{"id":13751,"date":"2024-12-22T15:30:19","date_gmt":"2024-12-22T18:30:19","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=13751"},"modified":"2024-12-24T14:26:15","modified_gmt":"2024-12-24T17:26:15","slug":"numbers-and-magic-squares-representations-of-hardy-ramanujan-number-1729-part-2","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=13751","title":{"rendered":"Numbers and Magic Squares Representations of Hardy-Ramanujan Number-1729 \u2013 Part 2"},"content":{"rendered":"\n<h3 class=\"wp-block-heading has-text-align-right has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-fc798738aa851d22348a6dbcb8c9cbf3\">137th Birth Anniversary of S. Ramanujan,<br>December 22, 1887-April 26, 1920<\/h3>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-right has-vivid-purple-color has-text-color has-link-color wp-elements-054c3950117695baa11a47d5eb42c129\">National Mathematics Day, India &#8211; December 22<\/h3>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(2,3,129) 0%,rgb(255,255,255) 58%,rgb(40,116,252) 100%)\">Part 1: <a href=\"https:\/\/numbers-magic.com\/?p=149\">Recreation of Number on 1729<\/a><br>Part 2: Magic Square<\/h3>\n\n\n\n<p class=\"has-text-align-justify has-background\" style=\"background:linear-gradient(135deg,rgb(122,220,180) 0%,rgb(255,255,255) 47%,rgb(0,208,130) 100%)\"><strong>Part 1. <\/strong>This part brings representations of 1729, a famous&nbsp;<strong>Hardy-Ramanujan number<\/strong>&nbsp;in different situations. These representations are of&nbsp;<strong>crazy-type, single digit, single letter, Selfie-type, running expressions, selfie fractions, equivalent fractions, Triangular, Fibonacci, fixed digits repetitions prime numbers patterns , Pythagorean triples, palindromic-type, polygonal-type, prime numbers, embedded, repeated, etc.&nbsp;<\/strong>Ideas toward&nbsp;<strong>magic squares<\/strong>&nbsp;are also extended. Some quotes and historical notes on Ramanujan\u2019s life are also specified.<\/p>\n\n\n\n<p class=\"has-text-align-justify has-background\" style=\"background:linear-gradient(135deg,rgb(122,220,180) 0%,rgb(255,255,255) 47%,rgb(0,208,130) 100%)\"><strong>Part 2.<\/strong> This work brings <strong>magic squares<\/strong> connected with S. Ramanujan&#8217;s life and with Hardy-Ramanujan number 1729. There are three different types of <strong>magic squares<\/strong>. The <strong>first type<\/strong> is based on some historical years of S. Ramanujan&#8217;s life. The <strong>second type<\/strong> is with magic sum as 1729. In this case the magic squares constructed are of orders 7, 13, 14 and 19. The <strong>third type<\/strong> is magic squares based on <strong>Pythagorean tripes<\/strong> where the number 1729 is one the entry. In this case the magic squares constructed are of orders 6, 7, 11 and 19.<\/p>\n\n\n\n<p class=\"has-text-align-justify has-background\" style=\"background:linear-gradient(135deg,rgb(122,220,180) 0%,rgb(255,255,255) 47%,rgb(0,208,130) 100%)\">It is revised and extended version of author\u2019s&nbsp;<a href=\"https:\/\/inderjtaneja.com\/2017\/07\/29\/hardy-ramanujan-number-1729-july-29-17\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>previos work.<\/strong><\/a>  Below is a link of this work for download. <\/p>\n\n\n\n<ul style=\"background:linear-gradient(135deg,rgb(255,206,236) 0%,rgb(255,255,255) 42%,rgb(152,150,240) 100%)\" class=\"wp-block-list has-background\">\n<li><strong>Inder J. Taneja<\/strong>, Numbers and Magic Squares Representations of Hardy-Ramanujan Number-1729, <strong>Zenodo<\/strong>, December 20, 2024, pp. 1-127, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.14538297\">https:\/\/doi.org\/10.5281\/zenodo.14538297<\/a>\n<ul class=\"wp-block-list\">\n<li>Site links:\n<ul class=\"wp-block-list\">\n<li>Part 1: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2021\/12\/25\/hardy-ramanujan-number-1729-revised\/\">Numbers and Magic Squares Representations of Hardy-Ramanujan Number-1729 \u2013 Part 1<\/a> (old site)<br>Part 1: <a href=\"https:\/\/numbers-magic.com\/?p=149\">Numbers and Magic Squares Representations of Hardy-Ramanujan Number-1729 \u2013 Part 1<\/a> (new site)<\/li>\n\n\n\n<li>Part 2: <a href=\"https:\/\/inderjtaneja.wordpress.com\/2024\/12\/24\/numbers-and-magic-squares-representations-of-hardy-ramanujan-number-1729-part-2\/\">Numbers and Magic Squares Representations of Hardy-Ramanujan Number-1729 \u2013 Part 2 <\/a> (old site)<br>Part 2: <a href=\"https:\/\/numbers-magic.com\/?p=13751\">Numbers and Magic Squares Representations of Hardy-Ramanujan Number-1729 \u2013 Part 2<\/a> (new site)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(2,3,129) 0%,rgb(255,255,255) 58%,rgb(40,116,252) 100%)\">Part 2: Magic Square<\/h3>\n\n\n\n<p class=\"has-text-align-justify has-background\" style=\"background:linear-gradient(135deg,rgb(122,220,180) 0%,rgb(255,255,255) 47%,rgb(0,208,130) 100%)\">Below are the itens that we worked with <strong>magic squares<\/strong> on Hardy Ramanujan Number-1729<\/p>\n\n\n\n<ol style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 69%,rgb(255,105,0) 100%)\" class=\"wp-block-list has-background\">\n<li><strong>Magic Squared On Ramanujan\u2019s Life Numbers<\/strong>\n<ul class=\"wp-block-list\">\n<li>Hardy-Ramanujan Number-1729: Magic Squares of Order 4<\/li>\n\n\n\n<li>Magic Squares of Order 4<\/li>\n\n\n\n<li>Magic Squares of Order 5<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Magic Squares with Magic Sum 1729<\/strong>\n<ul class=\"wp-block-list\">\n<li>Magic Squares of Order 7<\/li>\n\n\n\n<li>Magic Squares of Order 13<\/li>\n\n\n\n<li>Magic Squares of Order 14<\/li>\n\n\n\n<li>Magic Squares of Order 19<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Pythagorean Triples and with Entry 1729<\/strong>\n<ul class=\"wp-block-list\">\n<li>Magic Squares of Order 6<\/li>\n\n\n\n<li>Magic Squares of Order 7<\/li>\n\n\n\n<li>Magic Squares of Order 11<\/li>\n\n\n\n<li>Magic Squares of Order 19<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>References<\/strong><\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(2,3,129) 0%,rgb(255,255,255) 58%,rgb(40,116,252) 100%)\">Magic Squared On Ramanujan&#8217;s Life Numbers<\/h3>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-vivid-purple-color has-text-color has-link-color wp-elements-ff1faed5be7e72fdc988e14c63567dac\">Hardy-Ramanujan Number-1729: Magic Squares of Order 4<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1251\" height=\"752\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-00.png\" alt=\"\" class=\"wp-image-13957\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-00.png 1251w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-00-300x180.