{"id":18719,"date":"2026-05-08T23:08:07","date_gmt":"2026-05-09T02:08:07","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=18719"},"modified":"2026-05-09T23:59:58","modified_gmt":"2026-05-10T02:59:58","slug":"beauty-of-magic-squares-3888-multiple-order-bordered-magic-squares-of-order-144-part-3","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=18719","title":{"rendered":"Beauty of Magic Squares: 3888 Multiple Order Bordered Magic Squares of Order 144 &#8211; Part 3"},"content":{"rendered":"\n<p class=\"has-text-align-justify has-blush-light-purple-gradient-background has-background\">During past years author worked with&nbsp;<strong>block-wise<\/strong> <strong>bordered<\/strong>&nbsp;magic squares multiples of even and odd number blocks. This means, multiples of 3, 4, 5, 6, etc. These works can be accessed at the following links.<\/p>\n\n\n\n<ol class=\"wp-block-list has-blush-light-purple-gradient-background has-background\">\n<li><a href=\"https:\/\/numbers-magic.com\/?p=8707\">Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 3<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=648\" target=\"_blank\" rel=\"noreferrer noopener\">Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 4<\/a>.<\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=8738\">Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 5<\/a>.<\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=316\">Block-Wise Bordered Magic Squares Multiples of Magic and Bordered Magic Squares of Order 6<\/a>.<\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=8766\">Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 7<\/a>.<\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=687\">Block-Wise Bordered Magic Squares Multiples of 8<\/a>.<\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=8972\">Block-Wise Bordered Magic Squares Multiples of 9<\/a>.<\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=706\">Block-Wise Bordered Magic Squares Multiples of 10<\/a>.<\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=8989\">Block-Wise Bordered Magic Squares Multiples of 11<\/a>.<\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=747\">Block-Wise Bordered Magic Squares Multiples of 12<\/a>.<\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=9745\">Block-Wise Bordered Magic Squares Multiples of 13.<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=812\">Block-Wise Bordered Magic Squares Multiples of 14<\/a>.<\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=9768\">Block-Wise Bordered Magic Squares Multiples of 15.<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=9634\">Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 16.<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=9789\">Bordered Magic Squares Multiples of 17.<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=9655\">Block-Wise Bordered Magic Squares Multiples of 18.<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=9812\">Bordered Magic Squares Multiples of 19.<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/numbers-magic.com\/?p=9675\">Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 20.<\/a><\/li>\n<\/ol>\n\n\n\n<p class=\"has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background\">This work bring magic squares, based on multiple order magic squares in the same magic squares. This means same magic square contains borders of order 3, 4, 5, etc. It can be accessed at the following link:<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-blush-light-purple-gradient-background has-background\">This work brings <strong>brodered magic squares<\/strong> in such a way that in the beginning there is magic square of order 12 with different sums magic squares of order 3. The further borders are magic squares of orders 4, 5, 6, 7, 8, 9 and 15 resulting in multiple order bordered magic squares of order 120.  Consdering again a magic square of order 12 as a border, this lead us to magic square of order 144. Below are some details of magic squares of order 144.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background\">See below the details of above multiple order bordered magic squares:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1021\" height=\"1024\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/04\/guia-imagem-132-15-6-1021x1024.png\" alt=\"\" class=\"wp-image-18552\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/04\/guia-imagem-132-15-6-1021x1024.png 1021w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/04\/guia-imagem-132-15-6-300x300.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/04\/guia-imagem-132-15-6-150x150.png 150w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/04\/guia-imagem-132-15-6-768x770.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/04\/guia-imagem-132-15-6-500x500.png 500w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/04\/guia-imagem-132-15-6-535x537.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/04\/guia-imagem-132-15-6-256x256.png 256w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/04\/guia-imagem-132-15-6-1532x1536.png 1532w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/04\/guia-imagem-132-15-6.png 1730w\" sizes=\"(max-width: 1021px) 100vw, 1021px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background\">See below the details of above multiple order bordered magic squares. The bordered applied as given below:<\/p>\n\n\n\n<ul style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 26%,rgba(49,214,181,0.68) 72%,rgb(255,105,0) 100%)\" class=\"wp-block-list has-background\">\n<li><strong>0 Border:<\/strong> <strong>Different sums magic squares of order 3.<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-d72c8b2df34c47ff344f682dec2e994e\">Initially, we have a magic square of order 12 formed by <strong>different sums<\/strong> magic squares of order 3.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>1<sup>st<\/sup> Border: Equal sums magic squares of order 4. <\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-08fc156a756cb8f333404d7295efc310\">Here have considered two types of magic squares of order 4. \n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-78b6b1cf9047f30ac32eb699838da6e0\">The first one is <strong>pandiagonal <\/strong>magic square of order 4. <\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-200bc885aef20c5eac95dc95a8747627\">The second one is formed by two equal sums magic sums <strong>magic rectangles<\/strong> of order 2&#215;4 resulting in a magic square of order 4.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>2<sup>nd<\/sup> Border: Different sums magic squares of order 5.<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-895f40ffd128f8f76b820f51bcdc6620\">In this case, we have considered three different types of magic squares of order 5. \n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-cf0a4361030a5c80ea28ebd917d78aad\">One is pandiagonal magic squares of order 5. <\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-eeb13025634980abff41075986758dd9\">The second is cornered magic square of order 5, where there are two equal sums <strong>magic rectangles <\/strong>of order 2&#215;3 and a magic square of order 3 at the upper-left corner. <\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-35de5608f369a55e7b52b3c4ad99e419\">The third one is <strong>single-digit bordered<\/strong> magic square with magic square of order 3 in the middle.