work is write magic squares based on the numbers 0, 1, 2, 3, 5 and 8, where 3 is always there, i.e., making combinations of 3 with the numbers 0, 1, 2, 5 and 8. This work is for orders 14 to 16. Full work can be downloaded from the following link:<\/p>\n\n\n\n<ul style=\"background:linear-gradient(135deg,rgb(238,238,238) 0%,rgb(244,250,200) 57%,rgb(169,184,195) 100%)\" class=\"wp-block-list has-background\">\n<li><strong>Inder J. Taneja, <\/strong><em>Upside-Down, Mirror Looking and Water Reflection Magic Squares: Orders 14 to 16<\/em>, <strong>Zenodo<\/strong>, January 14, 2025, pp. 1-140, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.14649519\">https:\/\/doi.org\/10.5281\/zenodo.14649519<\/a>.<\/li>\n<\/ul>\n\n\n\n<p><strong>Below is the index of the work given below for the orders 14 to 16.<\/strong><\/p>\n\n\n\n<ul style=\"background:linear-gradient(135deg,rgb(238,238,238) 0%,rgb(244,250,200) 57%,rgb(169,184,195) 100%)\" class=\"wp-block-list has-background\">\n<li><strong>Magic Squares of Order 14<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>a) 4-Digits Cell Entries:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Example 1. The Digits (2,3,5,8)<\/li>\n\n\n\n<li>Example 2. The Digits (1,2,3,5)<\/li>\n\n\n\n<li>Example 3. The Digits (0,2,3,5)<\/li>\n\n\n\n<li>Example 4. The Digits (0,1,3,8)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>b) 6-Digits Cell Entries:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Example 5. The Digits (2,3,5)<\/li>\n\n\n\n<li>Example 6. The Digits (1,3,8)<\/li>\n\n\n\n<li>Example 7. The Digits (0,3,8)<\/li>\n\n\n\n<li>Example 8. The Digits (0,1,3)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>c) 8-Digits Cell Entries:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Example 9. The Digits (3,8)<\/li>\n\n\n\n<li>Example 10. The Digits (1,3)<\/li>\n\n\n\n<li>Example 11. The Digits (0,3)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Magic Squares of Order 15: Blocks of Magic Squares of Order 5<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>a) 4-Digits Cell Entries:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Example 12. The Digits (2,3,5,8)<\/li>\n\n\n\n<li>Example 13. The Digits (1,2,3,5)<\/li>\n\n\n\n<li>Example 14. The Digits (0,2,3,5)<\/li>\n\n\n\n<li>Example 15. The Digits (0,1,3,8)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>b) 6-Digits Cell Entries<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Example 16. The Digits (2,3,5)<\/li>\n\n\n\n<li>Example 17. The Digits (1,3,8)<\/li>\n\n\n\n<li>Example 18. The Digits (0,3,8)<\/li>\n\n\n\n<li>Example 19. The Digits (0,1,3)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>c) 8-Digits Cell Entries:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Example 20. The Digits (3,8)<\/li>\n\n\n\n<li>Example 21. The Digits (1,3)<\/li>\n\n\n\n<li>Example 22. The Digits (0,3)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Magic Squares of Order 15: Blocks of Semi-Magic Squares of Order 3<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>d) 8-Digits Cell Entries:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Example 23. The Digits (3,8)<\/li>\n\n\n\n<li>Example 24. The Digits (1,3)<\/li>\n\n\n\n<li>Example 25. The Digits (0,3)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Magic and Bimagic Squares of Order 16: Blocks of Magic Squares of Order 4<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>a) 4-Digits Cell Entries:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Example 26. The Digits (2,3,5,8)<\/li>\n\n\n\n<li>Example 27. The Digits (1,2,3,5)<\/li>\n\n\n\n<li>Example 28. The Digits (0,2,3,5)<\/li>\n\n\n\n<li>Example 29. The Digits (0,1,3,8)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>b) 6-Digits Cell Entries:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Example 30. The Digits (2,3,5)<\/li>\n\n\n\n<li>Example 31. The Digits (1,3,8)<\/li>\n\n\n\n<li>Example 32. The Digits (0,3,8)<\/li>\n\n\n\n<li>Example 33. The Digits (0,1,3)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>c) 8-Digits Cell Entries: Bimagic Squares<\/strong>\n<ul class=\"wp-block-list\">\n<li>Example 34. The Digits (3,8)<\/li>\n\n\n\n<li>Example 35. The Digits (1,3)<\/li>\n\n\n\n<li>Example 36. The Digits (0,3)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>d) 8-Digits Cell Entries: Pandiagonal Magic Squares<\/strong>\n<ul class=\"wp-block-list\">\n<li>Example 37. The Digits (3,8)<\/li>\n\n\n\n<li>Example 39. The Digits (1,3)<\/li>\n\n\n\n<li>Example 39. The Digits (0,3)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>For the previous work on orders 3 to 13 refer the followig links:<\/p>\n\n\n\n<ul style=\"background:linear-gradient(135deg,rgb(238,238,238) 0%,rgb(244,250,200) 57%,rgb(169,184,195) 100%)\" class=\"wp-block-list has-background\">\n<li><strong>Inder J. Taneja, <\/strong><a href=\"https:\/\/numbers-magic.com\/?p=14126\">Water Reflection Magic Squares: Order 3 to 6<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, <a href=\"https:\/\/numbers-magic.com\/?p=14213\">Water Reflection Magic Squares: Order 7 to 10. <\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, <a href=\"https:\/\/numbers-magic.com\/?p=14339\">Water Reflection Magic Squares: Order 11 to 13.<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(202,248,128) 0%,rgb(212,193,193) 22%,rgb(18,184,20) 57%,rgb(237,212,212) 74%,rgb(113,206,126) 100%)\">Magic Squares of Order 14<\/h3>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-b3fd78649fe4d2408410d66cfcf938a5\">a) 4-Digits Cell Entries:<\/h3>\n\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-e59e61e77da1110e4b3084674455be9a\">Example 1. The Digits (2, 3, 5, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1383\" height=\"619\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-2358.png\" alt=\"\" class=\"wp-image-14455\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-2358.png 1383w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-2358-300x134.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-2358-1024x458.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-2358-768x344.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-2358-535x239.png 535w\" sizes=\"(max-width: 1383px) 100vw, 1383px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1383\" height=\"619\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-2358w.png\" alt=\"\" class=\"wp-image-14456\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-2358w.png 1383w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-2358w-300x134.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-2358w-1024x458.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-2358w-768x344.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-2358w-535x239.png 535w\" sizes=\"(max-width: 1383px) 100vw, 1383px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-ee369ad77fb2fad09837562931f5b328\">Example 2. The Digits (1, 2, 3, 5)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1368\" height=\"616\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-1235.png\" alt=\"\" class=\"wp-image-14457\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-1235.png 1368w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-1235-300x135.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-1235-1024x461.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-1235-768x346.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-1235-535x241.png 535w\" sizes=\"(max-width: 1368px) 100vw, 1368px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1368\" height=\"616\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-1235w.png\" alt=\"\" class=\"wp-image-14458\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-1235w.png 1368w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-1235w-300x135.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-1235w-1024x461.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-1235w-768x346.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-1235w-535x241.png 535w\" sizes=\"(max-width: 1368px) 100vw, 1368px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-a8bb9f187a49186775f30f654e968fae\">Example 3. The Digits (0, 2, 3, 5)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1384\" height=\"614\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0235.png\" alt=\"\" class=\"wp-image-14459\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0235.png 1384w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0235-300x133.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0235-1024x454.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0235-768x341.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0235-535x237.png 535w\" sizes=\"(max-width: 1384px) 100vw, 1384px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1384\" height=\"614\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0235w.png\" alt=\"\" class=\"wp-image-14460\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0235w.png 1384w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0235w-300x133.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0235w-1024x454.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0235w-768x341.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0235w-535x237.png 535w\" sizes=\"(max-width: 1384px) 100vw, 1384px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-4e7847fb7e61b6bfaef4ea4aa6b7461f\">Example 4. The Digits (0, 1, 3, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1184\" height=\"667\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0138.png\" alt=\"\" class=\"wp-image-14461\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0138.png 1184w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0138-300x169.