{"id":12326,"date":"2024-08-23T22:24:25","date_gmt":"2024-08-24T01:24:25","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=12326"},"modified":"2025-03-17T20:37:57","modified_gmt":"2025-03-17T23:37:57","slug":"striped-magic-squares-of-order-20","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=12326","title":{"rendered":"8000+ Striped Magic Squares of Order 20"},"content":{"rendered":"\n<p class=\"has-text-align-justify\">This work brings striped magic squares of order 20. Before we proceed further below examples of 9 stripes used in whole the work.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(122,220,180) 0%,rgb(140,215,27) 66%,rgb(0,208,130) 100%)\">Striped Magic Rectangles<\/h3>\n\n\n\n<p><\/p>\n\n\n\n<p>Below are examples of <strong>magic rectangles<\/strong> used in this work. These are orders 2&#215;4 to 2&#215;20 used in this work. Since all these are of equal width, we call them <strong>stripes<\/strong>.<\/p>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1283\" height=\"1271\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2xn.png\" alt=\"\" class=\"wp-image-12327\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2xn.png 1283w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2xn-300x297.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2xn-1024x1014.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2xn-150x150.png 150w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2xn-768x761.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2xn-535x530.png 535w\" sizes=\"(max-width: 1283px) 100vw, 1283px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify\">Whole the work on <strong>striped magic squares of order 20<\/strong> are always among above 9 types of magic rectangles, where the width is always same. The change is only in length. According to the order of the stripes the entries are different but the sums are always same.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify\">Below are few examples of <strong>striped magic squares of order 20<\/strong>. Due to high quantity of magic squares these are divided in 9 parts given as follows:<\/p>\n\n\n\n<p><\/p>\n\n\n\n<ul style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 27%,rgb(18,240,103) 77%,rgb(255,105,0) 100%)\" class=\"wp-block-list has-background\">\n<li><strong>Part 1: <\/strong><em>General and Cornered Striped Magic Squares of Order 20<\/em><\/li>\n\n\n\n<li><strong>Part 2: <\/strong><em>Two Magic Squares of Order 8 at Corners<\/em><\/li>\n\n\n\n<li><strong>Part 3: <\/strong><em>Four Magic Squares of Order 8 at Corners<\/em><\/li>\n\n\n\n<li><strong>Part 4: <\/strong><em>Centered With Striped Magic Square of Order 4<\/em><\/li>\n\n\n\n<li><strong>Part 5: <\/strong><em>Centered With Striped Magic Square of Order 8<\/em><\/li>\n\n\n\n<li><strong>Part 6:<\/strong> <em>Centered With Striped Magic Square of Order 12<\/em><\/li>\n\n\n\n<li><strong>Part 7:<\/strong> <em>(a + b)<sup>2<\/sup>-Type Striped Magic Squares: a=12, b=8, ab=12\u00d78 and ba =8\u00d712<\/em><\/li>\n\n\n\n<li><strong>Part 8:<\/strong> <em>Centered With Striped Magic Square of Order 16<\/em><\/li>\n\n\n\n<li><strong>Part 9:<\/strong> <em>(a + b)<sup>2<\/sup>-Type Striped Magic Squares: a=16, b=4, ab=16\u00d74 and ba=4\u00d716<\/em><\/li>\n<\/ul>\n\n\n\n<p>For online work click the following:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Inder J. Taneja<\/strong>, 8000+ Striped Magic Squares of 20, <strong>Zenodo<\/strong>, March 15, 2025, pp. 1-37, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.15032524\">https:\/\/doi.org\/10.5281\/zenodo.15032524<\/a>.<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(255,203,112) 0%,rgb(255,255,255) 16%,rgb(199,81,192) 50%,rgb(255,255,255) 80%,rgb(65,88,208) 100%)\">Striped Magic Squares of Order 20<\/h3>\n\n\n\n<p>The total work contains 9 parts divided in separate categories. Total there are 8042 striped magic squares of order 20.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 51%,rgb(255,105,0) 100%)\">Part 1: General and Cornered Striped Magic Squares of Order 20 <\/h3>\n\n\n\n<p class=\"has-text-align-justify\">This part is with striped magic squares of order 20. This part brings some magic squares of order 20 made in a general way. Some them include<strong> striped cornered, striped double digits bordered<\/strong>, etc. Below are few examples:<\/p>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" width=\"1334\" height=\"771\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-1.png\" alt=\"\" class=\"wp-image-12349\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-1.png 1334w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-1-300x173.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-1-1024x592.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-1-768x444.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-1-535x309.png 535w\" sizes=\"(max-width: 1334px) 100vw, 1334px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" width=\"1341\" height=\"774\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-2.png\" alt=\"\" class=\"wp-image-12350\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-2.png 1341w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-2-300x173.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-2-1024x591.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-2-768x443.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-2-535x309.png 535w\" sizes=\"(max-width: 1341px) 100vw, 1341px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1340\" height=\"768\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-3.png\" alt=\"\" class=\"wp-image-12351\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-3.png 1340w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-3-300x172.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-3-1024x587.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-3-768x440.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-3-535x307.png 535w\" sizes=\"(max-width: 1340px) 100vw, 1340px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1331\" height=\"769\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-4.png\" alt=\"\" class=\"wp-image-12352\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-4.png 1331w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-4-300x173.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-4-1024x592.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-4-768x444.