{"id":74,"date":"2007-10-04T02:12:10","date_gmt":"2007-10-04T02:12:10","guid":{"rendered":"http:\/\/sschinder.wordpress.com\/2007\/10\/04\/making-magic-squares-with-side-length-multiple-of-four"},"modified":"2018-12-21T11:13:11","modified_gmt":"2018-12-21T03:13:11","slug":"making-magic-squares-with-side-length-multiple-of-four","status":"publish","type":"post","link":"https:\/\/squarez.motd.org\/?p=74","title":{"rendered":"Making magic squares with side length multiple of four"},"content":{"rendered":"\n<p>Magic squares whose side length is a multiple of four can be easily created using the following steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Mark the cells that belong to the diagonal of all 4 by 4 sub-squares.<\/li><li>Starting from the upper right corner, count each cell, writing the number counted if the cell has been marked.<\/li><li>Starting from the lower left corner, count each cell, writing the number counted if the cell is empty.<\/li><\/ol>\n\n\n\n<div class=\"wp-block-media-text alignwide has-media-on-the-right\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"481\" height=\"480\" src=\"https:\/\/squarez.motd.org\/wp-content\/uploads\/2018\/12\/sq4x4_1.jpg\" alt=\"\" class=\"wp-image-535\" srcset=\"https:\/\/squarez.motd.org\/wp-content\/uploads\/2018\/12\/sq4x4_1.jpg 481w, https:\/\/squarez.motd.org\/wp-content\/uploads\/2018\/12\/sq4x4_1-150x150.jpg 150w, https:\/\/squarez.motd.org\/wp-content\/uploads\/2018\/12\/sq4x4_1-300x300.jpg 300w\" sizes=\"auto, (max-width: 481px) 100vw, 481px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p>If we apply the steps mentioned above to a 4 by 4 square, we first mark the cell located on the diagonals. <\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-media-text alignwide\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"481\" height=\"480\" src=\"https:\/\/squarez.motd.org\/wp-content\/uploads\/2018\/12\/sq4x4_2.jpg\" alt=\"\" class=\"wp-image-536\" srcset=\"https:\/\/squarez.motd.org\/wp-content\/uploads\/2018\/12\/sq4x4_2.jpg 481w, https:\/\/squarez.motd.org\/wp-content\/uploads\/2018\/12\/sq4x4_2-150x150.jpg 150w, https:\/\/squarez.motd.org\/wp-content\/uploads\/2018\/12\/sq4x4_2-300x300.jpg 300w\" sizes=\"auto, (max-width: 481px) 100vw, 481px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p>Then we fill the marked cells by counting from the upper right cell. <\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-media-text alignwide has-media-on-the-right\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"481\" height=\"480\" src=\"https:\/\/squarez.motd.org\/wp-content\/uploads\/2018\/12\/sq4x4_3.jpg\" alt=\"\" class=\"wp-image-537\" srcset=\"https:\/\/squarez.motd.org\/wp-content\/uploads\/2018\/12\/sq4x4_3.jpg 481w, https:\/\/squarez.motd.org\/wp-content\/uploads\/2018\/12\/sq4x4_3-150x150.jpg 150w, https:\/\/squarez.motd.org\/wp-content\/uploads\/2018\/12\/sq4x4_3-300x300.jpg 300w\" sizes=\"auto, (max-width: 481px) 100vw, 481px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p>Finally we fill the unmarked cells by counting from the lower left cell. <\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-media-text alignwide\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"481\" height=\"480\" src=\"https:\/\/squarez.motd.org\/wp-content\/uploads\/2018\/12\/sq4x4_5.jpg\" alt=\"\" class=\"wp-image-539\" srcset=\"https:\/\/squarez.motd.org\/wp-content\/uploads\/2018\/12\/sq4x4_5.jpg 481w, https:\/\/squarez.motd.org\/wp-content\/uploads\/2018\/12\/sq4x4_5-150x150.jpg 150w, https:\/\/squarez.motd.org\/wp-content\/uploads\/2018\/12\/sq4x4_5-300x300.jpg 300w\" sizes=\"auto, (max-width: 481px) 100vw, 481px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p>The result is a 4 by 4 magic square. The sum of the numbers in each row, each column and each diagonal is equal to 34. <\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Magic squares whose side length is a multiple of four can be easily created using the following steps: Mark the cells that belong to the diagonal of all 4 by 4 sub-squares. Starting from the upper right corner, count each &hellip; <a href=\"https:\/\/squarez.motd.org\/?p=74\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-74","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/squarez.motd.org\/index.php?rest_route=\/wp\/v2\/posts\/74","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/squarez.motd.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/squarez.motd.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/squarez.motd.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/squarez.motd.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=74"}],"version-history":[{"count":2,"href":"https:\/\/squarez.motd.org\/index.php?rest_route=\/wp\/v2\/posts\/74\/revisions"}],"predecessor-version":[{"id":554,"href":"https:\/\/squarez.motd.org\/index.php?rest_route=\/wp\/v2\/posts\/74\/revisions\/554"}],"wp:attachment":[{"href":"https:\/\/squarez.motd.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=74"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/squarez.motd.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=74"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/squarez.motd.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=74"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}