{"id":9073,"date":"2023-06-01T13:12:50","date_gmt":"2023-06-01T16:12:50","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=9073"},"modified":"2023-06-02T22:53:37","modified_gmt":"2023-06-03T01:53:37","slug":"cornered-magic-squares-of-orders-11-to-13","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=9073","title":{"rendered":"Cornered Magic Squares of Orders 11 to 13"},"content":{"rendered":"\n<p class=\"has-text-align-justify has-pale-ocean-gradient-background has-background\">Below are just examples of cornered magic squares of orders 11 to 13. These are in all the four corners of each magic square. This work was possible with the help of Harry White (<a href=\"https:\/\/budshaw.ca\/MagicSquares.html\">Magic Squares &#8211; budshaw.ca<\/a>). <\/p>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-pale-ocean-gradient-background has-background\">This work can be accessed at the following link:<br>Inder Jeet Taneja, Cornered Magic Squares of Orders 5 to 13, <strong>Zenodo<\/strong>, June 03, 2023, pp. 1-71, <a rel=\"noreferrer noopener\" href=\"https:\/\/10.5281\/zenodo.8000467\" target=\"_blank\">https:\/\/10.5281\/zenodo.8000467<\/a>.<br>The previous orders can be accessed at the following link:<br>Inder Jeet Taneja, <a href=\"https:\/\/numbers-magic.com\/?p=9010\">Cornered Magic Squares of Orders 5 to 10<\/a><\/p>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-luminous-vivid-amber-to-luminous-vivid-orange-gradient-background has-background\">Cornered Magic Squares of Order 11<\/h3>\n\n\n\n<p>Below are examples of cornered magic squares of order 11 cornered in four directions with different type of magic squares.<\/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=\"1068\" height=\"784\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-1.png\" alt=\"\" class=\"wp-image-9074\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-1.png 1068w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-1-300x220.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-1-1024x752.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-1-768x564.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-1-535x393.png 535w\" sizes=\"(max-width: 1068px) 100vw, 1068px\" \/><\/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=\"1065\" height=\"775\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-2.png\" alt=\"\" class=\"wp-image-9076\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-2.png 1065w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-2-300x218.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-2-1024x745.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-2-768x559.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-2-535x389.png 535w\" sizes=\"(max-width: 1065px) 100vw, 1065px\" \/><\/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=\"1060\" height=\"778\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-3.png\" alt=\"\" class=\"wp-image-9077\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-3.png 1060w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-3-300x220.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-3-1024x752.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-3-768x564.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-3-535x393.png 535w\" sizes=\"(max-width: 1060px) 100vw, 1060px\" \/><\/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=\"1064\" height=\"776\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-4.png\" alt=\"\" class=\"wp-image-9078\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-4.png 1064w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-4-300x219.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-4-1024x747.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-4-768x560.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-4-535x390.png 535w\" sizes=\"(max-width: 1064px) 100vw, 1064px\" \/><\/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=\"1068\" height=\"779\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-5.png\" alt=\"\" class=\"wp-image-9079\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-5.png 1068w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-5-300x219.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-5-1024x747.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-5-768x560.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-5-535x390.png 535w\" sizes=\"(max-width: 1068px) 100vw, 1068px\" \/><\/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=\"1058\" height=\"773\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-6.png\" alt=\"\" class=\"wp-image-9080\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-6.png 1058w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-6-300x219.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-6-1024x748.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-6-768x561.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-6-535x391.png 535w\" sizes=\"(max-width: 1058px) 100vw, 1058px\" \/><\/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=\"1060\" height=\"781\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-7.png\" alt=\"\" class=\"wp-image-9081\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-7.png 1060w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-7-300x221.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-7-1024x754.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-7-768x566.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/11x11-7-535x394.png 535w\" sizes=\"(max-width: 1060px) 100vw, 1060px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify has-pale-ocean-gradient-background has-background\">Above there are seven examples of cornered magic squares of order 11. First example is embedded with cornered magic squares of orders 3, 5, 7 and 9. We may call it as <strong>chained<\/strong> or <strong>nested magic<\/strong> squares. The next four examples are with magic squares of orders 5 and 7. One of them is <strong>pandiagonal<\/strong> and another as <strong>bordered<\/strong> magic squares of orders 5 and 7.  The last two examples are with two different types of magic squares of order 9. One of them is <strong>bordered <\/strong>and another as formed by <strong>semi-magic equal sums<\/strong> magic squares of order 3.  <\/p>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-luminous-vivid-amber-to-luminous-vivid-orange-gradient-background has-background\">Cornered Magic Square of Order 12<\/h3>\n\n\n\n<p>Below are examples of cornered magic squares of order 12 cornered in four directions with different type of magic squares.