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/1-4-535x309.png 535w\" sizes=\"(max-width: 1331px) 100vw, 1331px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify\">In this case total there are  <strong>266 striped magic squares<\/strong> <strong>of order 20<\/strong>. See more in pdf file given below:<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-align-center has-pale-ocean-gradient-background has-background\">Pdf file of Part 1<\/h4>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file aligncenter\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-1.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of 20x20-1.\"><\/object><a id=\"wp-block-file--media-313a82a6-4a75-4178-8aab-517209e4796b\" href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-1.pdf\">20&#215;20-1<\/a><a href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-1.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-313a82a6-4a75-4178-8aab-517209e4796b\">Download<\/a><\/div>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 51%,rgb(255,105,0) 100%)\">Part 2: Two Magic Squares of Order 8 at Corners<\/h3>\n\n\n\n<p class=\"has-text-align-justify\">This part brings some <strong>striped magic squares of order 20<\/strong> made in a such a way that there are two magic squares of order 8 at oposite corners. Below are few examples:<\/p>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1342\" height=\"767\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-1.png\" alt=\"\" class=\"wp-image-12353\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-1.png 1342w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-1-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-1-1024x585.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-1-768x439.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-1-535x306.png 535w\" sizes=\"(max-width: 1342px) 100vw, 1342px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1341\" height=\"772\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-2.png\" alt=\"\" class=\"wp-image-12354\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-2.png 1341w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-2-300x173.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-2-1024x590.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-2-768x442.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-2-535x308.png 535w\" sizes=\"(max-width: 1341px) 100vw, 1341px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1342\" height=\"773\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-3.png\" alt=\"\" class=\"wp-image-12355\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-3.png 1342w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-3-300x173.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-3-1024x590.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-3-768x442.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-3-535x308.png 535w\" sizes=\"(max-width: 1342px) 100vw, 1342px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1344\" height=\"768\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-4.png\" alt=\"\" class=\"wp-image-12356\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-4.png 1344w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-4-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-4-1024x585.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-4-768x439.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/2-4-535x306.png 535w\" sizes=\"(max-width: 1344px) 100vw, 1344px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify\">In this case total there are  <strong>550 striped magic squares of order 20<\/strong>. See more in pdf file given below:<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-align-center has-pale-ocean-gradient-background has-background\">Pdf file of Part 2: Cornered With 2 Striped Magic Squares of Order 8<\/h4>\n\n\n\n<p><\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file aligncenter\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-2.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of 20x20-2.\"><\/object><a id=\"wp-block-file--media-a1c0ae77-19f8-4e8f-89df-c8b16e36ea7a\" href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-2.pdf\">20&#215;20-2<\/a><a href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-2.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-a1c0ae77-19f8-4e8f-89df-c8b16e36ea7a\">Download<\/a><\/div>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 51%,rgb(255,105,0) 100%)\">Part 3: Four Magic Squares of Order 8 at Corners<\/h3>\n\n\n\n<p class=\"has-text-align-justify\">This part brings some <strong>striped magic squares of order 20<\/strong> made in a such a way that there are four striped magic squares of order 8 at each corner. Below are few examples:<\/p>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1354\" height=\"774\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-1.png\" alt=\"\" class=\"wp-image-12357\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-1.png 1354w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-1-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-1-1024x585.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-1-768x439.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-1-535x306.png 535w\" sizes=\"(max-width: 1354px) 100vw, 1354px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1361\" height=\"772\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-2.png\" alt=\"\" class=\"wp-image-12358\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-2.png 1361w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-2-300x170.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-2-1024x581.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-2-768x436.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-2-535x303.png 535w\" sizes=\"(max-width: 1361px) 100vw, 1361px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1352\" height=\"768\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-3.png\" alt=\"\" class=\"wp-image-12359\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-3.png 1352w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-3-300x170.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-3-1024x582.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-3-768x436.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-3-535x304.png 535w\" sizes=\"(max-width: 1352px) 100vw, 1352px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1355\" height=\"768\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-4.png\" alt=\"\" class=\"wp-image-12360\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-4.png 1355w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-4-300x170.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-4-1024x580.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-4-768x435.