{"id":168,"date":"2013-12-01T20:35:26","date_gmt":"2013-12-01T15:05:26","guid":{"rendered":"http:\/\/jollymaths.com\/blog\/?p=168"},"modified":"2025-10-22T12:36:42","modified_gmt":"2025-10-22T07:06:42","slug":"30x30-magic-square-inside-a-magic-square","status":"publish","type":"post","link":"https:\/\/jollymaths.com\/blog\/30x30-magic-square-inside-a-magic-square\/","title":{"rendered":"30 x 30 Magic Squares inside a Magic Square"},"content":{"rendered":"<p><a style=\"font-weight: bold; font-size: 16px; line-height: 1.5;\" href=\"http:\/\/jollymaths.com\/blog\/wp-content\/uploads\/2013\/12\/MagicSquares_inside_a_MagicSquare_30x30.jpg\" class=\"gallery_colorbox\"><img loading=\"lazy\" decoding=\"async\" class=\"size-large wp-image-171\" src=\"http:\/\/jollymaths.com\/blog\/wp-content\/uploads\/2013\/12\/MagicSquares_inside_a_MagicSquare_30x30-1024x483.jpg\"  alt=\"30x30 Magic Squares inside a Magic Square\" width=\"604\" height=\"284\" srcset=\"https:\/\/jollymaths.com\/blog\/wp-content\/uploads\/2013\/12\/MagicSquares_inside_a_MagicSquare_30x30-1024x483.jpg 1024w, https:\/\/jollymaths.com\/blog\/wp-content\/uploads\/2013\/12\/MagicSquares_inside_a_MagicSquare_30x30-300x141.jpg 300w, https:\/\/jollymaths.com\/blog\/wp-content\/uploads\/2013\/12\/MagicSquares_inside_a_MagicSquare_30x30.jpg 1252w\" sizes=\"auto, (max-width: 604px) 100vw, 604px\" \/><\/a><\/p>\n<p>The above is a 30 x 30 Magic Squares inside a Magic Square<\/p>\n<p>This is a special construction of a Magic Square wherein we start with a small Magic Square (centermost one in the figure) and added rows and columns around it, ensuring that we have a Magic Square at each stage. This Magic Square has been color-coded to make the Magic Squares clearer.<\/p>\n<p>From the center Yellow coloured is a 4 x 4 Magic square with a total of 1802 in all vertical, Horizontal and in both diagonals. When combininng with the blue coloured sqauare,\u00a0 that 6 x 6\u00a0 will give a totl of 2703.\u00a0 Further it will expand to 8 x 8 , 10 x 10 etc&#8230; and finally it will become 30 x 30 with a grand total of 13515.<\/p>\n<p><strong>I have done this Magic squares inside the magic square from 5 x 5,\u00a0 \u00a0 \u00a06 x 6, 7 x 7, &#8230;&#8230;.198 x 198, 199 x 199 and 200 x 200.\u00a0 In the 200 x 200 Magic squares inside a magic square all the numbers from 1 to 40,000 are used and the row total will be 40,00,100.\u00a0 Also I am\u00a0 planning to do it upto 1500 x 1500.\u00a0<\/strong><\/p>\n<p><strong><em>Definitely, it is a gift given to me by Almighty.\u00a0 I thank the Almighty for giving me the idea, guided me to work, and helped me to complete it with much difficulties.\u00a0<\/em><\/strong><\/p>\n<p style=\"text-align: justify;\">\n","protected":false},"excerpt":{"rendered":"<p>The above is a 30 x 30 Magic Squares inside a Magic Square This is a special construction of a Magic Square wherein we start with a small Magic Square (centermost one in the figure) and added rows and columns around it, ensuring that we have a Magic Square at each stage. This Magic Square &hellip; <a href=\"https:\/\/jollymaths.com\/blog\/30x30-magic-square-inside-a-magic-square\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">30 x 30 Magic Squares inside a Magic Square<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12,8,9,3],"tags":[18,17],"class_list":["post-168","post","type-post","status-publish","format-standard","hentry","category-magic-square-inside-a-magic-square","category-recreational-math","category-recreational-mathematics","category-special-magic-square","tag-magic-square-2","tag-variant-2"],"_links":{"self":[{"href":"https:\/\/jollymaths.com\/blog\/wp-json\/wp\/v2\/posts\/168","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/jollymaths.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/jollymaths.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/jollymaths.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/jollymaths.com\/blog\/wp-json\/wp\/v2\/comments?post=168"}],"version-history":[{"count":4,"href":"https:\/\/jollymaths.com\/blog\/wp-json\/wp\/v2\/posts\/168\/revisions"}],"predecessor-version":[{"id":790,"href":"https:\/\/jollymaths.com\/blog\/wp-json\/wp\/v2\/posts\/168\/revisions\/790"}],"wp:attachment":[{"href":"https:\/\/jollymaths.com\/blog\/wp-json\/wp\/v2\/media?parent=168"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/jollymaths.com\/blog\/wp-json\/wp\/v2\/categories?post=168"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/jollymaths.com\/blog\/wp-json\/wp\/v2\/tags?post=168"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}