{"id":16847,"date":"2025-10-31T00:11:42","date_gmt":"2025-10-31T03:11:42","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=16847"},"modified":"2025-10-31T00:11:45","modified_gmt":"2025-10-31T03:11:45","slug":"304th-day-of-the-year-31-10-2025-crazy-representations-and-magic-squares-of-order-10","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=16847","title":{"rendered":"304th Day of the Year \u2013 31.10.2025: Crazy Representations and Magic Squares of Order 10"},"content":{"rendered":"<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1214\" height=\"1106\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/day-304-3110.png\" alt=\"\" class=\"wp-image-16848\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/day-304-3110.png 1214w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/day-304-3110-300x273.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/day-304-3110-1024x933.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/day-304-3110-768x700.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/day-304-3110-535x487.png 535w\" sizes=\"(max-width: 1214px) 100vw, 1214px\" \/><\/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=\"1215\" height=\"674\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/Details-10a.png\" alt=\"\" class=\"wp-image-16727\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/Details-10a.png 1215w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/Details-10a-300x166.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/Details-10a-1024x568.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/Details-10a-768x426.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/Details-10a-535x297.png 535w\" sizes=\"(max-width: 1215px) 100vw, 1215px\" \/><\/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=\"1215\" height=\"674\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/Details-10b.png\" alt=\"\" class=\"wp-image-16728\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/Details-10b.png 1215w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/Details-10b-300x166.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/Details-10b-1024x568.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/Details-10b-768x426.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2025\/10\/Details-10b-535x297.png 535w\" sizes=\"(max-width: 1215px) 100vw, 1215px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-blush-light-purple-gradient-background has-background\">References <\/h3>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-3804c43aa2a7e74fb660f0157db8aca6\">Part 1: Representing Days and Date<\/h3>\n\n\n\n<ol style=\"background-color:#45c84b4f\" class=\"wp-block-list has-background\">\n<li><strong>Inder J. Taneja<\/strong>, Magic Squares of Orders 3 to 7 in Representing Dates and Days of the Year 2025,&nbsp;<strong>Zenodo<\/strong>, May 04, 2025, pp. 1-474,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.15338142\">https:\/\/doi.org\/10.5281\/zenodo.15338142<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=15152\">Magic Squares of Orders 3 to 7 Representing Dates and Days of the Year 2025<\/a>&nbsp;(new site)<\/li>\n\n\n\n<li>Site Link:&nbsp;<a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/05\/07\/magic-squares-of-orders-3-to-7-representing-dates-and-days-of-the-year-2025\/\">Magic Squares of Orders 3 to 7 Representing Dates and Days of the Year 2025&nbsp;<\/a>(old site)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Magic Squares of Order 8 Representing Days and Dates of the Year 2025,&nbsp;<strong>Zenodo<\/strong>, May 04, 2025, pp. 1-134,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.15338246\">https:\/\/doi.org\/10.5281\/zenodo.15338246<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=15547\">Magic Squares of Order 8 Representing Days and Dates of the Year 2025<\/a>&nbsp;(new site)<\/li>\n\n\n\n<li>Site Link:&nbsp;<a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/05\/07\/magic-squares-of-order-8-representing-days-and-dates-of-the-year-2025\/\">Magic Squares of Order 8 Representing Days and Dates of the Year 2025<\/a>&nbsp;(old site)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Magic Squares of Order 9 Representing Days and Dates of the Year 2025,&nbsp;<strong>Zenodo<\/strong>, May 09, 2025, pp. 1-132,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.15375349\">https:\/\/doi.org\/10.5281\/zenodo.15375349<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=15629\">Magic Squares of Order 9 Representing Days and Dates of the Year 2025<\/a>&nbsp;(new site)<\/li>\n\n\n\n<li>Site Link:&nbsp;<a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/05\/09\/magic-squares-of-order-9-representing-days-and-dates-of-the-year-2025\/\">Magic Squares of Order 9 Representing Days and Dates of the Year 2025<\/a>&nbsp;(old site)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Magic Squares of Order 11 Representing Days and Dates of the Year 