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0138-1024x577.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0138-768x433.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0138-535x301.png 535w\" sizes=\"(max-width: 1184px) 100vw, 1184px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1184\" height=\"667\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0138w.png\" alt=\"\" class=\"wp-image-14462\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0138w.png 1184w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0138w-300x169.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0138w-1024x577.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0138w-768x433.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-0138w-535x301.png 535w\" sizes=\"(max-width: 1184px) 100vw, 1184px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-background\" style=\"background:linear-gradient(135deg,rgb(255,206,236) 0%,rgb(255,255,255) 49%,rgb(152,150,240) 100%)\">Thus, we have four examples of <strong>water reflection<\/strong> magic squares of order 14 having <strong>4-digits cells entries<\/strong> with four numbers combinations (2, 3, 5, 8), (1, 2, 3, 5), (0, 2, 3, 5) and (0,1, 3, 8). The internal block of order 4 is a magic square.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-fc76ea2193f8773edb397f7f823a4610\">b) 6-Digits Cell Entries:<\/h3>\n\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-583eadc445412cec3391771b3112c23b\">Example 5. The Digits (2, 3, 5)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1843\" height=\"622\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-235.png\" alt=\"\" class=\"wp-image-14463\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-235.png 1843w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-235-300x101.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-235-1024x346.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-235-768x259.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-235-535x181.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-235-1536x518.png 1536w\" sizes=\"(max-width: 1843px) 100vw, 1843px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1843\" height=\"622\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-235w.png\" alt=\"\" class=\"wp-image-14464\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-235w.png 1843w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-235w-300x101.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-235w-1024x346.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-235w-768x259.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-235w-535x181.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-235w-1536x518.png 1536w\" sizes=\"(max-width: 1843px) 100vw, 1843px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-f7dde63da83f00e456ea19270ae54145\">Example 6. The Digits (1, 3, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1561\" height=\"667\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-138.png\" alt=\"\" class=\"wp-image-14465\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-138.png 1561w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-138-300x128.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-138-1024x438.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-138-768x328.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-138-535x229.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-138-1536x656.png 1536w\" sizes=\"(max-width: 1561px) 100vw, 1561px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1561\" height=\"667\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-138w.png\" alt=\"\" class=\"wp-image-14466\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-138w.png 1561w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-138w-300x128.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-138w-1024x438.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-138w-768x328.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-138w-535x229.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-138w-1536x656.png 1536w\" sizes=\"(max-width: 1561px) 100vw, 1561px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-c1e8a3e09471a0a1293926ca70981dd6\">Example 7. The Digits (0, 3, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1561\" height=\"667\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-038.png\" alt=\"\" class=\"wp-image-14467\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-038.png 1561w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-038-300x128.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-038-1024x438.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-038-768x328.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-038-535x229.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-038-1536x656.png 1536w\" sizes=\"(max-width: 1561px) 100vw, 1561px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1561\" height=\"667\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-038w.png\" alt=\"\" class=\"wp-image-14468\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-038w.png 1561w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-038w-300x128.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-038w-1024x438.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-038w-768x328.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-038w-535x229.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-038w-1536x656.png 1536w\" sizes=\"(max-width: 1561px) 100vw, 1561px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-df826e5ed08d5b6b7898da5cfb1cc713\">Example 8. The Digits (0, 1, 3)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1561\" height=\"665\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-013.png\" alt=\"\" class=\"wp-image-14469\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-013.png 1561w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-013-300x128.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-013-1024x436.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-013-768x327.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-013-535x228.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-013-1536x654.png 1536w\" sizes=\"(max-width: 1561px) 100vw, 1561px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1561\" height=\"665\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-013w.png\" alt=\"\" class=\"wp-image-14471\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-013w.png 1561w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-013w-300x128.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-013w-1024x436.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-013w-768x327.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-013w-535x228.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-013w-1536x654.png 1536w\" sizes=\"(max-width: 1561px) 100vw, 1561px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-background\" style=\"background:linear-gradient(135deg,rgb(255,206,236) 0%,rgb(255,255,255) 49%,rgb(152,150,240) 100%)\">Thus, we have four examples of <strong>water reflection<\/strong> magic squares of order 14 having <strong>6-digits cells entries<\/strong> with 3 numbers combinations (2, 3, 5), (1, 3, 8), (0, 3, 8) and (0,1, 3). The internal block of order 4 is a magic square.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-d15a2831c10df8655df53d4a90bd1e2f\">c) 8-Digits Cell Entries:<\/h3>\n\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-04ab85c38d38337bd71b5014d62a4c2c\">Example 9. The Digits (3, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1728\" height=\"621\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-38.png\" alt=\"\" class=\"wp-image-14472\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-38.png 1728w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-38-300x108.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-38-1024x368.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-38-768x276.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-38-535x192.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-38-1536x552.png 1536w\" sizes=\"(max-width: 1728px) 100vw, 1728px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1728\" height=\"621\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-38w.png\" alt=\"\" class=\"wp-image-14473\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-38w.png 1728w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-38w-300x108.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-38w-1024x368.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-38w-768x276.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-38w-535x192.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-38w-1536x552.png 1536w\" sizes=\"(max-width: 1728px) 100vw, 1728px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-5894619d366c39ab1538a6712f95b580\">Example 10. The Digits (1, 3)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1728\" height=\"621\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-13.png\" alt=\"\" class=\"wp-image-14474\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-13.png 1728w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-13-300x108.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-13-1024x368.