<\/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=\"1191\" height=\"836\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-1.png\" alt=\"\" class=\"wp-image-9085\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-1.png 1191w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-1-300x211.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-1-1024x719.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-1-768x539.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-1-535x376.png 535w\" sizes=\"(max-width: 1191px) 100vw, 1191px\" \/><\/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=\"1190\" height=\"837\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-2.png\" alt=\"\" class=\"wp-image-9086\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-2.png 1190w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-2-300x211.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-2-1024x720.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-2-768x540.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-2-535x376.png 535w\" sizes=\"(max-width: 1190px) 100vw, 1190px\" \/><\/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=\"1194\" height=\"841\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-3-1.png\" alt=\"\" class=\"wp-image-9119\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-3-1.png 1194w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-3-1-300x211.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-3-1-1024x721.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-3-1-768x541.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-3-1-535x377.png 535w\" sizes=\"(max-width: 1194px) 100vw, 1194px\" \/><\/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=\"1194\" height=\"830\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-4.png\" alt=\"\" class=\"wp-image-9089\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-4.png 1194w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-4-300x209.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-4-1024x712.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-4-768x534.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-4-535x372.png 535w\" sizes=\"(max-width: 1194px) 100vw, 1194px\" \/><\/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=\"1118\" height=\"805\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/10x10-5-1.png\" alt=\"\" class=\"wp-image-9088\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/10x10-5-1.png 1118w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/10x10-5-1-300x216.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/10x10-5-1-1024x737.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/10x10-5-1-768x553.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/10x10-5-1-535x385.png 535w\" sizes=\"(max-width: 1118px) 100vw, 1118px\" \/><\/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=\"1192\" height=\"830\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-6-1.png\" alt=\"\" class=\"wp-image-9123\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-6-1.png 1192w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-6-1-300x209.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-6-1-1024x713.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-6-1-768x535.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-6-1-535x373.png 535w\" sizes=\"(max-width: 1192px) 100vw, 1192px\" \/><\/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=\"1196\" height=\"838\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-7.png\" alt=\"\" class=\"wp-image-9091\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-7.png 1196w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-7-300x210.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-7-1024x717.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-7-768x538.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-7-535x375.png 535w\" sizes=\"(max-width: 1196px) 100vw, 1196px\" \/><\/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=\"1191\" height=\"836\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-8.png\" alt=\"\" class=\"wp-image-9092\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-8.png 1191w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-8-300x211.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-8-1024x719.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-8-768x539.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-8-535x376.png 535w\" sizes=\"(max-width: 1191px) 100vw, 1191px\" \/><\/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=\"1191\" height=\"836\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-8-1.png\" alt=\"\" class=\"wp-image-9120\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-8-1.png 1191w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-8-1-300x211.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-8-1-1024x719.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-8-1-768x539.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-8-1-535x376.png 535w\" sizes=\"(max-width: 1191px) 100vw, 1191px\" \/><\/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=\"1174\" height=\"838\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-9.png\" alt=\"\" class=\"wp-image-9093\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-9.png 1174w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-9-300x214.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-9-1024x731.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-9-768x548.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-9-535x382.png 535w\" sizes=\"(max-width: 1174px) 100vw, 1174px\" \/><\/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=\"1173\" height=\"834\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-10.png\" alt=\"\" class=\"wp-image-9107\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-10.png 1173w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-10-300x213.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-10-1024x728.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-10-768x546.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-10-535x380.png 535w\" sizes=\"(max-width: 1173px) 100vw, 1173px\" \/><\/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=\"1174\" height=\"835\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-11.png\" alt=\"\" class=\"wp-image-9108\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-11.png 1174w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-11-300x213.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-11-1024x728.