2025,&nbsp;<strong>Zenodo<\/strong>, May 31, 2025, pp. 1-94,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.15564676\">https:\/\/doi.org\/10.5281\/zenodo.15564676<\/a>\n<ul class=\"wp-block-list\">\n<li>Site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=15857\"><\/a><a href=\"https:\/\/numbers-magic.com\/?p=15857\">Magic Squares of Order 11 Representing Dates and Days of the Year 2025 (new site)<\/a><\/li>\n\n\n\n<li>Site Link:&nbsp;<a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/05\/31\/magic-squares-of-order-11-representing-dates-and-days-of-the-year-2025\/\">Magic Squares of Order 11 Representing Dates and Days of the Year 2025 (old site)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Magic Squares of Order 12 Representing Days and Dates of the Year 2025&nbsp;<strong>Zenodo<\/strong>, June 10, 2025, pp. 1-43,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.15631884\">https:\/\/doi.org\/10.5281\/zenodo.15631884<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=16068\">Magic Squares of Order 12 Representing Dates and Days of the Year 2025 \u2013 (new site)<\/a><\/li>\n\n\n\n<li>Site Link:&nbsp;<a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/06\/10\/magic-squares-of-order-12-representing-dates-and-days-of-the-year-2025\/\">Magic Squares of Order 12 Representing Dates and Days of the Year 2025 (old site)<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-5cb08c3e721f742133a2b2a90034616c\">Part 2: Revised with Examples<\/h3>\n\n\n\n<ol style=\"background-color:#45c84b4f\" class=\"wp-block-list has-background\">\n<li><strong>Inder J. Taneja<\/strong>, Reduced Entries Magic and Semi-Magic Squares of Orders 3, 5, 7 and 9,&nbsp;<strong>Zenodo<\/strong>, July 01, 2025, pp. 1-65,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.15783321\">https:\/\/doi.org\/10.5281\/zenodo.15783321<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=16158\">Reduced Entries Algebraic Magic Squares of Orders 3, 5, 7 and 9 (new site)<\/a><\/li>\n\n\n\n<li>Site Link:&nbsp;<a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/07\/06\/reduced-entries-algebraic-magic-squares-of-orders-3-5-7-and-9\/\">Reduced Entries Algebraic Magic Squares of Orders 3, 5, 7 and 9 (old site)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Reduced Entries Magic and Semi-Magic Squares of Orders 4, 6, 8 and 10, <strong>Zenodo<\/strong>, July 05, 2025, pp. 1-85,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.15814675\">https:\/\/doi.org\/10.5281\/zenodo.15814675<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=16282\">Reduced Entries Algebraic Magic Squares of Orders 4, 6, 8 and 10 (new site)<\/a><\/li>\n\n\n\n<li>Site Link:&nbsp;<a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/07\/07\/reduced-entries-algebraic-magic-squares-of-orders-4-6-8-and-10\/\">Reduced Entries Algebraic Magic Squares of Orders 4, 6, 8 and 10 (olde site)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Reduced Entries Algebraic Semi-Magic Squares of Order 12, <strong>Zenodo<\/strong>, July 23, 2025, pp. 1-60,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.15692014\">https:\/\/doi.org\/10.5281\/zenodo.15692014<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=16447\">Reduced Entries Algebraic Semi-Magic Squares of Order 12 (new site)<\/a><\/li>\n\n\n\n<li>Site Link:&nbsp;<a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/07\/24\/reduced-entries-algebraic-semi-magic-squares-of-order-12\/\">Reduced Entries Algebraic Semi-Magic Squares of Order 12 (old site)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>&nbsp;\u2013 Reduced Entries Algebraic Pandiagonal Magic Squares of Orders 4 to 8,&nbsp;<strong>Zenodo<\/strong>, August 12, 2025, pp. 1-63,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.16809756\">https:\/\/doi.org\/10.5281\/zenodo.16809756<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link:&nbsp;<a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/08\/09\/reduced-entries-algebraic-pandiagonal-magic-squares-of-orders-4-to-8\/\">Reduced Entries Algebraic Pandiagonal Magic Squares of Orders 4 to 8 (new site)<\/a><\/li>\n\n\n\n<li>Site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=16523\">Reduced Entries Algebraic Pandiagonal Magic Squares of Orders 4 to 8 (old site)<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Self-Made Algebraic Magic, Semi-Magic and Pandiagonal Magic Squares of Order 9, <strong>Zenodo<\/strong>, August 27, 2025, pp. 1-92,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.16955571\">https:\/\/doi.org\/10.5281\/zenodo.16955571<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link:&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=16572\">Self-Made Algebraic Magic, Semi-Magic and Pandiagonal Magic Squares of Order 9 (new site).<\/a><\/li>\n\n\n\n<li>Site Link:&nbsp;<a href=\"https:\/\/inderjtaneja.wordpress.com\/2025\/08\/27\/self-made-algebraic-magic-semi-magic-and-pandiagonal-magic-squares-of-order-9\/\">Self-Made Algebraic Magic, Semi-Magic and Pandiagonal Magic Squares of Order 9 (old site)<\/a>.