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-13-768x276.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-13-535x192.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-13-1536x552.png 1536w\" sizes=\"(max-width: 1728px) 100vw, 1728px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1728\" height=\"621\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-13w.png\" alt=\"\" class=\"wp-image-14475\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-13w.png 1728w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-13w-300x108.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-13w-1024x368.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-13w-768x276.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-13w-535x192.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-13w-1536x552.png 1536w\" sizes=\"(max-width: 1728px) 100vw, 1728px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-29cf5f3420ffd957395f148f80057c3d\">Example 11. The Digits (0, 3)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1728\" height=\"622\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-03.png\" alt=\"\" class=\"wp-image-14476\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-03.png 1728w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-03-300x108.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-03-1024x369.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-03-768x276.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-03-535x193.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-03-1536x553.png 1536w\" sizes=\"(max-width: 1728px) 100vw, 1728px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1728\" height=\"622\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-03w.png\" alt=\"\" class=\"wp-image-14477\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-03w.png 1728w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-03w-300x108.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-03w-1024x369.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-03w-768x276.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-03w-535x193.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/14x14-03w-1536x553.png 1536w\" sizes=\"(max-width: 1728px) 100vw, 1728px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-background\" style=\"background:linear-gradient(135deg,rgb(255,206,236) 0%,rgb(255,255,255) 49%,rgb(152,150,240) 100%)\">Thus, we have three examples of <strong>water reflection<\/strong> magic squares of order 14 having <strong>8-digits cells entries<\/strong> with 2 numbers combinations (3, 8), (1, 3) and (0, 3). The internal block of order 4 is a magic square.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(202,248,128) 0%,rgb(212,193,193) 22%,rgb(18,184,20) 57%,rgb(237,212,212) 74%,rgb(113,206,126) 100%)\">Magic Squares of Order 15:<br>Blocks of Magic Squares of Order 5<\/h3>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-b3fd78649fe4d2408410d66cfcf938a5\">a) 4-Digits Cell Entries:<\/h3>\n\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-6f1fb13cd50251ba1c4f5751a17c6d6b\">Example 12. The Digits (2, 3, 5, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1484\" height=\"665\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-2358.png\" alt=\"\" class=\"wp-image-14480\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-2358.png 1484w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-2358-300x134.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-2358-1024x459.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-2358-768x344.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-2358-535x240.png 535w\" sizes=\"(max-width: 1484px) 100vw, 1484px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1484\" height=\"665\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-2358w.png\" alt=\"\" class=\"wp-image-14481\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-2358w.png 1484w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-2358w-300x134.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-2358w-1024x459.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-2358w-768x344.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-2358w-535x240.png 535w\" sizes=\"(max-width: 1484px) 100vw, 1484px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-578333f6f6477e30677a9c593396b301\">Example 13. The Digits (1, 2, 3, 5)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1463\" height=\"666\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-1235.png\" alt=\"\" class=\"wp-image-14482\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-1235.png 1463w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-1235-300x137.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-1235-1024x466.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-1235-768x350.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-1235-535x244.png 535w\" sizes=\"(max-width: 1463px) 100vw, 1463px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1463\" height=\"666\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-1235w-1.png\" alt=\"\" class=\"wp-image-14483\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-1235w-1.png 1463w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-1235w-1-300x137.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-1235w-1-1024x466.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-1235w-1-768x350.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-1235w-1-535x244.png 535w\" sizes=\"(max-width: 1463px) 100vw, 1463px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-d8564733d7706479a4c0eb5e21f9c9a2\">Example 14. The Digits (0, 2, 3, 5)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1487\" height=\"663\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0235.png\" alt=\"\" class=\"wp-image-14484\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0235.png 1487w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0235-300x134.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0235-1024x457.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0235-768x342.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0235-535x239.png 535w\" sizes=\"(max-width: 1487px) 100vw, 1487px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1487\" height=\"663\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0235w.png\" alt=\"\" class=\"wp-image-14485\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0235w.png 1487w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0235w-300x134.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0235w-1024x457.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0235w-768x342.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0235w-535x239.png 535w\" sizes=\"(max-width: 1487px) 100vw, 1487px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-3849a5c2cc3e68734acb7cf013d56eec\">Example 15. The Digits (0, 1, 3, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1266\" height=\"716\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0138-1.png\" alt=\"\" class=\"wp-image-14488\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0138-1.png 1266w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0138-1-300x170.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0138-1-1024x579.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0138-1-768x434.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0138-1-535x303.png 535w\" sizes=\"(max-width: 1266px) 100vw, 1266px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1266\" height=\"716\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0138w.png\" alt=\"\" class=\"wp-image-14489\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0138w.png 1266w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0138w-300x170.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0138w-1024x579.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0138w-768x434.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-0138w-535x303.png 535w\" sizes=\"(max-width: 1266px) 100vw, 1266px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-background\" style=\"background:linear-gradient(135deg,rgb(255,206,236) 0%,rgb(255,255,255) 49%,rgb(152,150,240) 100%)\">Thus, we have four examples of <strong>water reflection<\/strong> <strong>semi-magic<\/strong> squares of order 15 having <strong>4-digits cells entries<\/strong> with four numbers combinations (2, 3, 5, 8), (1, 2, 3, 5), (0, 2, 3, 5) and (0,1, 3, 8). The blocks of order 5 are <strong>pandiagonal<\/strong> magic squares with different magic sums<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-fc76ea2193f8773edb397f7f823a4610\">b) 6-Digits Cell Entries:<\/h3>\n\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-5034ab748f6901bf1dfb7f84c941d1c9\">Example 16. The Digits (2, 3, 5)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1650\" height=\"661\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-235.png\" alt=\"\" class=\"wp-image-14492\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-235.png 1650w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-235-300x120.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-235-1024x410.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-235-768x308.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-235-535x214.