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/3-4-535x303.png 535w\" sizes=\"(max-width: 1355px) 100vw, 1355px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify\">In this case total there are <strong>484 striped magic squares of order 20<\/strong>. See more in pdf file given below:<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-align-center has-pale-ocean-gradient-background has-background\">Pdf file of Part 3: Cornered With 4 Striped Magic Squares of Order 8<\/h4>\n\n\n\n<p><\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file aligncenter\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-3.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of 20x20-3.\"><\/object><a id=\"wp-block-file--media-baca247f-3a0a-4d24-8725-e145593c2fc8\" href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-3.pdf\">20&#215;20-3<\/a><a href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-3.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-baca247f-3a0a-4d24-8725-e145593c2fc8\">Download<\/a><\/div>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 51%,rgb(255,105,0) 100%)\">Part 4: Centered With Striped Magic Square of Order 4<\/h3>\n\n\n\n<p class=\"has-text-align-justify\">This part brings some <strong>striped magic squares of order 20<\/strong> made in a such a way that there is a <strong>striped magic square of order 4<\/strong> at the centered.  Below are few examples:<\/p>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1359\" height=\"772\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-1.png\" alt=\"\" class=\"wp-image-12361\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-1.png 1359w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-1-300x170.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-1-1024x582.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-1-768x436.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-1-535x304.png 535w\" sizes=\"(max-width: 1359px) 100vw, 1359px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1357\" height=\"766\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-2.png\" alt=\"\" class=\"wp-image-12362\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-2.png 1357w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-2-300x169.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-2-1024x578.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-2-768x434.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-2-535x302.png 535w\" sizes=\"(max-width: 1357px) 100vw, 1357px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1358\" height=\"764\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-3.png\" alt=\"\" class=\"wp-image-12363\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-3.png 1358w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-3-300x169.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-3-1024x576.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-3-768x432.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-3-535x301.png 535w\" sizes=\"(max-width: 1358px) 100vw, 1358px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1354\" height=\"772\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-4.png\" alt=\"\" class=\"wp-image-12364\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-4.png 1354w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-4-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-4-1024x584.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-4-768x438.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/4-4-535x305.png 535w\" sizes=\"(max-width: 1354px) 100vw, 1354px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify\">In this case total there are <strong>91 striped magic squares of order 20<\/strong>. See more in pdf file given below:<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-align-center has-pale-ocean-gradient-background has-background\">Pdf file of Part 4: Centered With Striped Magic Squares of Order 4<\/h4>\n\n\n\n<p><\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file aligncenter\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-4.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of 20x20-4.\"><\/object><a id=\"wp-block-file--media-c98c9f17-beef-4fe1-b06e-46a47acf0ea5\" href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-4.pdf\">20&#215;20-4<\/a><a href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-4.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-c98c9f17-beef-4fe1-b06e-46a47acf0ea5\">Download<\/a><\/div>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 51%,rgb(255,105,0) 100%)\">Part 5: Centered With Striped Magic Square of Order 8<\/h3>\n\n\n\n<p class=\"has-text-align-justify\">This part brings some <strong>striped magic squares of order 20<\/strong> made in a such a way that there is a <strong>striped magic square of order 8<\/strong> at the centered. Below are few examples:<\/p>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1351\" height=\"773\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-1.png\" alt=\"\" class=\"wp-image-12365\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-1.png 1351w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-1-300x172.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-1-1024x586.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-1-768x439.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-1-535x306.png 535w\" sizes=\"(max-width: 1351px) 100vw, 1351px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1355\" height=\"766\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-2.png\" alt=\"\" class=\"wp-image-12366\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-2.png 1355w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-2-300x170.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-2-1024x579.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-2-768x434.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-2-535x302.png 535w\" sizes=\"(max-width: 1355px) 100vw, 1355px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1360\" height=\"765\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-3.png\" alt=\"\" class=\"wp-image-12367\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-3.png 1360w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-3-300x169.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-3-1024x576.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-3-768x432.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-3-535x301.png 535w\" sizes=\"(max-width: 1360px) 100vw, 1360px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1355\" height=\"769\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-4.png\" alt=\"\" class=\"wp-image-12368\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-4.png 1355w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-4-300x170.