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-b9c52d0a51dcdbcef1cb6340d53986ea\">References: Recreating Numbers <\/h3>\n\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background\">\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<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>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<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>,&nbsp;<a href=\"https:\/\/numbers-magic.com\/?p=11640\">Multiple Choices for Crazy Representations of Natural Numbers<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<a href=\"https:\/\/zenodo.org\/records\/3597506\"><\/a><a href=\"https:\/\/zenodo.org\/records\/10633471\">Multiple Representations of Selfie Numbers \u2013 I (zenodo.org)<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Semi-Selfie Numbers<\/em>,&nbsp;<strong>Zenodo<\/strong>, February 12, 2019, pp. 1-394, <a href=\"http:\/\/doi.org\/10.5281\/zenodo.2562390\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2562390<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Power-Type Semi-Selfie Numbers and Patterns<\/em>,&nbsp;<strong>Zenodo<\/strong>, July 16, 2019, pp. 1-130, <a href=\"http:\/\/doi.org\/10.5281\/zenodo.3338366\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.3338366<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Patterns in Selfie and Semi-Selfie Numbers<\/em>,&nbsp;<strong>Zenodo<\/strong>, February 6, 2019, pp. 1-51,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.2563202\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2563202<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Single Digit Representations of Natural Numbers<\/em>, Feb. 1015, pp.1-55,&nbsp; <a href=\"http:\/\/arxiv.org\/abs\/1502.03501\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/arxiv.org\/abs\/1502.03501<\/a>.<br>Site link:&nbsp;<a href=\"https:\/\/inderjtaneja.wordpress.com\/2019\/01\/01\/single-letter-representations-of-numbers-from-1-to-20000\/\">Single Digits Representations of Numbers from 1 to 20000<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Single Digit Representations of Natural Numbers From 1 to 5000,<\/em>&nbsp;<strong>Zenodo<\/strong>, January 14, 2019,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.2538893\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2538893<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Patterned Selfie Fractions<\/em>,&nbsp;<strong>Zenodo<\/strong>, October 27, 2019, pp. 1-267, <a href=\"http:\/\/doi.org\/10.5281\/zenodo.3520096\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.3520096<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Fixed Digits Repetitions Prime Patterns of Lengths 10, 9 and 8,&nbsp;<\/em><strong>Zenodo<\/strong>, February 8, 2019, pp. 1-175,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.2560640\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2560640<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Fixed Digits Repetitions Prime Patterns of Length 7<\/em>,&nbsp;<strong>Zenodo<\/strong>, February 8, 2019, pp. 1-176,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.2560668\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2560668<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Fixed Digits Repetitions Prime Patterns of Length 6<\/em>.&nbsp;<strong>Zenodo<\/strong>, February 9, 2019, pp. 1-303,<a href=\"http:\/\/doi.org\/10.5281\/zenodo.2561096\" target=\"_blank\" rel=\"noreferrer noopener\">&nbsp;http:\/\/doi.org\/10.5281\/zenodo.2561096<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Crazy Running Equality Expressions With Factorial and Square-Root<\/em>, <strong>Zenodo<\/strong>, December 06, 2021, pp. 1-464, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.5761752\">https:\/\/doi.org\/10.5281\/zenodo.5761752<\/a><\/li>\n<\/ul>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>References Part 1: Representing Days and Date Part 2: Revised with Examples References: Recreating Numbers<\/p>\n","protected":false},"author":1,"featured_media":16848,"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-16847","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\/2025\/10\/day-304-3110.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/16847","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=16847"}],"version-history":[{"count":1,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/16847\/revisions"}],"predecessor-version":[{"id":16849,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/16847\/revisions\/16849"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/16848"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=16847"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=16847"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=16847"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}