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-235-1536x615.png 1536w\" sizes=\"(max-width: 1650px) 100vw, 1650px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1650\" height=\"661\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-235w.png\" alt=\"\" class=\"wp-image-14493\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-235w.png 1650w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-235w-300x120.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-235w-1024x410.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-235w-768x308.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-235w-535x214.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-235w-1536x615.png 1536w\" sizes=\"(max-width: 1650px) 100vw, 1650px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-ad4fc2d82a3ac7db16ce7f666928dd09\">Example 17. The Digits (1, 3, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1497\" height=\"666\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-138.png\" alt=\"\" class=\"wp-image-14495\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-138.png 1497w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-138-300x133.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-138-1024x456.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-138-768x342.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-138-535x238.png 535w\" sizes=\"(max-width: 1497px) 100vw, 1497px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1497\" height=\"666\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-138w.png\" alt=\"\" class=\"wp-image-14496\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-138w.png 1497w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-138w-300x133.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-138w-1024x456.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-138w-768x342.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-138w-535x238.png 535w\" sizes=\"(max-width: 1497px) 100vw, 1497px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-9453ac830227ef56ece17d236408462a\">Example 18. The Digits (0, 3, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1499\" height=\"663\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-038.png\" alt=\"\" class=\"wp-image-14497\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-038.png 1499w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-038-300x133.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-038-1024x453.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-038-768x340.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-038-535x237.png 535w\" sizes=\"(max-width: 1499px) 100vw, 1499px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1499\" height=\"663\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-038w.png\" alt=\"\" class=\"wp-image-14498\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-038w.png 1499w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-038w-300x133.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-038w-1024x453.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-038w-768x340.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-038w-535x237.png 535w\" sizes=\"(max-width: 1499px) 100vw, 1499px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-3b5b5793557df09632abae36c8e5cebc\">Example 19. The Digits (0, 1, 3)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1500\" height=\"663\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-013.png\" alt=\"\" class=\"wp-image-14499\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-013.png 1500w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-013-300x133.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-013-1024x453.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-013-768x339.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-013-535x236.png 535w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1500\" height=\"663\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-013w-1.png\" alt=\"\" class=\"wp-image-14500\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-013w-1.png 1500w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-013w-1-300x133.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-013w-1-1024x453.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-013w-1-768x339.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-013w-1-535x236.png 535w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-background\" style=\"background:linear-gradient(135deg,rgb(255,206,236) 0%,rgb(255,255,255) 49%,rgb(152,150,240) 100%)\">Thus, we have four examples of <strong>water reflection<\/strong> <strong>semi-magic<\/strong> squares of order 15 having <strong>6-digits cells entries<\/strong> with three numbers combinations (2, 3, 5), (1, 3, 8), (0, 3, 8) and (0,1, 3). The blocks of order 5 are <strong>pandiagonal<\/strong> magic squares with different magic sums.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-d15a2831c10df8655df53d4a90bd1e2f\">c) 8-Digits Cell Entries:<\/h3>\n\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-6ad518aa4aea428e1b10cab54a917bd3\">Example 20. The Digits (3, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1850\" height=\"663\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-38.png\" alt=\"\" class=\"wp-image-14501\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-38.png 1850w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-38-300x108.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-38-1024x367.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-38-768x275.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-38-535x192.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-38-1536x550.png 1536w\" sizes=\"(max-width: 1850px) 100vw, 1850px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1850\" height=\"663\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-38w.png\" alt=\"\" class=\"wp-image-14502\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-38w.png 1850w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-38w-300x108.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-38w-1024x367.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-38w-768x275.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-38w-535x192.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-38w-1536x550.png 1536w\" sizes=\"(max-width: 1850px) 100vw, 1850px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-c227b1deea862597aafa7492aebca9a3\">Example 21. The Digits (1, 3)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1846\" height=\"662\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-13.png\" alt=\"\" class=\"wp-image-14503\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-13.png 1846w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-13-300x108.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-13-1024x367.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-13-768x275.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-13-535x192.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-13-1536x551.png 1536w\" sizes=\"(max-width: 1846px) 100vw, 1846px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1846\" height=\"662\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-13w.png\" alt=\"\" class=\"wp-image-14504\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-13w.png 1846w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-13w-300x108.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-13w-1024x367.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-13w-768x275.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-13w-535x192.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-13w-1536x551.png 1536w\" sizes=\"(max-width: 1846px) 100vw, 1846px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-bb563554c110ab27c1af7bac4b681457\">Example 22. The Digits (0, 3)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1848\" height=\"665\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-03.png\" alt=\"\" class=\"wp-image-14505\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-03.png 1848w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-03-300x108.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-03-1024x368.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-03-768x276.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-03-535x193.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-03-1536x553.png 1536w\" sizes=\"(max-width: 1848px) 100vw, 1848px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1848\" height=\"665\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-03w.png\" alt=\"\" class=\"wp-image-14506\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-03w.png 1848w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-03w-300x108.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-03w-1024x368.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-03w-768x276.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-03w-535x193.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-03w-1536x553.png 1536w\" sizes=\"(max-width: 1848px) 100vw, 1848px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-background\" style=\"background:linear-gradient(135deg,rgb(255,206,236) 0%,rgb(255,255,255) 49%,rgb(152,150,240) 100%)\">Thus, we have three examples of <strong>water reflection<\/strong> <strong>semi-magic<\/strong> squares of order 15 having <strong>8-digits cells entries<\/strong> with 2 numbers combinations (3, 8), (1, 3) and (0, 3). The blocks of order 5 are <strong>pandiagonal <\/strong>magic squares of order 5 with different magic sums.