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-11-768x546.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-11-535x381.png 535w\" sizes=\"(max-width: 1174px) 100vw, 1174px\" \/><\/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=\"1175\" height=\"833\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-12.png\" alt=\"\" class=\"wp-image-9109\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-12.png 1175w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-12-300x213.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-12-1024x726.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-12-768x544.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-12-535x379.png 535w\" sizes=\"(max-width: 1175px) 100vw, 1175px\" \/><\/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=\"1176\" height=\"838\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-13.png\" alt=\"\" class=\"wp-image-9110\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-13.png 1176w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-13-300x214.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-13-1024x730.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-13-768x547.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-13-535x381.png 535w\" sizes=\"(max-width: 1176px) 100vw, 1176px\" \/><\/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=\"1169\" height=\"830\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-14.png\" alt=\"\" class=\"wp-image-9111\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-14.png 1169w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-14-300x213.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-14-1024x727.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-14-768x545.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-14-535x380.png 535w\" sizes=\"(max-width: 1169px) 100vw, 1169px\" \/><\/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=\"1169\" height=\"832\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-15.png\" alt=\"\" class=\"wp-image-9112\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-15.png 1169w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-15-300x214.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-15-1024x729.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-15-768x547.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-15-535x381.png 535w\" sizes=\"(max-width: 1169px) 100vw, 1169px\" \/><\/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=\"1170\" height=\"832\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-16-1.png\" alt=\"\" class=\"wp-image-9121\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-16-1.png 1170w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-16-1-300x213.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-16-1-1024x728.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-16-1-768x546.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-16-1-535x380.png 535w\" sizes=\"(max-width: 1170px) 100vw, 1170px\" \/><\/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=\"1171\" height=\"836\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-17-1.png\" alt=\"\" class=\"wp-image-9114\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-17-1.png 1171w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-17-1-300x214.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-17-1-1024x731.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-17-1-768x548.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-17-1-535x382.png 535w\" sizes=\"(max-width: 1171px) 100vw, 1171px\" \/><\/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=\"1172\" height=\"830\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-18.png\" alt=\"\" class=\"wp-image-9115\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-18.png 1172w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-18-300x212.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-18-1024x725.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-18-768x544.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-18-535x379.png 535w\" sizes=\"(max-width: 1172px) 100vw, 1172px\" \/><\/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=\"1172\" height=\"836\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-19.png\" alt=\"\" class=\"wp-image-9116\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-19.png 1172w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-19-300x214.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-19-1024x730.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-19-768x548.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-19-535x382.png 535w\" sizes=\"(max-width: 1172px) 100vw, 1172px\" \/><\/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=\"1171\" height=\"837\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-20.png\" alt=\"\" class=\"wp-image-9117\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-20.png 1171w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-20-300x214.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-20-1024x732.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-20-768x549.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/12x12-20-535x382.png 535w\" sizes=\"(max-width: 1171px) 100vw, 1171px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify\">Above there are twenty examples of cornered magic squares of order 12. First example is embedded with cornered magic squares of orders, 4, 6 and 10. We may call it as&nbsp;<strong>chained<\/strong>&nbsp;or&nbsp;<strong>nested magic<\/strong>&nbsp;squares. The other examples are based on magic squares of orders 6, 8 and 10 in different ways.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-luminous-vivid-amber-to-luminous-vivid-orange-gradient-background has-background\">Cornered Magic Squares of Order 13<\/h3>\n\n\n\n<p class=\"has-text-align-justify\">Below are cornered magic squares of orders 13. There are total 9 examples. These in all the four directions.<\/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=\"1520\" height=\"889\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-1.png\" alt=\"\" class=\"wp-image-9125\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-1.png 1520w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-1-300x175.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-1-1024x599.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-1-768x449.