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-00-1024x616.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-00-768x462.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-00-535x322.png 535w\" sizes=\"(max-width: 1251px) 100vw, 1251px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-vivid-purple-color has-text-color has-link-color wp-elements-c10f2aa9e4b09f6ae3c1e2d4f3c02954\">Magic Squares of Order 4<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" width=\"1253\" height=\"593\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-02-2.png\" alt=\"\" class=\"wp-image-13671\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-02-2.png 1253w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-02-2-300x142.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-02-2-1024x485.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-02-2-768x363.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-02-2-535x253.png 535w\" sizes=\"(max-width: 1253px) 100vw, 1253px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" width=\"1247\" height=\"865\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-03-2.png\" alt=\"\" class=\"wp-image-13672\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-03-2.png 1247w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-03-2-300x208.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-03-2-1024x710.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-03-2-768x533.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-03-2-535x371.png 535w\" sizes=\"(max-width: 1247px) 100vw, 1247px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1251\" height=\"707\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-04-2.png\" alt=\"\" class=\"wp-image-13673\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-04-2.png 1251w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-04-2-300x170.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-04-2-1024x579.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-04-2-768x434.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-04-2-535x302.png 535w\" sizes=\"(max-width: 1251px) 100vw, 1251px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1249\" height=\"884\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-05-2.png\" alt=\"\" class=\"wp-image-13674\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-05-2.png 1249w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-05-2-300x212.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-05-2-1024x725.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-05-2-768x544.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-05-2-535x379.png 535w\" sizes=\"(max-width: 1249px) 100vw, 1249px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-vivid-purple-color has-text-color has-link-color wp-elements-7e7a3df01d0ab40367d8e88fa2e04f78\">Magic Squares of Order 5<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1250\" height=\"961\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-06-2.png\" alt=\"\" class=\"wp-image-13675\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-06-2.png 1250w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-06-2-300x231.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-06-2-1024x787.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-06-2-768x590.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2021\/12\/1729-06-2-535x411.png 535w\" sizes=\"(max-width: 1250px) 100vw, 1250px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(2,3,129) 0%,rgb(255,255,255) 58%,rgb(40,116,252) 100%)\">Magic Squares with Magic Sum 1729<\/h3>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-vivid-purple-color has-text-color has-link-color wp-elements-8410b85451e5a59babe0ed20f070f745\">Magic Squares of Order 7<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1250\" height=\"1264\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-65.png\" alt=\"\" class=\"wp-image-13920\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-65.png 1250w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-65-297x300.png 297w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-65-1013x1024.png 1013w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-65-768x777.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-65-535x541.png 535w\" sizes=\"(max-width: 1250px) 100vw, 1250px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-vivid-purple-color has-text-color has-link-color wp-elements-18f495e6cb0618b692828bf98210fd2c\">Magic Squares of Order 13<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1249\" height=\"999\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-66.png\" alt=\"\" class=\"wp-image-13921\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-66.png 1249w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-66-300x240.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-66-1024x819.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-66-768x614.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-66-535x428.png 535w\" sizes=\"(max-width: 1249px) 100vw, 1249px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1250\" height=\"969\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-67.png\" alt=\"\" class=\"wp-image-13922\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-67.png 1250w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-67-300x233.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-67-1024x794.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-67-768x595.