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(202,248,128) 0%,rgb(212,193,193) 22%,rgb(18,184,20) 57%,rgb(237,212,212) 74%,rgb(113,206,126) 100%)\">Magic Squares of Order 15:<br>Blocks of Semi-Magic Squares of Order 3<\/h3>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-b3248557d1aa4dcff9211f489d6d0e48\">8-Digits Cell Entries:<\/h3>\n\n\n\n<p>In this case we have only the results for 2-digits combinations where each cell have 8-digits. See below three examples <\/p>\n\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-0cc16e35f0c7f6daa7a8f5b586eefe99\">Example 23. The Digits (3, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1850\" height=\"673\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-38.png\" alt=\"\" class=\"wp-image-14507\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-38.png 1850w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-38-300x109.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-38-1024x373.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-38-768x279.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-38-535x195.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-38-1536x559.png 1536w\" sizes=\"(max-width: 1850px) 100vw, 1850px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1850\" height=\"673\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-38w.png\" alt=\"\" class=\"wp-image-14508\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-38w.png 1850w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-38w-300x109.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-38w-1024x373.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-38w-768x279.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-38w-535x195.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-38w-1536x559.png 1536w\" sizes=\"(max-width: 1850px) 100vw, 1850px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-64b6d7003532bdd18a13d08cd0c7e1f2\">Example 24. The Digits (1, 3)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1851\" height=\"678\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-13.png\" alt=\"\" class=\"wp-image-14509\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-13.png 1851w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-13-300x110.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-13-1024x375.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-13-768x281.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-13-535x196.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-13-1536x563.png 1536w\" sizes=\"(max-width: 1851px) 100vw, 1851px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1851\" height=\"678\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-13w.png\" alt=\"\" class=\"wp-image-14510\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-13w.png 1851w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-13w-300x110.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-13w-1024x375.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-13w-768x281.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-13w-535x196.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-13w-1536x563.png 1536w\" sizes=\"(max-width: 1851px) 100vw, 1851px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-8062992ace55fb7ede4032187016b079\">Example 25. The Digits (0, 3)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1854\" height=\"677\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-03.png\" alt=\"\" class=\"wp-image-14511\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-03.png 1854w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-03-300x110.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-03-1024x374.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-03-768x280.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-03-535x195.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-03-1536x561.png 1536w\" sizes=\"(max-width: 1854px) 100vw, 1854px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1854\" height=\"677\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-03w.png\" alt=\"\" class=\"wp-image-14512\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-03w.png 1854w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-03w-300x110.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-03w-1024x374.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-03w-768x280.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-03w-535x195.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-3x3-03w-1536x561.png 1536w\" sizes=\"(max-width: 1854px) 100vw, 1854px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-background\" style=\"background:linear-gradient(135deg,rgb(255,206,236) 0%,rgb(255,255,255) 49%,rgb(152,150,240) 100%)\">Thus, we have three examples of <strong>water reflection<\/strong> <strong>semi-magic<\/strong> squares of order 15 having <strong>8-digits cells entries<\/strong> with 2 numbers combinations (3, 8), (1, 3) and (0, 3). The blocks of order 3 are <strong>semi-magic<\/strong> squares of order 3 with different <strong>semi-magic<\/strong> sums.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(202,248,128) 0%,rgb(212,193,193) 22%,rgb(18,184,20) 57%,rgb(237,212,212) 74%,rgb(113,206,126) 100%)\">Magic and Bimagic Squares of Order 16:<br>Blocks of Magic Squares of Order 4<\/h3>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-b3fd78649fe4d2408410d66cfcf938a5\">a) 4-Digits Cell Entries:<\/h3>\n\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-b100377e321e4e48d6ccbf8abeae93e1\">Example 26. The Digits (2, 3, 5, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1577\" height=\"730\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-2358.png\" alt=\"\" class=\"wp-image-14522\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-2358.png 1577w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-2358-300x139.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-2358-1024x474.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-2358-768x356.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-2358-535x248.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-2358-1536x711.png 1536w\" sizes=\"(max-width: 1577px) 100vw, 1577px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1577\" height=\"730\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-2358w.png\" alt=\"\" class=\"wp-image-14523\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-2358w.png 1577w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-2358w-300x139.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-2358w-1024x474.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-2358w-768x356.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-2358w-535x248.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-2358w-1536x711.png 1536w\" sizes=\"(max-width: 1577px) 100vw, 1577px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-de76efe5469111dd3512cd510a53f2bb\">Example 27. The Digits (1, 2, 3, 5)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1557\" height=\"727\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-1235.png\" alt=\"\" class=\"wp-image-14524\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-1235.png 1557w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-1235-300x140.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-1235-1024x478.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-1235-768x359.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-1235-535x250.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-1235-1536x717.png 1536w\" sizes=\"(max-width: 1557px) 100vw, 1557px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1557\" height=\"727\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-1235w.png\" alt=\"\" class=\"wp-image-14525\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-1235w.png 1557w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-1235w-300x140.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-1235w-1024x478.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-1235w-768x359.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-1235w-535x250.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-1235w-1536x717.png 1536w\" sizes=\"(max-width: 1557px) 100vw, 1557px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-47b2d818d14796d4b603dcb72fbcbfb2\">Example 28. The Digits (0, 2, 3, 5)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1582\" height=\"732\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0235.png\" alt=\"\" class=\"wp-image-14526\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0235.png 1582w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0235-300x139.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0235-1024x474.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0235-768x355.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0235-535x248.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0235-1536x711.png 1536w\" sizes=\"(max-width: 1582px) 100vw, 1582px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1582\" height=\"732\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0235w.png\" alt=\"\" class=\"wp-image-14527\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0235w.png 1582w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0235w-300x139.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0235w-1024x474.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0235w-768x355.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0235w-535x248.