{"id":13634,"date":"2024-12-16T00:33:37","date_gmt":"2024-12-16T03:33:37","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=13634"},"modified":"2024-12-17T00:09:39","modified_gmt":"2024-12-17T03:09:39","slug":"351st-day-of-the-year-16-12-24-crazy-representations-and-magic-squares-of-order-13","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=13634","title":{"rendered":"351st Day of the Year: 16.12.24 \u2013 Crazy Representations and Magic Squares of Order 13"},"content":{"rendered":"<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"958\" height=\"1582\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/day-351.png\" alt=\"\" class=\"wp-image-13635\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/day-351.png 958w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/day-351-182x300.png 182w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/day-351-620x1024.png 620w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/day-351-768x1268.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/day-351-535x883.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/day-351-930x1536.png 930w\" sizes=\"(max-width: 958px) 100vw, 958px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-blush-light-purple-gradient-background has-background\">References<\/h2>\n\n\n\n<p><\/p>\n\n\n\n<ol class=\"wp-block-list has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background\">\n<li><strong>Inder J. Taneja<\/strong>, <em>Crazy Sequential Representation: Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9<\/em>, Jan. 2014, pp.1-161,&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1302.1479\">http:\/\/arxiv.org\/abs\/1302.1479<\/a>.\n<ul class=\"wp-block-list\">\n<li><strong>Site link:<\/strong>&nbsp;<em>Crazy Representations of Natural Numbers \u2013 The 10958 Problem<\/em>,&nbsp;<a href=\"https:\/\/inderjtaneja.com\/2018\/11\/16\/crazy-representations-of-natural-numbers-the-10958-problem\">https:\/\/inderjtaneja.com\/2018\/11\/16\/crazy-representations-of-natural-numbers-the-10958-problem<\/a>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, <a href=\"https:\/\/numbers-magic.com\/?p=11640\">Multiple Choices for Crazy Representations of Natural Numbers<\/a>.<\/li>\n<\/ol>\n\n\n\n<p><\/p>\n\n\n\n<ol class=\"wp-block-list has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background\">\n<li><strong>Inder J. Taneja<\/strong>, <a href=\"https:\/\/numbers-magic.com\/?p=11418\">Mathematical Representations for Days of the Year<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, <a href=\"https:\/\/zenodo.org\/records\/8043030\">Odd Order Magic Squares: Orders 3 to 15 (zenodo.org)<\/a>\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=9215\">Odd Order Magic Squares: Orders 3 to 15<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Different Styles of Magic Squares of Orders 6, 8, 10 and 12 Using Bordered Magic Rectangles,&nbsp;<strong>Zenodo<\/strong>, November 14, 2022, pp. 1-26, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.7319985\">https:\/\/doi.org\/10.5281\/zenodo.7319985<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, <a href=\"https:\/\/numbers-magic.com\/?p=8923\">Cornered Magic Squares of Order 6 \u2013 Recreating Numbers and Magic Squares (numbers-magic.com)<\/a><\/li>\n\n\n\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>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Cornered Magic Squares of Orders 5 to 13,&nbsp;<strong>Zenodo<\/strong>, June 03, 2023, pp. 1-71,&nbsp; <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8000467\">https:\/\/doi.org\/10.5281\/zenodo.8000467<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, New Concepts in Magic Squares: Cornered Magic Squares of Orders 5 to 81,&nbsp; <strong>Zenodo<\/strong>, August 09, 2023, pp. 1-27,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.8231157\">https:\/\/doi.org\/10.5281\/zenodo.8231157<\/a>.\n<ul class=\"wp-block-list\">\n<li><strong>Site Link: <\/strong><a href=\"https:\/\/numbers-magic.com\/?p=10016\">New Concepts in Magic Squares: Cornered Magic Squares from Order 5 to 81 <\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, New Concepts in Magic Squares: Double Digits Bordered Magic Squares of Orders 7 to 108,&nbsp;<strong>Zenodo<\/strong>, August 09, 2023, pp. 1-30,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.8230214\">https:\/\/doi.org\/10.5281\/zenodo.8230214<\/a>.\n<ul class=\"wp-block-list\">\n<li><strong>Site Link:<\/strong> <a href=\"https:\/\/numbers-magic.com\/?p=9988\">New Concepts in Magic Squares: Double Digits Bordered Magic Squares of Orders 7 to 108<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,<em>&nbsp;<\/em>Different Types of Magic Squares of Order 14,&nbsp;<strong>Zenodo,&nbsp;<\/strong>November 18, 2023, pp. 1-35,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.10153249\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.10153249<\/a>.\n<ul class=\"wp-block-list\">\n<li><strong>Site Link:<\/strong> <a href=\"https:\/\/numbers-magic.com\/?p=2640\">Different Types of Magic Squares of Order 14<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja,<\/strong>&nbsp;Striped Magic Squares of 16,&nbsp;<strong>Zenodo<\/strong>, May 16, 2024, pp. 1-22, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.11205510\">https:\/\/doi.org\/10.5281\/zenodo.11205510<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=10587\"><\/a><a href=\"https:\/\/numbers-magic.com\/?p=11781\">Striped Magic Squares of Order 16.<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>References<\/p>\n","protected":false},"author":1,"featured_media":13635,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-13634","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-days-of-year"],"jetpack_featured_media_url":"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/day-351.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/13634","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=13634"}],"version-history":[{"count":1,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/13634\/revisions"}],"predecessor-version":[{"id":13636,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/13634\/revisions\/13636"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/13635"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13634"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13634"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13634"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}