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>3<sup>rd<\/sup> Border: Equal sums magic squares of order 6.<\/strong>\n<ul class=\"wp-block-list has-vivid-purple-color has-text-color has-link-color wp-elements-55f1c6ceda4e711674208f5069526baf\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-9fb5a29f1c78ef1a4c31e105031ac72a\">In this case also we have considered three different types of magic squares of order 6.\n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-dcbe586e59af62d5c3b1007a87525a74\">The first one isa nornal magic square of order 6. <\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-b085d7ae24059f6dc176011645e42c1f\">The second one is cornered magic square of order 6, where there is a <strong>pandiagonal<\/strong> magic square of order 4 at the upper-left corner with two equal sums magic rectangles of order 2&#215;4. <\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-0abd52b5b21e841f8992c80a43ef201c\">The third one is traditional bordered magic square of order 6 with pandiagonal magic square of order 4 in the middle.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>4<sup>th<\/sup> Border:<\/strong> <strong>Different sums magic squares of order 7.<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-fcbe8933d434c02d4dc021578a7444ba\">In this case, we have considered 5 different ways of magic squares of order 7. \n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-ada409f639649bc2a6e9ea56abad6d52\">The first one is a <strong>pandiagonal<\/strong> magic square of order 7. <\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-66a4743e5081d1e38454c00bd406d9d3\">The second one is <strong>double-digit bordered<\/strong> magic square of order 7, where there is a magic square of order 3 in the middle and 4 equal sums magic squares of orders 2&#215;3. <\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-07487e971a5a3668ede3a2789e144a5a\">The third one is a <strong>cornered<\/strong> magic square of order 7 composed of one cornered magic square of order 3 and magic squares of order 3 at the upper-left corner. Two equal sums magic rectangles of order 2&#215;3 and two equal sums magic rectangles of order 2&#215;5.<\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-2ce939fa03caa31ad7b4f048ae2966a1\">The forth one is also a <strong>double-digit bordered<\/strong> magic square of order 7 with magic square of order 3 in the middle. Also there are four equal sums magic rectangles of order 2&#215;5. This type of magic squares we call as <strong>cyclic-double-digits<\/strong> magic square of order 7. <\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-38495089aa2ac519e607e5cff8b33b0a\">The fifth one is single-digit bordered magic square of order 7, where there is a magic square of order 3 in the middle.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>5<sup>th<\/sup> Border:<\/strong> <strong>Equal sums magic squares of order 8.<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-e4624fbbc7507c16df5d73ff4875b2f2\">In this case, we have considered 6 different types of magic squares of order 8. \n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-b55df817df5ce2db4fe44d63ef41c812\">The first one is a p<strong>andiagonal<\/strong> magic square of order 8 formed by four equal sums <strong>pandiagonal <\/strong>magic squares of order 4. <\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-1fe3642f068edafb5f69c49f2f2fb6ea\">The second one is a <strong>cornered<\/strong> magic square of order 8, where there is cornered magic square of order 6 with pandiagonal magic square of order 4 at the upper-left corner. The magic rectangles of orders 2&#215;4 and 2&#215;6 are of equal sums in each case. <\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-54f5cc98054b352b6e2e8199e27b4f79\">The third one is a <strong>double-digit bordered<\/strong> magic square with pandiagonal magic square of order 4 in the middle having 2 equal sums magic rectangles of order 2&#215;8 and two equal sums magic rectangles of order 2&#215;4. <\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-27081312a154eceeb21dfebb3cd7c8cc\">The forth one is also a <strong>double-digit bordered <\/strong>magic square of order 8 with magic square of order 4 in the middle and 4 equals sums magic rectangles of order 2&#215;6. Since it is formed by only magic rectangles of equal width it is known as <strong>striped magic square.<\/strong><\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-3995cfe28f40b2bbc17a189f0fdbc69f\">The fifth one is four equal sums magic squares of order 4, where each magic square of order 4 is formed by two equal sums magic rectangles of order 2&#215;4. Since it is formed by only magic rectangles of equal width it is known as <strong>striped magic square.<\/strong><\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-d3c63c99bb63878611d1b7f88ffd2687\">The sixth one is single-digit bordered magic square of order 8 having a <strong>pandiagonal <\/strong>magic square of order 4 in the middle. This lead us to a multiple order bordered magic square of order 72.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>6<strong><sup>th<\/sup> Border:<\/strong> <strong>Different sums magic squares of order 9<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-618eaa67cca9cc994695d3da587cb5e6\">In this case we have considered 6 different types of magic squares of order 9.\n<ul class=\"wp-block-list\">\n<li>First one is composed of 9 semi-magic squares of order 3 resulting in a <strong>pandiagonal <\/strong>magic square of order 9.<\/li>\n\n\n\n<li>The second one is a <strong>cornered<\/strong> magic square, where magic squares of orders 7 and 5 are also cornered magic squares at the upper-left corner having magic square of order 3.<\/li>\n\n\n\n<li>The third one is <strong>double-digit bordered<\/strong> magic square of order 8 having cornered magic squaRE of order 5 in the middle. Two magic rectangles of orders 2&#215;3 and two magic rectangles of orders 2&#215;5 are of equal sums in each case.<\/li>\n\n\n\n<li>The forth one is again a <strong>double-digit bordered<\/strong> with <strong>single-digit bordered<\/strong> magic square of order 5 at the middle. The external border is composed of 2 magic rectangles of order 2&#215;9 and two magic rectangles of order 2&#215;5. Both are of equal sums in each case. In the middle there is a magic square of order 3.<\/li>\n\n\n\n<li>The fifth one is again a <strong>double digit-digit bordered<\/strong> magic square of order 9 with external bordered as 4 equal sums magic rectangles of order 2&#215;7. In the middle there is a pandiagonal magic square of order 5. This kind of magic square we call as cyclic-type double digit bordered magic square of order 9<\/li>\n\n\n\n<li>The sixth is a normal <strong>single-digit bordered <\/strong>magic square of order 9 having magic square of order 3 in the middle.