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0235w-1536x711.png 1536w\" sizes=\"(max-width: 1582px) 100vw, 1582px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-5a8717e4a1af624e0983626907d37807\">Example 29. The Digits (0, 1, 3, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1350\" height=\"767\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0138.png\" alt=\"\" class=\"wp-image-14528\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0138.png 1350w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0138-300x170.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0138-1024x582.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0138-768x436.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0138-535x304.png 535w\" sizes=\"(max-width: 1350px) 100vw, 1350px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1350\" height=\"767\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0138w.png\" alt=\"\" class=\"wp-image-14529\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0138w.png 1350w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0138w-300x170.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0138w-1024x582.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0138w-768x436.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-0138w-535x304.png 535w\" sizes=\"(max-width: 1350px) 100vw, 1350px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-background\" style=\"background:linear-gradient(135deg,rgb(255,206,236) 0%,rgb(255,255,255) 49%,rgb(152,150,240) 100%)\">Thus, we have four examples of <strong>water reflection<\/strong> <strong>bimagic<\/strong> squares of order 16 having <strong>4-digits cells entries<\/strong> with four numbers combinations (2, 3, 5, 8), (1, 2, 3, 5), (0, 2, 3, 5) and (0,1, 3, 8). The blocks of order 4 are  magic squares of order 4 with equal magic sums.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-fc76ea2193f8773edb397f7f823a4610\">b) 6-Digits Cell Entries:<\/h3>\n\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-307dc4b3a9822f49e8af69df24000651\">Example 30. The Digits (2, 3, 5)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2110\" height=\"732\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-235.png\" alt=\"\" class=\"wp-image-14530\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-235.png 2110w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-235-300x104.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-235-1024x355.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-235-768x266.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-235-535x186.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-235-1536x533.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-235-2048x710.png 2048w\" sizes=\"(max-width: 2110px) 100vw, 2110px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2110\" height=\"732\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-235w.png\" alt=\"\" class=\"wp-image-14531\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-235w.png 2110w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-235w-300x104.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-235w-1024x355.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-235w-768x266.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-235w-535x186.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-235w-1536x533.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-235w-2048x710.png 2048w\" sizes=\"(max-width: 2110px) 100vw, 2110px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-2d1c2b7dd3723511c675452300ef58bd\">Example 31. The Digits (1, 3, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1786\" height=\"768\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-138.png\" alt=\"\" class=\"wp-image-14532\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-138.png 1786w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-138-300x129.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-138-1024x440.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-138-768x330.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-138-535x230.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-138-1536x660.png 1536w\" sizes=\"(max-width: 1786px) 100vw, 1786px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1786\" height=\"768\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-138w.png\" alt=\"\" class=\"wp-image-14533\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-138w.png 1786w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-138w-300x129.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-138w-1024x440.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-138w-768x330.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-138w-535x230.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-138w-1536x660.png 1536w\" sizes=\"(max-width: 1786px) 100vw, 1786px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-4e41ed91dc441278868a9a52f3081fd1\">Example 32. The Digits (0, 3, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1786\" height=\"764\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-038.png\" alt=\"\" class=\"wp-image-14534\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-038.png 1786w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-038-300x128.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-038-1024x438.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-038-768x329.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-038-535x229.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-038-1536x657.png 1536w\" sizes=\"(max-width: 1786px) 100vw, 1786px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1786\" height=\"764\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-038w.png\" alt=\"\" class=\"wp-image-14535\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-038w.png 1786w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-038w-300x128.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-038w-1024x438.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-038w-768x329.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-038w-535x229.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-038w-1536x657.png 1536w\" sizes=\"(max-width: 1786px) 100vw, 1786px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-49ad73c2c25d38838764c18c94315e61\">Example 33. The Digits (0, 1, 3)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1785\" height=\"764\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-013.png\" alt=\"\" class=\"wp-image-14536\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-013.png 1785w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-013-300x128.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-013-1024x438.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-013-768x329.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-013-535x229.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-013-1536x657.png 1536w\" sizes=\"(max-width: 1785px) 100vw, 1785px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1785\" height=\"764\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-013w.png\" alt=\"\" class=\"wp-image-14537\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-013w.png 1785w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-013w-300x128.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-013w-1024x438.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-013w-768x329.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-013w-535x229.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-013w-1536x657.png 1536w\" sizes=\"(max-width: 1785px) 100vw, 1785px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-background\" style=\"background:linear-gradient(135deg,rgb(255,206,236) 0%,rgb(255,255,255) 49%,rgb(152,150,240) 100%)\">Thus, we have four examples of <strong>water reflection<\/strong> magic<strong> <\/strong>squares of order 16 having <strong>6-digits cells entries<\/strong> with three numbers combinations (2, 3, 5), (1, 3, 8), (0, 3, 8) and (0,1, 3). The blocks of order 4 are magic squares of order 4 with different magic sums.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-e60ec8a409b78f65074bf08990e731c6\">c) 8-Digits Cell Entries: Bimagic Squares<\/h3>\n\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-820c5522ed32c3949578750449964a72\">Example 34. The Digits (3, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2224\" height=\"764\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38b.png\" alt=\"\" class=\"wp-image-14538\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38b.png 2224w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38b-300x103.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38b-1024x352.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38b-768x264.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38b-535x184.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38b-1536x528.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38b-2048x704.png 2048w\" sizes=\"(max-width: 2224px) 100vw, 2224px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2224\" height=\"764\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38bw.png\" alt=\"\" class=\"wp-image-14539\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38bw.png 2224w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38bw-300x103.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38bw-1024x352.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38bw-768x264.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38bw-535x184.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38bw-1536x528.