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-67-535x415.png 535w\" sizes=\"(max-width: 1250px) 100vw, 1250px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1249\" height=\"968\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-68.png\" alt=\"\" class=\"wp-image-13923\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-68.png 1249w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-68-300x233.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-68-1024x794.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-68-768x595.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-68-535x415.png 535w\" sizes=\"(max-width: 1249px) 100vw, 1249px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1250\" height=\"997\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-69.png\" alt=\"\" class=\"wp-image-13924\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-69.png 1250w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-69-300x239.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-69-1024x817.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-69-768x613.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-69-535x427.png 535w\" sizes=\"(max-width: 1250px) 100vw, 1250px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-vivid-purple-color has-text-color has-link-color wp-elements-debed51f8433523dc15c39de345853d1\">Magic Squares of Order 14<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1252\" height=\"1026\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-70.png\" alt=\"\" class=\"wp-image-13925\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-70.png 1252w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-70-300x246.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-70-1024x839.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-70-768x629.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-70-535x438.png 535w\" sizes=\"(max-width: 1252px) 100vw, 1252px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1252\" height=\"1026\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-71.png\" alt=\"\" class=\"wp-image-13926\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-71.png 1252w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-71-300x246.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-71-1024x839.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-71-768x629.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-71-535x438.png 535w\" sizes=\"(max-width: 1252px) 100vw, 1252px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1249\" height=\"1059\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-72.png\" alt=\"\" class=\"wp-image-13927\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-72.png 1249w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-72-300x254.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-72-1024x868.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-72-768x651.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-72-535x454.png 535w\" sizes=\"(max-width: 1249px) 100vw, 1249px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1249\" height=\"1056\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-73.png\" alt=\"\" class=\"wp-image-13928\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-73.png 1249w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-73-300x254.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-73-1024x866.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-73-768x649.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-73-535x452.png 535w\" sizes=\"(max-width: 1249px) 100vw, 1249px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-vivid-purple-color has-text-color has-link-color wp-elements-6ffc5883cf1b8564445b584619bbba41\">Magic Squares of Order 19<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1253\" height=\"1220\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-74.png\" alt=\"\" class=\"wp-image-13929\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-74.png 1253w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-74-300x292.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-74-1024x997.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-74-768x748.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-74-535x521.png 535w\" sizes=\"(max-width: 1253px) 100vw, 1253px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1248\" height=\"1221\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-75.png\" alt=\"\" class=\"wp-image-13930\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-75.png 1248w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-75-300x294.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-75-1024x1002.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-75-768x751.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-75-535x523.png 535w\" sizes=\"(max-width: 1248px) 100vw, 1248px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1250\" height=\"1223\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-76.png\" alt=\"\" class=\"wp-image-13931\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-76.png 1250w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-76-300x294.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-76-1024x1002.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-76-768x751.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-76-535x523.png 535w\" sizes=\"(max-width: 1250px) 100vw, 1250px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1247\" height=\"1291\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-78.png\" alt=\"\" class=\"wp-image-13932\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-78.png 1247w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-78-290x300.png 290w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-78-989x1024.png 989w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-78-768x795.