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-4-1024x581.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-4-768x436.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/5-4-535x304.png 535w\" sizes=\"(max-width: 1355px) 100vw, 1355px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify\">In this case total there are <strong>135 striped magic squares of order 20<\/strong>. See more in pdf file given below:<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-align-center has-pale-ocean-gradient-background has-background\">Pdf file of Part 5: Centered With Striped Magic Squares of Order 8<\/h4>\n\n\n\n<p><\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file aligncenter\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-5.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of 20x20-5.\"><\/object><a id=\"wp-block-file--media-edabb12a-ed82-4025-b947-67247bee70c5\" href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-5.pdf\">20&#215;20-5<\/a><a href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-5.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-edabb12a-ed82-4025-b947-67247bee70c5\">Download<\/a><\/div>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 51%,rgb(255,105,0) 100%)\">Part 6: Centered With Striped Magic Square of Order 12<\/h3>\n\n\n\n<p class=\"has-text-align-justify\">This part brings some <strong>striped magic squares of order 20<\/strong> made in a such a way that there is a <strong>striped magic square of order 12<\/strong> at the centered. Below are few examples:<\/p>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1348\" height=\"771\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-1.png\" alt=\"\" class=\"wp-image-12369\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-1.png 1348w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-1-300x172.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-1-1024x586.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-1-768x439.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-1-535x306.png 535w\" sizes=\"(max-width: 1348px) 100vw, 1348px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1350\" height=\"770\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-2.png\" alt=\"\" class=\"wp-image-12370\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-2.png 1350w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-2-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-2-1024x584.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-2-768x438.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-2-535x305.png 535w\" sizes=\"(max-width: 1350px) 100vw, 1350px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1357\" height=\"772\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-3.png\" alt=\"\" class=\"wp-image-12371\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-3.png 1357w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-3-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-3-1024x583.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-3-768x437.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-3-535x304.png 535w\" sizes=\"(max-width: 1357px) 100vw, 1357px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1354\" height=\"772\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-4.png\" alt=\"\" class=\"wp-image-12372\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-4.png 1354w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-4-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-4-1024x584.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-4-768x438.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/6-4-535x305.png 535w\" sizes=\"(max-width: 1354px) 100vw, 1354px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify\">In this case total there are <strong>288 striped magic squares of order 20<\/strong>. See more in pdf file given below:<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-align-center has-pale-ocean-gradient-background has-background\">Pdf file of Part 6: Centered With Striped Magic Squares of Order 12<\/h4>\n\n\n\n<p><\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file aligncenter\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-6.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of 20x20-6.\"><\/object><a id=\"wp-block-file--media-fd8ff10f-b6cd-4c98-80e4-581a10c73778\" href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-6.pdf\">20&#215;20-6<\/a><a href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-6.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-fd8ff10f-b6cd-4c98-80e4-581a10c73778\">Download<\/a><\/div>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 51%,rgb(255,105,0) 100%)\">Part 7: (a+b)<sup>2<\/sup>-Type Striped Magic Squares:<br>a=12, b=8, ab=12&#215;8 and ba=8&#215;12<\/h3>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify\">This part brings some <strong>striped magic squares of order 20<\/strong>. These are made by using the algebraic formula (a+b)<sup>2<\/sup>, where a=12, b=8, ab=12&#215;8 and ba=8&#215;12. In this case there are 72 magic squares of order 12, 9 magic squares of order 8. There are 8 different way are considered to write ab or ba. Considering the product 72x9x8 = 5184, there are 5184 different ways of writing stripled magic squares of order 20 by use of the algebraic formula (a+b)<sup>2<\/sup>. Below are few examples.<\/p>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1362\" height=\"831\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-1.png\" alt=\"\" class=\"wp-image-12373\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-1.png 1362w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-1-300x183.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-1-1024x625.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-1-768x469.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-1-535x326.png 535w\" sizes=\"(max-width: 1362px) 100vw, 1362px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1366\" height=\"835\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-2.png\" alt=\"\" class=\"wp-image-12374\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-2.png 1366w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-2-300x183.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-2-1024x626.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-2-768x469.