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38bw-2048x704.png 2048w\" sizes=\"(max-width: 2224px) 100vw, 2224px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-7e85d2945a4996d45e9b9c192bdbd192\">Example 35. The Digits (1, 3)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2221\" height=\"763\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13b.png\" alt=\"\" class=\"wp-image-14542\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13b.png 2221w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13b-300x103.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13b-1024x352.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13b-768x264.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13b-535x184.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13b-1536x528.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13b-2048x704.png 2048w\" sizes=\"(max-width: 2221px) 100vw, 2221px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2221\" height=\"763\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13bw.png\" alt=\"\" class=\"wp-image-14543\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13bw.png 2221w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13bw-300x103.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13bw-1024x352.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13bw-768x264.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13bw-535x184.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13bw-1536x528.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13bw-2048x704.png 2048w\" sizes=\"(max-width: 2221px) 100vw, 2221px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-70212819d8225e80731ab0382170a72c\">Example 36. The Digits (0, 3)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2221\" height=\"767\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03b.png\" alt=\"\" class=\"wp-image-14540\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03b.png 2221w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03b-300x104.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03b-1024x354.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03b-768x265.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03b-535x185.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03b-1536x530.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03b-2048x707.png 2048w\" sizes=\"(max-width: 2221px) 100vw, 2221px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2221\" height=\"767\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03bw.png\" alt=\"\" class=\"wp-image-14541\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03bw.png 2221w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03bw-300x104.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03bw-1024x354.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03bw-768x265.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03bw-535x185.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03bw-1536x530.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03bw-2048x707.png 2048w\" sizes=\"(max-width: 2221px) 100vw, 2221px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-background\" style=\"background:linear-gradient(135deg,rgb(255,206,236) 0%,rgb(255,255,255) 49%,rgb(152,150,240) 100%)\">Thus, we have three examples of <strong>water reflection<\/strong> <strong>bimagic<\/strong> squares of order 16 having <strong>8-digits cells entries<\/strong> with 2 numbers combinations (3, 8), (1, 3) and (0, 3). The blocks of order 4 are magic squares of order 4 with equal magic sums.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-e47924757ca8ebd0c7d4246d80ff161b\">d) 8-Digits Cell Entries: Pandiagonal Magic Squares<\/h3>\n\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-532d11767b210f468031a384e8d48e06\">Example 37. The Digits (3, 8)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2221\" height=\"764\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38p.png\" alt=\"\" class=\"wp-image-14544\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38p.png 2221w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38p-300x103.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38p-1024x352.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38p-768x264.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38p-535x184.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38p-1536x528.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38p-2048x704.png 2048w\" sizes=\"(max-width: 2221px) 100vw, 2221px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2221\" height=\"764\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38pw.png\" alt=\"\" class=\"wp-image-14545\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38pw.png 2221w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38pw-300x103.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38pw-1024x352.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38pw-768x264.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38pw-535x184.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38pw-1536x528.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-38pw-2048x704.png 2048w\" sizes=\"(max-width: 2221px) 100vw, 2221px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-87a6f0e9a1e7cfbdd012f0f685967ba8\">Example 39. The Digits (1, 3)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2220\" height=\"764\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13p.png\" alt=\"\" class=\"wp-image-14546\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13p.png 2220w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13p-300x103.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13p-1024x352.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13p-768x264.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13p-535x184.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13p-1536x529.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13p-2048x705.png 2048w\" sizes=\"(max-width: 2220px) 100vw, 2220px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2220\" height=\"764\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13pw.png\" alt=\"\" class=\"wp-image-14547\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13pw.png 2220w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13pw-300x103.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13pw-1024x352.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13pw-768x264.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13pw-535x184.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13pw-1536x529.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-13pw-2048x705.png 2048w\" sizes=\"(max-width: 2220px) 100vw, 2220px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-0b4836da9df40d7de0abc589e13472e8\">Example 39. The Digits (0, 3)<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2222\" height=\"764\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03p.png\" alt=\"\" class=\"wp-image-14548\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03p.png 2222w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03p-300x103.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03p-1024x352.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03p-768x264.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03p-535x184.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03p-1536x528.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03p-2048x704.png 2048w\" sizes=\"(max-width: 2222px) 100vw, 2222px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-f723ed23e74b265d646e75c9fd253b22\">Water Reflection Image<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2222\" height=\"764\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03pw.png\" alt=\"\" class=\"wp-image-14549\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03pw.png 2222w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03pw-300x103.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03pw-1024x352.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03pw-768x264.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03pw-535x184.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03pw-1536x528.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/16x16-03pw-2048x704.png 2048w\" sizes=\"(max-width: 2222px) 100vw, 2222px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-background\" style=\"background:linear-gradient(135deg,rgb(255,206,236) 0%,rgb(255,255,255) 49%,rgb(152,150,240) 100%)\">Thus, we have three examples of <strong>water reflection<\/strong> <strong>pandiagonal<\/strong> squares of order 16 having <strong>8-digits cells entries<\/strong> with 2 numbers combinations (3, 8), (1, 3) and (0, 3). The blocks of order 4 are also<strong> pandiagonal <\/strong> magic squares of order 4 with equal magic sums.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(202,248,128) 0%,rgb(212,193,193) 22%,rgb(18,184,20) 57%,rgb(237,212,212) 74%,rgb(113,206,126) 100%)\">References<\/h3>\n\n\n\n<p class=\"has-background\" style=\"background:linear-gradient(135deg,rgb(255,206,236) 0%,rgb(255,255,255) 51%,rgb(152,150,240) 100%)\">Below are references of complete project in 8 parts for the orders 3 to 25. Mainly, it includes three things: <strong>Upside-down, Mirror Looking<\/strong> and <strong>Water Reflection<\/strong> properties of magic squares.