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-1-535x313.png 535w\" sizes=\"(max-width: 1520px) 100vw, 1520px\" \/><\/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=\"1518\" height=\"886\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-2.png\" alt=\"\" class=\"wp-image-9126\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-2.png 1518w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-2-300x175.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-2-1024x598.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-2-768x448.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-2-535x312.png 535w\" sizes=\"(max-width: 1518px) 100vw, 1518px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1518\" height=\"884\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-3.png\" alt=\"\" class=\"wp-image-9127\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-3.png 1518w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-3-300x175.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-3-1024x596.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-3-768x447.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-3-535x312.png 535w\" sizes=\"(max-width: 1518px) 100vw, 1518px\" \/><\/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=\"1516\" height=\"886\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-4.png\" alt=\"\" class=\"wp-image-9128\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-4.png 1516w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-4-300x175.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-4-1024x598.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-4-768x449.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-4-535x313.png 535w\" sizes=\"(max-width: 1516px) 100vw, 1516px\" \/><\/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=\"1517\" height=\"884\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-5.png\" alt=\"\" class=\"wp-image-9129\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-5.png 1517w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-5-300x175.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-5-1024x597.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-5-768x448.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-5-535x312.png 535w\" sizes=\"(max-width: 1517px) 100vw, 1517px\" \/><\/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=\"1512\" height=\"886\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-6.png\" alt=\"\" class=\"wp-image-9130\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-6.png 1512w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-6-300x176.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-6-1024x600.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-6-768x450.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-6-535x313.png 535w\" sizes=\"(max-width: 1512px) 100vw, 1512px\" \/><\/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=\"891\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-7.png\" alt=\"\" class=\"wp-image-9133\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-7.png 1522w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-7-300x176.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-7-1024x599.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-7-768x450.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-7-535x313.png 535w\" sizes=\"(max-width: 1522px) 100vw, 1522px\" \/><\/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=\"1518\" height=\"885\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-8.png\" alt=\"\" class=\"wp-image-9131\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-8.png 1518w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-8-300x175.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-8-1024x597.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-8-768x448.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-8-535x312.png 535w\" sizes=\"(max-width: 1518px) 100vw, 1518px\" \/><\/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=\"1515\" height=\"885\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-9-1.png\" alt=\"\" class=\"wp-image-9140\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-9-1.png 1515w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-9-1-300x175.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-9-1-1024x598.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-9-1-768x449.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/13x13-9-1-535x313.png 535w\" sizes=\"(max-width: 1515px) 100vw, 1515px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify has-pale-ocean-gradient-background has-background\">Above there are nine examples of cornered magic squares of order 12. First example is embedded with cornered magic squares of orders 3, 5, 7, 9 and 11. We may call it as <strong>chained<\/strong> or <strong>nested magic<\/strong> squares. The next four examples are with magic squares of orders 5 and 7. One of them is <strong>pandiagonal<\/strong> and another as <strong>bordered<\/strong> magic squares of orders 5 and 7. Further two examples with magic squares of order 9. One of them is<strong> bordered<\/strong> and another as equal sums block of <strong>semi-magic<\/strong> squares of order 3. The last two examples are with two different types of magic squares of order 11. One of them is <strong>bordered <\/strong>and another as formed by <strong>semi-magic equal sums<\/strong> magic squares of order 3.  <\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>For further corned magic squares click the link below.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Below are just examples of cornered magic squares of orders 11 to 13. These are in all the four corners of each magic square. This work was possible with the help of Harry White (Magic Squares &#8211; budshaw.ca). This work can be accessed at the following link:Inder Jeet Taneja, Cornered Magic Squares of Orders 5 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":9113,"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-9073","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\/12x12-16.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/9073","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=9073"}],"version-history":[{"count":8,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/9073\/revisions"}],"predecessor-version":[{"id":9173,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/9073\/revisions\/9173"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/9113"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9073"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9073"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9073"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}