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-2-535x327.png 535w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1361\" height=\"840\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-3.png\" alt=\"\" class=\"wp-image-12375\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-3.png 1361w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-3-300x185.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-3-1024x632.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-3-768x474.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-3-535x330.png 535w\" sizes=\"(max-width: 1361px) 100vw, 1361px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1366\" height=\"834\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-4.png\" alt=\"\" class=\"wp-image-12376\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-4.png 1366w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-4-300x183.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-4-1024x625.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-4-768x469.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/7-4-535x327.png 535w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify\">In this case total there are <strong>5184 striped magic squares of order 20<\/strong>. See more in pdf file given below:<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-align-center has-pale-ocean-gradient-background has-background\">Pdf file of Part 7: (a+b)<sup>2<\/sup>-Type Striped Magic Squares<\/h4>\n\n\n\n<p><\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file aligncenter\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-7.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of 20x20-7.\"><\/object><a id=\"wp-block-file--media-2e098c7d-dba0-463e-97e4-acc357980ff5\" href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-7.pdf\">20&#215;20-7<\/a><a href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-7.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-2e098c7d-dba0-463e-97e4-acc357980ff5\">Download<\/a><\/div>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 51%,rgb(255,105,0) 100%)\">Part 8: Centered With Striped Magic Square of Order 16<\/h3>\n\n\n\n<p class=\"has-text-align-justify\">This part brings some <strong>striped magic squares of order 20<\/strong> made in a such a way that there is a <strong>striped magic square of order 16<\/strong> at the centered. Below are few examples:<\/p>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1392\" height=\"832\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-1.png\" alt=\"\" class=\"wp-image-12377\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-1.png 1392w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-1-300x179.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-1-1024x612.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-1-768x459.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-1-535x320.png 535w\" sizes=\"(max-width: 1392px) 100vw, 1392px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1390\" height=\"837\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-2.png\" alt=\"\" class=\"wp-image-12378\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-2.png 1390w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-2-300x181.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-2-1024x617.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-2-768x462.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-2-535x322.png 535w\" sizes=\"(max-width: 1390px) 100vw, 1390px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1389\" height=\"832\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-3.png\" alt=\"\" class=\"wp-image-12379\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-3.png 1389w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-3-300x180.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-3-1024x613.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-3-768x460.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-3-535x320.png 535w\" sizes=\"(max-width: 1389px) 100vw, 1389px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1389\" height=\"832\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-4.png\" alt=\"\" class=\"wp-image-12380\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-4.png 1389w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-4-300x180.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-4-1024x613.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-4-768x460.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/8-4-535x320.png 535w\" sizes=\"(max-width: 1389px) 100vw, 1389px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify\">In this case total there are <strong>348 striped magic squares of order 20<\/strong>. See more in pdf file given below:<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-align-center has-pale-ocean-gradient-background has-background\">Pdf file of Part 8: Centered With Striped Magic Squares of Order 16<\/h4>\n\n\n\n<p><\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file aligncenter\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-8-1.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of 20x20-8.\"><\/object><a id=\"wp-block-file--media-ca29b170-b0fd-4aa8-a69b-4f6365659e9c\" href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-8-1.pdf\">20&#215;20-8<\/a><a href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-8-1.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-ca29b170-b0fd-4aa8-a69b-4f6365659e9c\">Download<\/a><\/div>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 51%,rgb(255,105,0) 100%)\">Part 9: (a+b)<sup>2<\/sup>-Type Striped Magic Squares:<br>a=16, b=4, ab=16&#215;4 and ba=4&#215;16<\/h3>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify\">This part brings some <strong>striped magic squares of order 20<\/strong>. These are made by using the algebraic formula (a+b)<sup>2<\/sup>, where a=16, b=4, ab=16&#215;4 and ba=4&#215;16. In this case there are 348 magic squares of order 16, 1 magic squares of order 4. There are 2 different way are considered to write ab or ba. Considering the product 348x1x2 = 696, there are 696 different ways of writing striped magic squares of order 20 by use of the algebraic formula (a+b)<sup>2<\/sup>. Below are few examples.<\/p>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1411\" height=\"834\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-1.png\" alt=\"\" class=\"wp-image-12381\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-1.png 1411w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-1-300x177.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-1-1024x605.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-1-768x454.