<\/p>\n\n\n\n<ol class=\"wp-block-list has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background\">\n<li><strong>Inder J. Taneja<\/strong>, <em>Upside-Down, Mirror Looking and Water Reflection Magic Squares: Orders 3 to 6<\/em>, <strong>Zenodo<\/strong>, January 07, 2025, pp. 1-93, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.14607070\">https:\/\/doi.org\/10.5281\/zenodo.14607070<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site link: <a href=\"https:\/\/numbers-magic.com\/?p=12610\">Universal and Upside-Down Magic Squares of Order 3 to 6 (new site)<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/numbers-magic.com\/?p=14126\">Water Reflexive Magic Squares: Order 3 to 6 (new site)<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2024\/09\/30\/universal-and-upside-down-magic-squares-of-order-3-to-6\/\">Universal and Upside-Down Magic Squares of Order 3 to 6 (old site)<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/01\/11\/water-reflexive-magic-squares-order-3-to-6\/\">Water Reflexive Magic Squares: Order 3 to 6 (old site)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, <em>Upside-Down, Mirror Looking and Water Reflection Magic Squares: Orders 7 to 10<\/em>, <strong>Zenodo<\/strong>, January 07, 2025, pp. 1-171, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.14607071\">https:\/\/doi.org\/10.5281\/zenodo.14607071<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site link: <a href=\"https:\/\/numbers-magic.com\/?p=12654\">Universal and Upside-Down Magic Squares of Orders 7 to 10 (new site)<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/numbers-magic.com\/?p=14213\">Water Reflexive Magic Squares: Order 7 to 10 (new site)<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2024\/09\/30\/universal-and-upside-down-magic-squares-of-orders-7-to-10\/\">Universal and Upside-Down Magic Squares of Orders 7 to 10 (old site)<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/01\/11\/water-reflexive-magic-squares-order-3-to-6\/\"><\/a><a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/01\/11\/water-reflexive-magic-squares-order-7-to-10\/\">Water Reflexive Magic Squares: Order 7 to 10 (old site)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, <em>Upside-Down, Mirror Looking and Water Reflection Magic Squares: Orders 11 to 13<\/em>, <strong>Zenodo<\/strong>, January 15, 2025, pp. 1-146, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.14649320\">https:\/\/doi.org\/10.5281\/zenodo.14649320<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site link: <a href=\"https:\/\/numbers-magic.com\/?p=12731\">Universal and Upside-Down Magic Squares of Orders 11 to 15 (new site)<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/numbers-magic.com\/?p=14339\">Water Reflection Magic Squares: Order 11 to 13 (new site).<\/a> <\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2024\/10\/07\/universal-and-upside-down-magic-squares-of-orders-11-to-15\/\">Universal and Upside-Down Magic Squares of Orders 11 to 15 (old site)<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/01\/23\/water-reflection-magic-squares-orders-11-to-13\/\">Water Reflection Magic Squares: Orders 11 to 13 (old site)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, <em>Upside-Down, Mirror Looking and Water Reflection Magic Squares: Orders 14 to 16<\/em>, <strong>Zenodo<\/strong>, January 15, 2024, pp. 1-140, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.14649519\">https:\/\/doi.org\/10.5281\/zenodo.14649519<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site link: <a href=\"https:\/\/numbers-magic.com\/?p=13138\">Universal and Upside-Down Magic and Bimagic Squares of Order 16 (new site) <\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/numbers-magic.com\/?p=13138\"><\/a><a href=\"https:\/\/numbers-magic.com\/?p=14518\">Water Reflection Magic Squares: Order 14 to 16 (new site).<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2024\/10\/16\/universal-and-upside-down-magic-and-bimagic-squares-of-order-16\/\">Universal and Upside-Down Magic and Bimagic Squares of Order 16 (old site)<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/01\/23\/water-reflection-magic-squares-orders-14-to-16\/\">Water Reflection Magic Squares: Orders 14 to 16 (old site)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, <em>Upside-Down, Mirror Looking and Water Reflection Magic Squares: Orders 17 to 20<\/em>, Zenodo, January 17, 2025, pp. 1-86, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.14676293\">https:\/\/doi.org\/10.5281\/zenodo.14676293<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site link: <a href=\"https:\/\/numbers-magic.com\/?p=13186\">Universal and Upside-Down Magic Squares of Order 20 (new site)<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/numbers-magic.com\/?p=13186\"><\/a><a href=\"https:\/\/numbers-magic.com\/?p=14561\">Water Reflection Magic Squares: Orders 17 to 20 (new site)<\/a>.<\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2024\/10\/23\/universal-and-upside-down-magic-and-bimagic-squares-of-order-16-2\/\">Universal and Upside-Down Magic Squares of Order 20 (old site)<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/01\/23\/water-reflection-magic-squares-orders-17-to-20\/\">Water Reflection Magic Squares: Orders 17 to 20 (old site)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, <em>Upside-Down, Mirror Looking and Water Reflection Magic Squares: Orders 21 to 23<\/em>, <strong>Zenodo<\/strong>, January 20, 2025, pp. 1-83,  <a href=\"https:\/\/doi.org\/10.5281\/zenodo.14688709\">https:\/\/doi.org\/10.5281\/zenodo.14688709<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site link: <a href=\"https:\/\/numbers-magic.com\/?p=13242\">Universal and Upside-Down Magic Squares of Order 21 (new site)<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/numbers-magic.com\/?p=13242\"><\/a><a href=\"https:\/\/numbers-magic.com\/?p=14616\">Water Reflection Magic Squares: Orders 21 to 23 (new site).<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2024\/10\/23\/10984\/\">Universal and Upside-Down Magic Squares of Order 21 (old site)<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/01\/23\/water-reflection-magic-squares-orders-21-to-23\/\">Water Reflection Magic Squares: Orders 21 to 23 (old site)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, <em>Upside-Down, Mirror Looking and Water Reflection Magic Squares: Order 24<\/em>, <strong>Zenodo<\/strong>, Janeiro 20, 2025, pp. 1-150, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.14700325\">https:\/\/doi.org\/10.5281\/zenodo.14700325<\/a>\n<ul class=\"wp-block-list\">\n<li>Site link: <a href=\"https:\/\/numbers-magic.com\/?p=13299\">Universal and Upside-Down Magic Squares of Order 24 (new site)<\/a><\/li>\n\n\n\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=14668\">Water Reflection Magic Squares: Order 24 (new site)<\/a>.<\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2024\/10\/29\/universal-and-upside-down-magic-squares-of-order-24\/\">Universal and Upside-Down Magic Squares of Order 24 (old site)<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/01\/23\/water-reflection-magic-squares-order-24\/\">Water Reflection Magic Squares: Order 24 (old site)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, <em>Upside-Down, Mirror Looking and Water Reflection Magic Squares: Order 25<\/em>, <strong>Zenodo<\/strong>, January 21, 2025, pp. 1-79, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.14715162\">https:\/\/doi.org\/10.5281\/zenodo.14715162<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site link: <a href=\"https:\/\/numbers-magic.com\/?p=13336\">Universal and Upside-Down Magic and Bimagic Squares of Order 25 (new site) <\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/numbers-magic.com\/?p=14749\">Water Reflection Magic Squares: Order 25. (new site)<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2024\/10\/30\/universal-and-upside-down-magic-and-bimagic-squares-of-order-25\/\">Universal and Upside-Down Magic and Bimagic Squares of Order 25 (old site)<\/a><\/li>\n\n\n\n<li>Site link: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/01\/23\/water-reflection-magic-squares-order-25\/\">Water Reflection Magic Squares: Order 25 (old site)<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>This work brings more concepts in magic squares. In past we studied a lot of upside-down and mirror looking magic squares. These are based some kind of digital\/special fonts. To understand better let&#8217;s consider the following 10 digits from 0 to 9: Upside-down (180 degrees rotation) Let&#8217;s make 180 degrees rotation over the above 10 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":14480,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[3],"tags":[],"class_list":["post-14518","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-magic-squares"],"jetpack_featured_media_url":"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/01\/15x15-5x5-2358.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/14518","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=14518"}],"version-history":[{"count":6,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/14518\/revisions"}],"predecessor-version":[{"id":14793,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/14518\/revisions\/14793"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/14480"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14518"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14518"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14518"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}