{"id":9444,"date":"2023-06-19T19:28:13","date_gmt":"2023-06-19T22:28:13","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=9444"},"modified":"2023-08-06T12:43:06","modified_gmt":"2023-08-06T15:43:06","slug":"magic-squares-of-order-27","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=9444","title":{"rendered":"Magic Squares of Order 27"},"content":{"rendered":"\n<p class=\"has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background\">Recently, author worked with cornered Magic Squares based on two-by-two divisions. These works can be accessed at the following links:<br>1. Inder Jeet Taneja, <a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=9010\" target=\"_blank\">Cornered Magic Squares of Orders 5 to 10<\/a><br>2. Inder Jeet Taneja, <a href=\"https:\/\/numbers-magic.com\/?p=9073\">Cornered Magic Squares of Orders 11 to 13<\/a><br>3. Inder Jeet Taneja, <a href=\"https:\/\/numbers-magic.com\/?p=9138\">Cornered Magic Squares of Orders 14 to 24<\/a><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background\">Also, the author worked on <strong>even order<\/strong> <strong>double digits bordered magic squares<\/strong>. This works starts from order 8 and goes up to order 40. See below the links:<br><br>The work for order of type 4k, k=1, 2, 3, &#8230; i.e., for orders 8, 12, 16, 20, 24, 28, 32, 36 and 40:<br>1. <a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=8493\" target=\"_blank\">Two Digits Bordered Magic Squares Multiples of 4: Orders 8 to 24<\/a>.<br>2. <a href=\"https:\/\/numbers-magic.com\/?p=8551\">Two Digits Bordered Magic Squares of Orders 28 and 32<\/a>.<br>3. <a href=\"https:\/\/numbers-magic.com\/?p=8669\">Two digits Bordered Magic Squares of Order 36.<\/a><br>4. <a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=8687\" target=\"_blank\">Two digits Bordered Magic Squares of Order 40<\/a>.<br><br>The work is for the order of type 4k+2, k=1, 2, 3, &#8230;, i.e., for the orders 10, 14, 18, 22, 26, 30, 34 and 38:<br>1. <a href=\"https:\/\/numbers-magic.com\/?p=8583\" target=\"_blank\" rel=\"noreferrer noopener\">Two digits Bordered Magic Squares of Orders 10, 14, 18 and 22<\/a>.<br>2. <a href=\"https:\/\/numbers-magic.com\/?p=8629\">Two digits Bordered Magic Squares of Orders 26 and 30<\/a>.<br>3. <a href=\"https:\/\/numbers-magic.com\/?p=8838\">Two digits Bordered Magic Squares of Order 34<\/a>.<br>4. <a href=\"https:\/\/numbers-magic.com\/?p=8856\">Two digits Bordered Magic Squares of Order 38<\/a><a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=8856\" target=\"_blank\">. <\/a><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background\">This work is for magic square of order 27. It includes four type of magic squares:<br><strong>1. Traditional centered magic squares.<br>2. Magic Squares with blocks of order 9<br>3. Bordered with magic squares of order 9.<br>4. Bordered with magic squares of order 3.<br>5. Double digits bordered magic squares.<\/strong><br><strong>5.1 Embedded Lower Order Magic Squares.<\/strong><br><strong>5.2. Embedded Cornered Magic Squares.<\/strong> <br><br>Double digits magic squares can also be constructed using software, the reader can follow H. White&#8217;s site: <a href=\"https:\/\/budshaw.ca\/MagicSquares.html\">Magic Squares<\/a>.   This work can also be accessed online at:<br><br>Inder J. Taneja, Magic Squares of Order 27, Zenodo, August 06, 2023, pp. 1-32,\u00a0<a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.5281\/zenodo.8218291\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.8218291<\/a>.<br><br>For the previous work on odd orders from 3 to 25 see the following links:<br><\/p>\n\n\n\n<ul class=\"has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background wp-block-list\">\n<li>Inder J. Taneja, Odd Order Magic Squares: Orders 3 to 15, Zenodo, June 15, 2023, pp. 1-43, <a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.5281\/zenodo.8043030\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.8043030<\/a>.<br>Site Link:\u00a0<a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=9215\" target=\"_blank\">Odd Order Magic Squares: Orders 3 to 15<\/a><\/li>\n\n\n\n<li>Inder J. Taneja, Magic Squares of Orders 17 and 19, Zenodo, June 15, 2023, pp. 1-38, <a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.5281\/zenodo.8043105\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.8043105<\/a>.<br>Site Link:\u00a0<a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=9274\" target=\"_blank\">Magic Squares of Orders 17 and 19<\/a><\/li>\n\n\n\n<li>Inder J. Taneja, Magic Squares of Orders 21 and 23, Zenodo, June 15, 2023, pp. 1-43, <a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.5281\/zenodo.8043198\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.8043198<\/a>.<br>Site Links:\u00a0<a href=\"https:\/\/numbers-magic.com\/?p=9326\">Magic Squares of Order 21<\/a>.<\/li>\n\n\n\n<li>Inder J. Taneja, Magic Squares of Orders 21 and 23, Zenodo, June 15, 2023, pp. 1-43, <a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.5281\/zenodo.8043198\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.8043198<\/a>.<br>Site Links:\u00a0<a href=\"https:\/\/numbers-magic.com\/?p=9349\">Magic Squares of Order 23<\/a>. <\/li>\n\n\n\n<li>Inder J. Taneja, Magic Squares of Order 25, Zenodo, June 15, 2023, pp. 1-27, <a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.5281\/zenodo.8043228\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.8043228<\/a>.<br>Site Links:\u00a0<a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=9373\" target=\"_blank\">Magic Squares of Order 25<\/a>.<br><\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background\">To have better idea, <strong>pdf file<\/strong> of total 638 magic squares of order 27 is attached for download.<\/p>\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(2,3,129) 0%,rgb(255,255,255) 45%,rgb(40,116,252) 100%)\">Magic Squares of Order 27<\/h3>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background\">As explained above, the construction of magic squares of order 27 are of four types. Below are examples of each case. In case of second type there are two possibilities. One centered border of order 3. Second, cornered border of order 3. <\/p>\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(209,187,187) 0%,rgb(255,255,255) 48%,rgb(208,58,58) 87%,rgb(169,184,195) 100%)\">1. Traditional Centered Magic Squares<\/h3>\n\n\n\n<p class=\"has-text-align-justify\"><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1482\" height=\"871\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-1.png\" alt=\"\" class=\"wp-image-9446\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-1.png 1482w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-1-300x176.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-1-1024x602.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-1-768x451.