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>7<strong><sup>th<\/sup> Border:<\/strong> <strong>Different sums magic squares of order 15<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"has-black-color has-text-color has-link-color wp-elements-40c8343abbbb1a866bd43d5e1426c7f7\">In this case we have considered 6 different types of magic squares of order 15.\n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-4c9c5e07bf905b13c6a23debcbf9b684\">The first is a <strong>double-digit bordered<\/strong> magic square of order 15 embedded with <strong>double-digit bordered<\/strong> magic square of orders 11 and 7 with magic square of order 3 in the middle. It contains 4 equal sums <strong>magic rectangles<\/strong> of order 2&#215;11, 2&#215;7 and 2&#215;3 in each case. <\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-efa1e0efcf8fb9425e9ad3d67d44c574\">The second is also a <strong>double-digit bordered <\/strong>magic square of order 15 with <strong>double-digit bordered<\/strong> magic square of orders 11 and 7 with magic square of order 3 in the middle. The four <strong>magic rectangles<\/strong> of order 2&#215;13, 2&#215;9 and 2&#215;5 equal sums in each case. Sometimes, this kind of magic squares we call as<strong> cyclic-type double-digit bordered<\/strong> magic squares.<\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-d8a3bad3b7f1c069523a4ab2d2ef5695\">The third is also a <strong>double-digit bordered<\/strong> magic square of order 15 embedded with <strong>double-digit bordered<\/strong> magic square of order 11 and 7. It contains 2 <strong>magic rectangles<\/strong> of orders 2&#215;15, and 4 or orders 2&#215;11, and four of oders 2&#215;7  and 2 of orders 2&#215;3. In each case they are equal sums. Also there is a magic square of order 3 in the middle. This kind of magic square sometimes we call as<strong> flat-type-double-digit bordered <\/strong>magic square..<\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-7d69286e5f7ed3f562e5bed652272a1f\">The forth is a <strong>cornered<\/strong> magic square of order 15 having again cornered magic squares orders 13, 11, 9, 7 and 5 at the <strong>upper-left<\/strong> corner with magic square of order 3 at the upper-left corner. The two <strong>magic rectangles<\/strong> of orders 2&#215;3, 2&#215;5, 2&#215;7, 2&#215;9 and 2&#215;11 are of <strong>equal sums in each case. <\/strong><\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-bec40af692f306aecd3e59632dbb0b90\">The fifth is again a composed of 9 different sums<strong> single-digit bordered<\/strong> magic squares of order 5 having magic squares of order 3 in the middle of each. <\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-db07321be8e88b3d9ef9c923da4358d9\">The sixth is a <strong>single-digit bordered <\/strong>magic square of order 15 with magic square of order 3 in the middle.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>8<strong><sup>th<\/sup> Border:<\/strong> <strong>Different sums magic squares of order 12<\/strong>\n<ul class=\"wp-block-list\">\n<li>In this case we have considered 6 different types of magic squares of order 12\n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-240667d3be836cc24d47ea9cfa7abf11\">The first magic square of order 12 is composed 4 equal sums magic squares of order 6. The are corner-type magic squares of order 6 have a pandiagonal magic square of order 4 in the corner.<\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-803231ee9fbac3d4c5bec5a900dd8983\">The second magic square of order 12 is a cornered 2 magic rectangles of order 2&#215;12 and 2 of order 2&#215;8. The innner part is a magic square of order 8. <\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-8437d666b8355ba28a65e69e877aa42b\">The third magic square of order 12 is similar to previous one. The only change is in the internal magic square of order 12. It is different from the one given in second type.<\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-0b9e397a9c7b2c48bb1590ada0d006c7\">The forth magic square of order 12 is composed of 2 <strong>equal sums single-layer magic rectangles<\/strong> of order 6&#215;12.<\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-87e9945fce153792f230865b5b97e4f5\">The fifth magic square of order 12 composed of 2 <strong>equal sums magic rectangles<\/strong> of order 6&#215;8 and 2 magic rectangles of order 4&#215;6. <\/li>\n\n\n\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-aef3940f3fa7f3af8407b5782c976548\">The sixth magic square of order 12 is composed of <strong>single-layer <\/strong>magic square of order 12 embedded with a magic square of order 10. This magic square of order 10 is again composed two <strong>single-layer magic rectangles <\/strong>of order 4&#215;10 and one <strong>magic rectangle<\/strong> of order 2&#215;10. <\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-vivid-green-cyan-background-color has-background\">Summarizing there are multiple order bordered magic square of order 132 as given below<\/p>\n\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list has-electric-grass-gradient-background has-background\">\n<li><strong>0 Border:<\/strong> <strong>Different sums magic squares of order 3.<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-d72c8b2df34c47ff344f682dec2e994e\">Initially, we have a magic square of order 12 formed by <strong>different sums<\/strong> magic squares of order 3.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>1<sup>st<\/sup> Border: Equal sums magic squares of order 4. <\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-ff4786b45667576ba45ba75c4023c6d5\">In this case we have considered two different types of magic squares of order 4. Combining with magic square of order 12 we have <strong>2-different types<\/strong> of magic squares of order 20.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>2<sup>nd<\/sup> Border: Different sums magic squares of order 5.<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-b4d9d36b7c2239b8d76f25c983cac134\">In this case, we have considered 3-different types of magic squares of order 5. Combining with 3 magic squares of order 20 we have <strong>6-different types<\/strong> of magic squares of order 20.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>3<sup>rd<\/sup> Border: Equal sums magic squares of order 6.<\/strong>\n<ul class=\"wp-block-list has-vivid-purple-color has-text-color has-link-color wp-elements-2c06c633fd710a53ff2e46f4b721bf17\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-79b4bbcb3ce146374694d58fe1957468\">In this case also we have considered 3-different types of magic squares of order 6. Combining with 6 magic squares of order 30 we have <strong>18-different types<\/strong> of magic squares of order 42.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>4<sup>th<\/sup> Border:<\/strong> <strong>Different sums magic squares of order 7.<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-e82e45ac67e5313d807320fe2c938bba\">In this case, we have considered 5-different ways of magic squares of order 7. Combining with 18 magic squares of order 42 we have <strong>90-different types <\/strong>of magic squares of order 56.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>5<sup>th<\/sup> Border:<\/strong> <strong>Equal sums magic squares of order 8.