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-78-535x554.png 535w\" sizes=\"(max-width: 1247px) 100vw, 1247px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(2,3,129) 0%,rgb(255,255,255) 58%,rgb(40,116,252) 100%)\">Pythagorean Triples and with Entry 1729<\/h3>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-vivid-purple-color has-text-color has-link-color wp-elements-98786844c4a6bb08df90c289979f1c0d\">Magic Squares of Order 6<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1248\" height=\"811\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-79.png\" alt=\"\" class=\"wp-image-13933\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-79.png 1248w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-79-300x195.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-79-1024x665.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-79-768x499.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-79-535x348.png 535w\" sizes=\"(max-width: 1248px) 100vw, 1248px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1249\" height=\"807\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-80.png\" alt=\"\" class=\"wp-image-13934\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-80.png 1249w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-80-300x194.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-80-1024x662.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-80-768x496.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-80-535x346.png 535w\" sizes=\"(max-width: 1249px) 100vw, 1249px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-vivid-purple-color has-text-color has-link-color wp-elements-8410b85451e5a59babe0ed20f070f745\">Magic Squares of Order 7<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1252\" height=\"1353\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-82.png\" alt=\"\" class=\"wp-image-13936\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-82.png 1252w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-82-278x300.png 278w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-82-948x1024.png 948w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-82-768x830.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-82-535x578.png 535w\" sizes=\"(max-width: 1252px) 100vw, 1252px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-vivid-purple-color has-text-color has-link-color wp-elements-57e43bc76271a6481a8d6af48211b2c1\">Magic Squares of Order 11<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1248\" height=\"1060\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-83.png\" alt=\"\" class=\"wp-image-13937\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-83.png 1248w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-83-300x255.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-83-1024x870.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-83-768x652.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-83-535x454.png 535w\" sizes=\"(max-width: 1248px) 100vw, 1248px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1252\" height=\"1063\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-84.png\" alt=\"\" class=\"wp-image-13939\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-84.png 1252w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-84-300x255.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-84-1024x869.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-84-768x652.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-84-535x454.png 535w\" sizes=\"(max-width: 1252px) 100vw, 1252px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1249\" height=\"1096\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-85.png\" alt=\"\" class=\"wp-image-13940\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-85.png 1249w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-85-300x263.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-85-1024x899.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-85-768x674.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-85-535x469.png 535w\" sizes=\"(max-width: 1249px) 100vw, 1249px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1249\" height=\"1066\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-86.png\" alt=\"\" class=\"wp-image-13941\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-86.png 1249w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-86-300x256.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-86-1024x874.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-86-768x655.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-86-535x457.png 535w\" sizes=\"(max-width: 1249px) 100vw, 1249px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1249\" height=\"1061\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-87.png\" alt=\"\" class=\"wp-image-13942\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-87.png 1249w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-87-300x255.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-87-1024x870.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-87-768x652.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-87-535x454.png 535w\" sizes=\"(max-width: 1249px) 100vw, 1249px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-vivid-purple-color has-text-color has-link-color wp-elements-6ffc5883cf1b8564445b584619bbba41\">Magic Squares of Order 19<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1250\" height=\"1313\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-88.png\" alt=\"\" class=\"wp-image-13944\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-88.png 1250w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-88-286x300.png 286w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-88-975x1024.png 975w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-88-768x807.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-88-535x562.png 535w\" sizes=\"(max-width: 1250px) 100vw, 1250px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1249\" height=\"1346\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-89.png\" alt=\"\" class=\"wp-image-13943\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-89.png 1249w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-89-278x300.png 278w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-89-950x1024.png 950w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-89-768x828.