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-1-535x314.png 535w\" sizes=\"(max-width: 1482px) 100vw, 1482px\" \/><\/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=\"1479\" height=\"871\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-2.png\" alt=\"\" class=\"wp-image-9447\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-2.png 1479w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-2-300x177.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-2-1024x603.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-2-768x452.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-2-535x315.png 535w\" sizes=\"(max-width: 1479px) 100vw, 1479px\" \/><\/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=\"1527\" height=\"877\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-3.png\" alt=\"\" class=\"wp-image-9448\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-3.png 1527w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-3-300x172.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-3-1024x588.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-3-768x441.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-3-535x307.png 535w\" sizes=\"(max-width: 1527px) 100vw, 1527px\" \/><\/figure>\n<\/div>\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(209,187,187) 0%,rgb(255,255,255) 48%,rgb(208,58,58) 87%,rgb(169,184,195) 100%)\">2. Magic Squares with Blocks of Order 9<\/h3>\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=\"1525\" height=\"874\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-4.png\" alt=\"\" class=\"wp-image-9449\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-4.png 1525w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-4-300x172.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-4-1024x587.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-4-768x440.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-4-535x307.png 535w\" sizes=\"(max-width: 1525px) 100vw, 1525px\" \/><\/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=\"1527\" height=\"875\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-5.png\" alt=\"\" class=\"wp-image-9450\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-5.png 1527w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-5-300x172.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-5-1024x587.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-5-768x440.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-5-535x307.png 535w\" sizes=\"(max-width: 1527px) 100vw, 1527px\" \/><\/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=\"1522\" height=\"873\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-6.png\" alt=\"\" class=\"wp-image-9451\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-6.png 1522w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-6-300x172.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-6-1024x587.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-6-768x441.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-6-535x307.png 535w\" sizes=\"(max-width: 1522px) 100vw, 1522px\" \/><\/figure>\n<\/div>\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(209,187,187) 0%,rgb(255,255,255) 48%,rgb(208,58,58) 87%,rgb(169,184,195) 100%)\">3. Bordered with Magic Squares of Order 9 <\/h3>\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=\"1530\" height=\"873\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-7.png\" alt=\"\" class=\"wp-image-9452\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-7.png 1530w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-7-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-7-1024x584.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-7-768x438.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-7-535x305.png 535w\" sizes=\"(max-width: 1530px) 100vw, 1530px\" \/><\/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=\"1529\" height=\"873\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-25.png\" alt=\"\" class=\"wp-image-9453\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-25.png 1529w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-25-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-25-1024x585.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-25-768x438.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-25-535x305.png 535w\" sizes=\"(max-width: 1529px) 100vw, 1529px\" \/><\/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=\"1528\" height=\"873\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-38.png\" alt=\"\" class=\"wp-image-9464\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-38.png 1528w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-38-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-38-1024x585.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-38-768x439.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-38-535x306.png 535w\" sizes=\"(max-width: 1528px) 100vw, 1528px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\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(209,187,187) 0%,rgb(255,255,255) 48%,rgb(208,58,58) 87%,rgb(169,184,195) 100%)\">3. <strong>Bordered magic squares with magic squares of order 3<\/strong> <\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1527\" height=\"869\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-53.png\" alt=\"\" class=\"wp-image-9454\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-53.png 1527w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-53-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-53-1024x583.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-53-768x437.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-53-535x304.png 535w\" sizes=\"(max-width: 1527px) 100vw, 1527px\" \/><\/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=\"1527\" height=\"869\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-61.png\" alt=\"\" class=\"wp-image-9455\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-61.png 1527w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-61-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-61-1024x583.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-61-768x437.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-61-535x304.png 535w\" sizes=\"(max-width: 1527px) 100vw, 1527px\" \/><\/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=\"1533\" height=\"872\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-65.png\" alt=\"\" class=\"wp-image-9456\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-65.png 1533w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-65-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-65-1024x582.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-65-768x437.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-65-535x304.png 535w\" sizes=\"(max-width: 1533px) 100vw, 1533px\" \/><\/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=\"1528\" height=\"873\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-98.png\" alt=\"\" class=\"wp-image-9457\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-98.png 1528w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-98-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-98-1024x585.