<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-1c121fbf47d1ce7727b1d7058aeb768c\">In this case we have considered 6 different types of magic squares.  Combining with 18 magic squares of order 42 we have <strong>540-different types <\/strong>of magic squares of order 72.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>6<strong><sup>th<\/sup> Border:<\/strong><strong>Different sums magic squares of order 9<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-4cc7d270a20886237c41b35fab13fe83\">In this case we have considered 6 different types of magic squares of order 9. Combining with 540 magic squares of order 72 we have <strong>3240-different types <\/strong>of magic squares of order 90.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>7<strong><sup>th<\/sup> Border:Different sums magic squares of order 15<\/strong>\n<ul class=\"wp-block-list has-vivid-purple-color has-text-color has-link-color wp-elements-d3eb6778c59e441a2687e6b086c346e8\">\n<li>In this case we have considered again 6 different types of magic squares of order 9. Combining with <strong>3240*6=19440<\/strong> magic squares of order 90. Instead of 19440 we have obtained only 3888 magic square of order 90. In this we have considered only 540 magic square of order 90. This lead us to <strong>540*6=3240 <\/strong>multiple order bordered magic squares of order 120.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>8<strong><sup>th<\/sup> Border: <strong>Different sums magic squares of order 12<\/strong><\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"has-vivid-purple-color has-text-color has-link-color wp-elements-32f409ed4c3b64c1e0109ece16b7056d\">In this case we have considered again 6 different types of magic squares of order 12 <strong>3888*6=23328<\/strong> magic squares of order 144. Instead of 23328 we have obtained only <strong>3888<\/strong> magic square of order 144. In this we have considered only 648 magic square of order 120. This lead us to <strong>648*6=3888 <\/strong>multiple order bordered magic squares of order 1442.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-electric-grass-gradient-background has-background\">For the previous results on multiple bordered magic squares of orders 20, 30, 42, 56, 72 and 90 refer to the link:<\/p>\n\n\n\n<ul class=\"wp-block-list has-blush-light-purple-gradient-background has-background\">\n<li>Inder J. Taneja, Multiple Orders Bordered Magic Squares, <strong>Zenodo<\/strong>, \n<ul class=\"wp-block-list\">\n<li>Site link: <a href=\"https:\/\/numbers-magic.com\/?p=9176\"><\/a><a href=\"https:\/\/numbers-magic.com\/?p=17754\">Beauty of Magic Squares: 3240 Multiple Order Bordered Magic Squares of Order 90<\/a>.<\/li>\n<\/ul>\n<\/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(252,185,0) 0%,rgb(255,255,255) 36%,rgb(255,105,0) 100%)\">Magic Squares of Order 144<\/h3>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-justify has-pale-ocean-gradient-background has-background\">This work is for the <strong>multiple order bordered <\/strong>magic squares of order 144. Let&#8217;s consider the following 6 magic squares of order 12.<\/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=\"1519\" height=\"495\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-1-2.png\" alt=\"\" class=\"wp-image-18720\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-1-2.png 1519w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-1-2-300x98.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-1-2-1024x334.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-1-2-768x250.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-1-2-535x174.png 535w\" sizes=\"(max-width: 1519px) 100vw, 1519px\" \/><\/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=\"1514\" height=\"492\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-3-4.png\" alt=\"\" class=\"wp-image-18721\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-3-4.png 1514w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-3-4-300x97.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-3-4-1024x333.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-3-4-768x250.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-3-4-535x174.png 535w\" sizes=\"(max-width: 1514px) 100vw, 1514px\" \/><\/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=\"501\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-5-6.png\" alt=\"\" class=\"wp-image-18722\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-5-6.png 1522w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-5-6-300x99.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-5-6-1024x337.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-5-6-768x253.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/12x12-5-6-535x176.png 535w\" sizes=\"(max-width: 1522px) 100vw, 1522px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background\">Above there are 6 magic squares of order 12. The details are as follows:<\/p>\n\n\n\n<p><\/p>\n\n\n\n<ol class=\"wp-block-list has-blush-light-purple-gradient-background has-background\">\n<li>The first magic square of order 12 is composed 4 equal sums magic squares of order 6. The are corner-type magic squares of order 6 have a pandiagonal magic square of order 4 in the corner.<\/li>\n\n\n\n<li>The second magic square of order 12 is a cornered 2 magic rectangles of order 2&#215;12 and 2 of order 2&#215;8. The innner part is a magic square of order 8. <\/li>\n\n\n\n<li>The third magic square of order 12 is similar to previous one. The only change is in the internal magic square of order 12. It is different from the one given in second type.<\/li>\n\n\n\n<li>The forth magic square of order 12 is composed of 2 <strong>equal sums single-layer magic rectangles<\/strong> of order 6&#215;12.<\/li>\n\n\n\n<li>The fifth magic square of order 12 composed of 2 <strong>equal sums magic rectangles<\/strong> of order 6&#215;8 and 2 magic rectangles of order 4&#215;6. <\/li>\n\n\n\n<li>The sixth magic square of order 12 is composed of <strong>single-layer <\/strong>magic square of order 12 embedded with a magic square of order 10. This magic square of order 10 is again composed two <strong>single-layer magic rectangles <\/strong>of order 4&#215;10 and one <strong>magic rectangle<\/strong> of order 2&#215;10. <\/li>\n<\/ol>\n\n\n\n<p class=\"has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background\">Below are few examples of magic squares of order 144. These are only figures (without numbers).  The complete excel files are given author&#8217;s work in Zenodo. Reference is given below in reference list.<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-align-center has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-7e1c9f63f476414734d73ca94d3cc058\">In Figures or Designs<\/h4>\n\n\n\n<h5 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-cb4872a599be239a7c4ed8cc4ae51d6c\">First-Type: <\/h5>\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=\"2560\" height=\"1273\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-1-2-scaled.png\" alt=\"\" class=\"wp-image-18725\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-1-2-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-1-2-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-1-2-1024x509.