{"id":2439,"date":"2022-06-24T13:14:22","date_gmt":"2022-06-24T16:14:22","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=2439"},"modified":"2022-06-24T17:31:01","modified_gmt":"2022-06-24T20:31:01","slug":"pythagorean-triples-generating-pandigital-palindromic-type-patterns-and-magic-squares","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=2439","title":{"rendered":"Pythagorean Triples Generating Pandigital Palindromic-Type Patterns and Magic&nbsp;Squares"},"content":{"rendered":"\n<p class=\"has-text-align-justify wp-block-paragraph\">This work is na extension of the author\u2019s&nbsp;<a href=\"http:\/\/bit.ly\/2O84AcU\" target=\"_blank\" rel=\"noreferrer noopener\">previous work<\/a>. In this work, examples of magic Squares are extended to order 20. Also, another group of Pandigital Palindromic-Type Pythagorean Patterns are obtained. Study to general patterns is also extended.&nbsp;Below are a few examples of this extended work:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/inderjtaneja.files.wordpress.com\/2018\/09\/ppm1.png?w=863\" alt=\"PPM1\" class=\"wp-image-2603\"\/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/inderjtaneja.files.wordpress.com\/2018\/09\/ppm2.png?w=863\" alt=\"PPM2\" class=\"wp-image-2604\"\/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/inderjtaneja.files.wordpress.com\/2018\/09\/ppm3.png?w=863\" alt=\"PPM3\" class=\"wp-image-2605\"\/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/inderjtaneja.files.wordpress.com\/2018\/09\/ppm4.png?w=863\" alt=\"PPM4\" class=\"wp-image-2606\"\/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/inderjtaneja.files.wordpress.com\/2018\/09\/ppm5.png?w=863\" alt=\"PPM5\" class=\"wp-image-2607\"\/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/inderjtaneja.files.wordpress.com\/2018\/09\/ppm6.png?w=863\" alt=\"PPM6\" class=\"wp-image-2608\"\/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/inderjtaneja.files.wordpress.com\/2018\/09\/ppm7.png?w=863\" alt=\"PPM7\" class=\"wp-image-2609\"\/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/inderjtaneja.files.wordpress.com\/2018\/09\/ppm8.png?w=863\" alt=\"PPM8\" class=\"wp-image-2610\"\/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/inderjtaneja.files.wordpress.com\/2018\/09\/ppm9.png?w=863\" alt=\"PPM9\" class=\"wp-image-2611\"\/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Links of previous and atual of work for download<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>I.J TANEJA \u2013Generating Pythagorean Triples, Palindromic-Type Pandigital Patterns, and Magic Squares,&nbsp;<a href=\"http:\/\/bit.ly\/2sDrUGY\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2544555<\/a><\/li><li>I.J TANEJA \u2013&nbsp;<a href=\"http:\/\/bit.ly\/2N0wrPr\" target=\"_blank\" rel=\"noreferrer noopener\">Generating Pythagorean Triples, Patterns, and Magic Squares.<\/a><\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">For more work on magic Squares generated by Pythagorean triples \u2013 see the link below:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li><a href=\"http:\/\/bit.ly\/2OFgjAX\" target=\"_blank\" rel=\"noreferrer noopener\">Pythagorean Triples and Perfect Square Sum Magic Squares<\/a><\/li><li><a href=\"http:\/\/bit.ly\/2LTblD3\" target=\"_blank\" rel=\"noreferrer noopener\">Palindromic-Type Pandigital Patterns in Pythagorean Triples \u2013 I<\/a><\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Also see the following work on Pythagorean triples:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>I.J. Taneja \u2013 Multiple-Type Pythagorean Patterns,&nbsp;<a href=\"http:\/\/bit.ly\/2FCjIPC\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2544527&nbsp;<\/a><\/li><li>I.J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures,&nbsp;<a href=\"http:\/\/bit.ly\/2T2aPly\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2544519<\/a><\/li><li>I.J. Taneja, Palindromic-Type Pandigital Patterns in Pythagorean Triples,&nbsp;&nbsp;<a href=\"http:\/\/bit.ly\/2Dlqua2\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2544551<\/a><\/li><\/ol>\n","protected":false},"excerpt":{"rendered":"<p>This work is na extension of the author\u2019s&nbsp;previous work. In this work, examples of magic Squares are extended to order 20. Also, another group of Pandigital Palindromic-Type Pythagorean Patterns are obtained. Study to general patterns is also extended.&nbsp;Below are a few examples of this extended work: Links of previous and atual of work for download [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2440,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[3,10],"tags":[],"class_list":["post-2439","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-magic-squares","category-pythagorean-triples"],"jetpack_featured_media_url":"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/06\/PG7.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/2439","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=2439"}],"version-history":[{"count":3,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/2439\/revisions"}],"predecessor-version":[{"id":2443,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/2439\/revisions\/2443"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/2440"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2439"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2439"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2439"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}