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-1-535x316.png 535w\" sizes=\"(max-width: 1411px) 100vw, 1411px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1413\" height=\"831\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-2.png\" alt=\"\" class=\"wp-image-12382\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-2.png 1413w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-2-300x176.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-2-1024x602.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-2-768x452.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-2-535x315.png 535w\" sizes=\"(max-width: 1413px) 100vw, 1413px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1409\" height=\"837\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-3.png\" alt=\"\" class=\"wp-image-12383\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-3.png 1409w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-3-300x178.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-3-1024x608.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-3-768x456.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-3-535x318.png 535w\" sizes=\"(max-width: 1409px) 100vw, 1409px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1407\" height=\"835\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-4.png\" alt=\"\" class=\"wp-image-12384\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-4.png 1407w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-4-300x178.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-4-1024x608.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-4-768x456.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/9-4-535x318.png 535w\" sizes=\"(max-width: 1407px) 100vw, 1407px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify\">In this case total there are <strong>696 striped magic squares of order 20<\/strong>. There are <strong>677 semi-magic squares<\/strong>. By simple calculations we can change them to <strong>magic squares<\/strong>. It shall be done late on. See more in pdf file given below:<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-align-center has-pale-ocean-gradient-background has-background\">Pdf file of Part 9: (a+b)<sup>2<\/sup>-Type Striped Magic Squares<\/h4>\n\n\n\n<p><\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file aligncenter\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-9-1.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of 20x20-9.\"><\/object><a id=\"wp-block-file--media-a2b0d71d-e9d2-4d65-8b26-51be86841b68\" href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-9-1.pdf\">20&#215;20-9<\/a><a href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/08\/20x20-9-1.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-a2b0d71d-e9d2-4d65-8b26-51be86841b68\">Download<\/a><\/div>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 51%,rgb(255,105,0) 100%)\">References<\/h3>\n\n\n\n<ol class=\"wp-block-list has-blush-light-purple-gradient-background has-background\">\n<li><strong>Inder J. Taneja<\/strong>, Striped Magic Squares of Even Orders 6, 8, 10, 12 and 14, <strong>Zenodo<\/strong>, November 10, 2023, pp. 1-34, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.10107355\">https:\/\/doi.org\/10.5281\/zenodo.10107355<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Striped Magic Squares of 12 &#8211; Revised, <strong>Zenodo<\/strong>, September 07, 2024, pp. 1-30, <a href=\"https:\/\/zenodo.org\/records\/13725031\">https:\/\/zenodo.org\/records\/13725031<\/a>. \n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=12447\">Striped Magic Squares of Order 12 \u2013 Revised<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, 5600+ Striped Magic Squares of Order 16,&nbsp;<strong>Zenodo<\/strong>, February 05, 2025, pp. 1-52,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.14807639\">https:\/\/doi.org\/10.5281\/zenodo.14807639<\/a>\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=11781\">5600+ Striped Magic Squares of Order 16 (new site)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Striped Magic Squares of 18, <strong>Zenodo<\/strong>, June 13, 2024, pp. 1-34, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.11629567\">https:\/\/doi.org\/10.5281\/zenodo.11629567<\/a>. \n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=11911\">Striped Magic Squares of Order 18<\/a>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, 8000+ Striped Magic Squares of 20, <strong>Zenodo<\/strong>, March 15, 2025, pp. 1-37, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.15032524\">https:\/\/doi.org\/10.5281\/zenodo.15032524<\/a>\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=12326\">Striped Magic Squares of Order 20<\/a>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Striped and Semi-Striped Double Digits Bordered Magic Squares: Orders 7 to 50, <strong>Zenodo<\/strong>, March 13, 2025, pp. 1-30, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.15021581\">https:\/\/doi.org\/10.5281\/zenodo.15021581<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=15002\">Striped and Semi-Striped Double Digits Bordered Magic Squares: Orders 7 to 50 (new site)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Striped and Semi-Striped Cornered Magic Squares of Orders 6 to 50, \n<ul class=\"wp-block-list\">\n<li>Site Link:  <a href=\"https:\/\/numbers-magic.com\/?p=15048\">Striped and Semi-Striped Cornered Magic Squares of Orders 6 to 50 (new site) <\/a><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>This work brings striped magic squares of order 20. Before we proceed further below examples of 9 stripes used in whole the work. Striped Magic Rectangles Below are examples of magic rectangles used in this work. These are orders 2&#215;4 to 2&#215;20 used in this work. Since all these are of equal width, we call [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":12364,"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-12326","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\/2024\/08\/4-4.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/12326","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=12326"}],"version-history":[{"count":9,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/12326\/revisions"}],"predecessor-version":[{"id":15077,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/12326\/revisions\/15077"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/12364"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12326"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=12326"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=12326"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}