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-1-2-768x382.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-1-2-535x266.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-1-2-1536x764.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-1-2-2048x1018.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/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=\"2560\" height=\"1270\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-3-4-scaled.png\" alt=\"\" class=\"wp-image-18726\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-3-4-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-3-4-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-3-4-1024x508.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-3-4-768x381.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-3-4-535x265.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-3-4-1536x762.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-3-4-2048x1016.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/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=\"2560\" height=\"1270\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-5-6-scaled.png\" alt=\"\" class=\"wp-image-18727\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-5-6-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-5-6-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-5-6-1024x508.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-5-6-768x381.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-5-6-535x265.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-5-6-1536x762.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-5-6-2048x1016.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h5 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-05f84424942eecdc732918e0aa923b2d\">Second-Type:<\/h5>\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=\"2560\" height=\"1271\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-7-8-scaled.png\" alt=\"\" class=\"wp-image-18728\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-7-8-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-7-8-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-7-8-1024x509.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-7-8-768x381.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-7-8-535x266.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-7-8-1536x763.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-7-8-2048x1017.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/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=\"2560\" height=\"1271\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-9-10-scaled.png\" alt=\"\" class=\"wp-image-18729\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-9-10-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-9-10-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-9-10-1024x508.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-9-10-768x381.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-9-10-535x266.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-9-10-1536x763.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-9-10-2048x1017.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/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=\"2560\" height=\"1271\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-11-12-scaled.png\" alt=\"\" class=\"wp-image-18730\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-11-12-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-11-12-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-11-12-1024x509.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-11-12-768x381.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-11-12-535x266.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-11-12-1536x763.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-11-12-2048x1017.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h5 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-93adf572db8bcfc2077ebac8fd2c5268\">Third-Type:<\/h5>\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=\"2560\" height=\"1268\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-13-14-scaled.png\" alt=\"\" class=\"wp-image-18731\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-13-14-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-13-14-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-13-14-1024x507.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-13-14-768x381.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-13-14-535x265.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-13-14-1536x761.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-13-14-2048x1015.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/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=\"2560\" height=\"1274\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-15-16-scaled.png\" alt=\"\" class=\"wp-image-18732\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-15-16-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-15-16-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-15-16-1024x510.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-15-16-768x382.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-15-16-535x266.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-15-16-1536x764.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-15-16-2048x1019.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/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=\"2560\" height=\"1269\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-17-18-scaled.png\" alt=\"\" class=\"wp-image-18733\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-17-18-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-17-18-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-17-18-1024x508.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-17-18-768x381.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-17-18-535x265.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-17-18-1536x762.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-17-18-2048x1016.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h5 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-b1ebf3a3a514ca3f2fffbeac3c7f994d\">Forth-Type:<\/h5>\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=\"2560\" height=\"1267\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-19-20-scaled.png\" alt=\"\" class=\"wp-image-18734\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-19-20-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-19-20-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-19-20-1024x507.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-19-20-768x380.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-19-20-535x265.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-19-20-1536x760.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-19-20-2048x1014.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/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=\"2560\" height=\"1272\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-21-22-scaled.png\" alt=\"\" class=\"wp-image-18735\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-21-22-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-21-22-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-21-22-1024x509.