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-89-535x577.png 535w\" sizes=\"(max-width: 1249px) 100vw, 1249px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1248\" height=\"1313\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-90.png\" alt=\"\" class=\"wp-image-13945\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-90.png 1248w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-90-285x300.png 285w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-90-973x1024.png 973w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-90-768x808.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-90-535x563.png 535w\" sizes=\"(max-width: 1248px) 100vw, 1248px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1248\" height=\"1314\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-91.png\" alt=\"\" class=\"wp-image-13946\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-91.png 1248w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-91-285x300.png 285w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-91-973x1024.png 973w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-91-768x809.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/1729-91-535x563.png 535w\" sizes=\"(max-width: 1248px) 100vw, 1248px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading has-text-align-left has-vivid-purple-color has-text-color has-link-color wp-elements-eaf1fa01d27fbeb5a5a41033484de385\">References:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Inder J. Taneja<\/strong>, Block-Wise Magic and Bimagic Squares of Orders 12 to 36, <strong>Zenodo<\/strong>, February 1, 2019, pp. 1-53, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.2555343\">https:\/\/doi.org\/10.5281\/zenodo.2555343<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Block-Wise and Block-Bordered Magic and Bimagic Squares of Orders 10 to 47. <strong>Zenodo<\/strong>, January 14, 2021, pp. 1-185, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.4437783\">https:\/\/doi.org\/10.5281\/zenodo.4437783<\/a><\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Block-Bordered Magic Squares of Prime and Double Prime Numbers \u2013 I, <strong>Zenodo<\/strong>, August 18, 2020, pp. 1-81, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.3990291\">https:\/\/doi.org\/10.5281\/zenodo.3990291<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares with Order Square Magic Sums, <strong>Zenodo<\/strong>, January 20, 2020, pp. 1-26, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.3613690\">https:\/\/doi.org\/10.5281\/zenodo.3613690<\/a>.<\/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, <strong>Zenodo<\/strong>, August 09, 2023, pp. 1-30, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8230214\">https:\/\/doi.org\/10.5281\/zenodo.8230214<\/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, <strong>Zenodo<\/strong>, August 09, 2023, pp. 1-27, https:\/\/doi.org\/10.5281\/zenodo.8231157.<\/li>\n\n\n\n<li>Inder J. Taneja, Striped Magic Squares of Even Orders 6, 8, 10, 12 and 14, <strong>Zenodo<\/strong>, November 10, 2023, pp. 1-34, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.10107355\">https:\/\/doi.org\/10.5281\/zenodo.10107355<\/a>.<\/li>\n\n\n\n<li>Inder J. Taneja, Figured Magic Squares of Orders 6, 10, 12, 14 and 16 Using Bordered Magic Rectangles: A Systematic Procedure, <strong>Zenodo<\/strong>, November 29, 2022, pp. 1-31, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.7377674\">https:\/\/doi.org\/10.5281\/zenodo.7377674<\/a>.<\/li>\n\n\n\n<li>Inder J. Taneja, Inder J. Taneja, Generating Pythagorean Triples and Magic Squares: Orders 3 to 31, <strong>Zenodo<\/strong>, May 28, 2021, pp. 1-153, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.4837491\">https:\/\/doi.org\/10.5281\/zenodo.4837491<\/a>.<\/li>\n\n\n\n<li>Inder J. Taneja, Sequential Pythagorean Triples and Perfect Square Sum Magic Squares, <strong>Zenodo<\/strong>, June 21, 2021, pp. 1-595, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.5009204\">https:\/\/doi.org\/10.5281\/zenodo.5009204<\/a>.<\/li>\n\n\n\n<li>Inder J. Taneja, Representations of Hardy-Ramanujan Number-1729, <strong>Zenodo<\/strong>, December 18, 2024, pp. 1-65, <a href=\"http:\/\/doi.org\/10.5281\/zenodo.14511547\">http:\/\/doi.org\/10.5281\/zenodo.14511547<\/a>.<\/li>\n\n\n\n<li>Inder J. Taneja, Magic Squares and Hardy-Ramanujan Number-1729, <strong>Zenodo<\/strong>, December 18, 2024, pp. 1-21, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.14511561\">https:\/\/doi.org\/10.5281\/zenodo.14511561<\/a>.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>137th Birth Anniversary of S. Ramanujan,December 22, 1887-April 26, 1920 National Mathematics Day, India &#8211; December 22 Part 1: Recreation of Number on 1729Part 2: Magic Square Part 1. This part brings representations of 1729, a famous&nbsp;Hardy-Ramanujan number&nbsp;in different situations. These representations are of&nbsp;crazy-type, single digit, single letter, Selfie-type, running expressions, selfie fractions, equivalent fractions, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":13752,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[7,3],"tags":[],"class_list":["post-13751","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-curiosities","category-magic-squares"],"jetpack_featured_media_url":"https:\/\/numbers-magic.com\/wp-content\/uploads\/2024\/12\/11x11-1729-4.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/13751","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=13751"}],"version-history":[{"count":12,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/13751\/revisions"}],"predecessor-version":[{"id":13983,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/13751\/revisions\/13983"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/13752"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13751"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13751"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13751"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}