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-98-768x439.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-98-535x306.png 535w\" sizes=\"(max-width: 1528px) 100vw, 1528px\" \/><\/figure>\n<\/div>\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(209,187,187) 0%,rgb(255,255,255) 48%,rgb(208,58,58) 87%,rgb(169,184,195) 100%)\">5. Double Digits Magic Squares:<br><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">5.1 Embedded with Lower Order Magic Squares <\/mark><\/h3>\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=\"1526\" height=\"873\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-279.png\" alt=\"\" class=\"wp-image-9458\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-279.png 1526w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-279-300x172.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-279-1024x586.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-279-768x439.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-279-535x306.png 535w\" sizes=\"(max-width: 1526px) 100vw, 1526px\" \/><\/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=\"1526\" height=\"873\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-279-1.png\" alt=\"\" class=\"wp-image-9459\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-279-1.png 1526w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-279-1-300x172.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-279-1-1024x586.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-279-1-768x439.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-279-1-535x306.png 535w\" sizes=\"(max-width: 1526px) 100vw, 1526px\" \/><\/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=\"1527\" height=\"872\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-351.png\" alt=\"\" class=\"wp-image-9460\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-351.png 1527w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-351-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-351-1024x585.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-351-768x439.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-351-535x306.png 535w\" sizes=\"(max-width: 1527px) 100vw, 1527px\" \/><\/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=\"1526\" height=\"875\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-358.png\" alt=\"\" class=\"wp-image-9461\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-358.png 1526w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-358-300x172.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-358-1024x587.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-358-768x440.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-358-535x307.png 535w\" sizes=\"(max-width: 1526px) 100vw, 1526px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\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(209,187,187) 0%,rgb(255,255,255) 48%,rgb(208,58,58) 87%,rgb(169,184,195) 100%)\">5. Double Digits Magic Squares <br><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">5.2. Embedded Cornered Magic Squares with Lower Orders <\/mark><\/h3>\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=\"1528\" height=\"870\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-376.png\" alt=\"\" class=\"wp-image-9462\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-376.png 1528w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-376-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-376-1024x583.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-376-768x437.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-376-535x305.png 535w\" sizes=\"(max-width: 1528px) 100vw, 1528px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"584\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-520-1024x584.png\" alt=\"\" class=\"wp-image-9465\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-520-1024x584.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-520-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-520-768x438.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-520-535x305.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-520.png 1528w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\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=\"1527\" height=\"869\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-630-1.png\" alt=\"\" class=\"wp-image-9466\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-630-1.png 1527w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-630-1-300x171.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-630-1-1024x583.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-630-1-768x437.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27-630-1-535x304.png 535w\" sizes=\"(max-width: 1527px) 100vw, 1527px\" \/><\/figure>\n<\/div>\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(255,206,236) 0%,rgb(139,230,101) 67%,rgb(152,150,240) 100%)\">Pdf file of Magic Squares of Order 27<\/h3>\n\n\n\n<p><\/p>\n\n\n\n<p>There are total 638 magic squares of order 27. These are embedded as <strong>pdf file.<\/strong><\/p>\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\/2023\/06\/27x27.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of 27x27.\"><\/object><a id=\"wp-block-file--media-82d74a60-952c-4396-9756-1df6b966d636\" href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27.pdf\">27&#215;27<\/a><a href=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/27x27.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-82d74a60-952c-4396-9756-1df6b966d636\">Download<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Recently, author worked with cornered Magic Squares based on two-by-two divisions. These works can be accessed at the following links:1. Inder Jeet Taneja, Cornered Magic Squares of Orders 5 to 102. Inder Jeet Taneja, Cornered Magic Squares of Orders 11 to 133. Inder Jeet Taneja, Cornered Magic Squares of Orders 14 to 24 Also, the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":9458,"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-9444","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\/2023\/06\/27x27-279.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/9444","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=9444"}],"version-history":[{"count":3,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/9444\/revisions"}],"predecessor-version":[{"id":9983,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/9444\/revisions\/9983"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/9458"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9444"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9444"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9444"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}