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-21-22-768x382.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-21-22-535x266.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-21-22-1536x763.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-21-22-2048x1018.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/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=\"2560\" height=\"1271\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-23-24-scaled.png\" alt=\"\" class=\"wp-image-18736\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-23-24-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-23-24-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-23-24-1024x508.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-23-24-768x381.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-23-24-535x266.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-23-24-1536x763.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-23-24-2048x1017.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h5 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-8820c8b3544cfa838d1c1815b20f2297\">Fifth-Type:<\/h5>\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=\"2560\" height=\"1272\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-25-26-scaled.png\" alt=\"\" class=\"wp-image-18737\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-25-26-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-25-26-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-25-26-1024x509.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-25-26-768x381.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-25-26-535x266.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-25-26-1536x763.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-25-26-2048x1017.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/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=\"2560\" height=\"1268\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-27-28-scaled.png\" alt=\"\" class=\"wp-image-18738\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-27-28-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-27-28-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-27-28-1024x507.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-27-28-768x380.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-27-28-535x265.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-27-28-1536x761.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-27-28-2048x1014.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/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=\"2560\" height=\"1267\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-29-30-scaled.png\" alt=\"\" class=\"wp-image-18739\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-29-30-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-29-30-300x148.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-29-30-1024x507.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-29-30-768x380.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-29-30-535x265.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-29-30-1536x760.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-29-30-2048x1013.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h5 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-c8e1e5135cb81725b8b8507c63a4057e\">Sixth Type<\/h5>\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=\"2560\" height=\"1271\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-31-32-scaled.png\" alt=\"\" class=\"wp-image-18740\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-31-32-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-31-32-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-31-32-1024x508.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-31-32-768x381.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-31-32-535x266.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-31-32-1536x762.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-31-32-2048x1016.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/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=\"2560\" height=\"1271\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-33-34-scaled.png\" alt=\"\" class=\"wp-image-18741\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-33-34-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-33-34-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-33-34-1024x508.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-33-34-768x381.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-33-34-535x266.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-33-34-1536x762.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-33-34-2048x1016.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/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=\"2560\" height=\"1269\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-35-36-scaled.png\" alt=\"\" class=\"wp-image-18742\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-35-36-scaled.png 2560w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-35-36-300x149.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-35-36-1024x508.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-35-36-768x381.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-35-36-535x265.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-35-36-1536x761.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2026\/05\/f-144x144120-35-36-2048x1015.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/><\/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(252,185,0) 0%,rgb(255,255,255) 36%,rgb(255,105,0) 100%)\">References<\/h3>\n\n\n\n<p><\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-align-center has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-77d9263769a07616dbdb6112daa82d83\">Even Orders Magic Squares<\/h4>\n\n\n\n<ol style=\"background:linear-gradient(135deg,rgb(255,206,236) 0%,rgb(166,158,247) 50%,rgb(152,150,240) 100%)\" class=\"wp-block-list has-background\">\n<li><strong>Inder J. Taneja<\/strong>, Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 4,&nbsp;<strong>Zenodo<\/strong>, August 31, 2021, pp. 1-148,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.5347897\">https:\/\/doi.org\/10.5281\/zenodo.5347897<\/a>.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=648\" target=\"_blank\" rel=\"noreferrer noopener\">Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 4<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 6,&nbsp;<strong>Zenodo<\/strong>, July 25, 2023, pp. 1-32, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8184983\">https:\/\/doi.org\/10.5281\/zenodo.8184983<\/a>.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=316\">Block-Wise Bordered Magic Squares Multiples of Magic and Bordered Magic Squares of Order 6<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered and Pandiagonal Magic Squares Multiples of 8,&nbsp;<strong>Zenodo<\/strong>, July 26, 2023, pp. 1-58,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.8187791\">https:\/\/doi.org\/10.5281\/zenodo.8187791<\/a>.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=687\">Block-Wise Bordered Magic Squares Multiples of 8<\/a>. <\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 10,&nbsp;<strong>Zenodo<\/strong>, July 26, pp. 1-40, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8187888\">https:\/\/doi.org\/10.5281\/zenodo.8187888<\/a>.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=706\">Block-Wise Bordered Magic Squares Multiples of 10<\/a>. <\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered and Pandiagonal Magic Squares Multiples of 12,&nbsp;<strong>Zenodo<\/strong>, July 27, 2023, pp. 1-31, https:\/\/doi.org\/10.5281\/zenodo.8188293.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=747\">Block-Wise Bordered Magic Squares Multiples of 12<\/a>. <\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 14,&nbsp;<strong>Zenodo<\/strong>, July 27, pp. 1-33, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8188395\">https:\/\/doi.org\/10.5281\/zenodo.8188395<\/a>.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=812\">Block-Wise Bordered Magic Squares Multiples of 14<\/a>. <\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered and Pandiagonal Magic Squares Multiples of 16,&nbsp;<strong>Zenodo<\/strong>, July 27, pp. 1-30, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8190884\">https:\/\/doi.org\/10.5281\/zenodo.8190884<\/a>.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=9634\">Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 16.<\/a> <\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 18,&nbsp;<strong>Zenodo<\/strong>, July 28, pp. 1-31, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8191223\">https:\/\/doi.org\/10.5281\/zenodo.8191223<\/a>.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=9655\">Block-Wise Bordered Magic Squares Multiples of 18.<\/a> <\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered and Pandiagonal Magic Squares Multiples of 20,&nbsp;<strong>Zenodo<\/strong>, July 28, pp. 1-45, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8191426\">https:\/\/doi.org\/10.5281\/zenodo.8191426<\/a>.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=9675\">Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 20.<\/a><\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading has-text-align-center has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-cca885f3fb0c67f6f4fe92a0597e1981\">Odd Orders Magic Squares<\/h4>\n\n\n\n<ol style=\"background:linear-gradient(135deg,rgb(255,206,236) 0%,rgb(166,158,247) 50%,rgb(152,150,240) 100%)\" class=\"wp-block-list has-background\">\n<li><strong>Inder J. Taneja<\/strong>, Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 3,&nbsp;<strong>Zenodo<\/strong>, May 5, pp. 1-29, 2023,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.7898383\">https:\/\/doi.org\/10.5281\/zenodo.7898383<\/a>.<br>Web-Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=8707\">Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 3<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered and Pandiagonal Magic Squares Multiples of 5,&nbsp;<strong>Zenodo<\/strong>, July 23, 2023, pp. 1-36,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.8175759\">https:\/\/doi.org\/10.5281\/zenodo.8175759<\/a>.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=8738\">Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 5<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered and Pandiagonal Magic Squares Multiples of 7,&nbsp;<strong>Zenodo<\/strong>, July 23, pp. 1-34, 2023,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.8176061\">https:\/\/doi.org\/10.5281\/zenodo.8176061<\/a>.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=8766\">Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 7<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 9,&nbsp;<strong>Zenodo<\/strong>, July 23, 2023, pp. 1-28, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8176357\">https:\/\/doi.org\/10.5281\/zenodo.8176357<\/a>.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=8972\">Block-Wise Bordered Magic Squares Multiples of 9<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 11,&nbsp;<strong>Zenodo<\/strong>, July 24, pp. 1-34, 2023,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.8176475\">https:\/\/doi.org\/10.5281\/zenodo.8176475<\/a>.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=8989\">Block-Wise Bordered Magic Squares Multiples of 11<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 13,&nbsp;<strong>Zenodo<\/strong>, July 24, pp. 1-32, 2023,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.8178879\">https:\/\/doi.org\/10.5281\/zenodo.8178879<\/a>.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=9745\">Bordered Magic Squares Multiples of 13.<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 15,&nbsp;<strong>Zenodo<\/strong>, July 24, pp. 1-35, 2023,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.8178935\">https:\/\/doi.org\/10.5281\/zenodo.8178935<\/a>.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=9768\">Block-Wise Bordered Magic Squares Multiples of 15.<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 17,&nbsp;<strong>Zenodo<\/strong>, July 25, pp. 1-26, 2023,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.8180706\">https:\/\/doi.org\/10.5281\/zenodo.8180706<\/a>.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=9789\">Bordered Magic Squares Multiples of 17.<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 19,&nbsp;<strong>Zenodo<\/strong>, July 25, pp. 1-31, 2023,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.8180919\">https:\/\/doi.org\/10.5281\/zenodo.8180919<\/a>.<br>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=9812\">Bordered Magic Squares Multiples of 19.<\/a><\/li>\n<\/ol>\n\n\n\n<p><\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-align-center has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-dc14417c3bb1b6ea658c566b8afdcd02\">Mixed Orders Magic Squares<\/h4>\n\n\n\n<ol style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 42%,rgb(255,105,0) 100%)\" class=\"wp-block-list has-background\">\n<li><strong>Inder J. Taneja<\/strong>, Beauty of Magic Squares: 540-Multiple Order Bordered Magic Squares of Orders 20, 30, 42, 56 and 72, <strong>Zenodo<\/strong>, April 14, 2026, pp. 1-75, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.19573409\">https:\/\/doi.org\/10.5281\/zenodo.19573409<\/a>.\n<ul class=\"wp-block-list\">\n<li>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=9176\">Beauty of Magic Squares: Multiple Order Bordered Magic Squares of Orders 20, 30, 42, 56 and 72<\/a>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Beauty of Magic Squares: 3240-Multiple Orders Bordered Magic Squares of Order 90,&nbsp;<strong>Zenodo<\/strong>, April 14, 2026, pp. 1-50, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.19571319\">https:\/\/doi.org\/10.5281\/zenodo.19571319<\/a>.\n<ul class=\"wp-block-list\">\n<li>Web-site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=17754\">Beauty of Magic Squares: 3240 Multiple Order Bordered Magic Squares of Order 90<\/a>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Beauty of Magic Squares: <strong>7128<\/strong> Multiple Order Bordered Magic Squares of Order 108\n<ul class=\"wp-block-list\">\n<li>Beauty of Magic Squares: 3888-Multiple Orders Bordered Magic Squares of Order 108 &#8211; Part 1,&nbsp;<strong>Zenodo<\/strong>, April 14, 2026, pp. 1-48, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.19571287\">https:\/\/doi.org\/10.5281\/zenodo.19571287<\/a>.\n<ul class=\"wp-block-list\">\n<li>Web-site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=18205\">Beauty of Magic Squares: 3888 Multiple Order Bordered Magic Squares of Order 108 &#8211; Part 1<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Beauty of Magic Squares: 3240-Multiple Orders Bordered Magic Squares of Order 108 &#8211; Part 2,&nbsp;<strong>Zenodo<\/strong>, April 14, 2026, pp. 1-52,<a href=\" https:\/\/doi.org\/110.5281\/zenodo.19571709\"> https:\/\/doi.org\/110.5281\/zenodo.19571709<\/a>\n<ul class=\"wp-block-list\">\n<li>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=18266\">Beauty of Magic Squares: 3888 Multiple Order Bordered Magic Squares of Order 108-Part 2<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Beauty of Magic Squares: 3888 Multiple Orders Bordered Magic Squares of Order 110,&nbsp;<strong>Zenodo<\/strong>, April 14, 2026, pp. 1-48, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.19571838\">https:\/\/doi.org\/10.5281\/zenodo.19571838<\/a>\n<ul class=\"wp-block-list\">\n<li>Web-site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=18205\"><\/a><a href=\"https:\/\/numbers-magic.com\/?p=18149\">Beauty of Magic Squares: 3888 Multiple Order Bordered Magic Squares of Order 110<\/a>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Beauty of Magic Squares: 3240 Multiple Orders Bordered Magic Squares of Orders 120,&nbsp;<strong>Zenodo<\/strong>, April 14, 2026, pp. 1-54, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.19571923\">https:\/\/doi.org\/10.5281\/zenodo.19571923<\/a>.\n<ul class=\"wp-block-list\">\n<li>Web-site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=18329\">Beauty of Magic Squares: 3240 Multiple Order Bordered Magic Squares of Order 120<\/a>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Beauty of Magic Squares: <strong>14256<\/strong> Multiple Order Bordered Magic Squares of Order 132:\n<ul class=\"wp-block-list\">\n<li>Beauty of Magic Squares: 3888-Multiple Orders Bordered Magic Squares of Order 132 &#8211; Part 1,&nbsp;<strong>Zenodo<\/strong>, April 14, 2026, pp. 1-53, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.19572065\">https:\/\/doi.org\/10.5281\/zenodo.19572065<\/a>.\n<ul class=\"wp-block-list\">\n<li>Web-site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=18408\"><\/a><a href=\"https:\/\/numbers-magic.com\/?p=18372\">Beauty of Magic Squares: 3888 Multiple Order Bordered Magic Squares of Order 132- Part 1<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Beauty of Magic Squares: 3888-Multiple Orders Bordered Magic Squares of Order 132 &#8211; Part 2,&nbsp;<strong>Zenodo<\/strong>, April 14, 2026, pp. 1-49, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.19572160\">https:\/\/doi.org\/10.5281\/zenodo.19572160<\/a>.\n<ul class=\"wp-block-list\">\n<li>Web-site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=18408\">Beauty of Magic Squares: 3888 Multiple Order Bordered Magic Squares of Order 132-Part 2<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Beauty of Magic Squares: Multiple Orders Bordered Magic Squares of Order 132 &#8211; Part 3,&nbsp;<strong>Zenodo<\/strong>, April 14, 2026, pp. 1-55, <a href=\"https:\/\/doi.org\/110.5281\/zenodo.19572664\">https:\/\/doi.org\/110.5281\/zenodo.19572664<\/a>.\n<ul class=\"wp-block-list\">\n<li>Web-site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=18459\">Beauty of Magic Squares: 3240 Multiple Order Bordered Magic Squares of Order 132-Part 3<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Beauty of Magic Squares: Multiple Orders Bordered Magic Squares of Order 132 &#8211; Part 4,&nbsp;<strong>Zenodo<\/strong>, April 20, 2026, pp. 1-43, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.19572938\">https:\/\/doi.org\/10.5281\/zenodo.19572938<\/a>.\n<ul class=\"wp-block-list\">\n<li>Web-site Link: <a href=\"https:\/\/numbers-magic.com\/?p=18551\">Beauty of Magic Squares: 3240 Multiple Order Bordered Magic Squares of Order 132 \u2013 Part 4<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Beauty of Magic Squares:&nbsp;<strong>15552<\/strong>&nbsp;Multiple Order Bordered Magic Squares of Order 144:\n<ul class=\"wp-block-list\">\n<li>Beauty of Magic Squares: 3888-Multiple Orders Bordered Magic Squares of Order 144 \u2013 Part 1,&nbsp;<strong>Zenodo<\/strong>,\n<ul class=\"wp-block-list\">\n<li>Web-site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=18662\">Beauty of Magic Squares: 3888 Multiple Order Bordered Magic Squares of Order 144 \u2013 Part 1<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Beauty of Magic Squares: 3888-Multiple Orders Bordered Magic Squares of Order 144 \u2013 Part 2,&nbsp;<strong>Zenodo<\/strong>,\n<ul class=\"wp-block-list\">\n<li>Web-site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=18690\">Beauty of Magic Squares: 3888 Multiple Order Bordered Magic Squares of Order 144 \u2013 Part 2<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Beauty of Magic Squares: Multiple Orders Bordered Magic Squares of Order 132 \u2013 Part 3,&nbsp;<strong>Zenodo<\/strong>,\n<ul class=\"wp-block-list\">\n<li>Web-site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=18719\">Beauty of Magic Squares: 3888 Multiple Order Bordered Magic Squares of Order 144 \u2013 Part 3<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Beauty of Magic Squares: Multiple Orders Bordered Magic Squares of Order 132 \u2013 Part 4,&nbsp;<strong>Zenodo<\/strong>,\n<ul class=\"wp-block-list\">\n<li>Web-site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=18745\">Beauty of Magic Squares: 3888 Multiple Order Bordered Magic Squares of Order 144 \u2013 Part 4<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>During past years author worked with&nbsp;block-wise bordered&nbsp;magic squares multiples of even and odd number blocks. This means, multiples of 3, 4, 5, 6, etc. These works can be accessed at the following links. This work bring magic squares, based on multiple order magic squares in the same magic squares. This means same magic square contains [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":18743,"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-18719","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\/2026\/05\/f-144x144120-28.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/18719","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=18719"}],"version-history":[{"count":4,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/18719\/revisions"}],"predecessor-version":[{"id":18786,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/18719\/revisions\/18786"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/18743"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=18719"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=18719"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=18719"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}