{"id":9406,"date":"2023-06-15T18:34:35","date_gmt":"2023-06-15T21:34:35","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=9406"},"modified":"2023-08-07T17:46:12","modified_gmt":"2023-08-07T20:46:12","slug":"even-order-double-digits-bordered-magic-squares","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=9406","title":{"rendered":"Double Digits Even and Odd Orders Bordered Magic Squares"},"content":{"rendered":"\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 36%,rgb(255,105,0) 100%)\">Double Digits Bordered Magic Squares: <br><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">Even Number Orders<\/mark><\/h3>\n\n\n\n<ul class=\"has-blush-light-purple-gradient-background has-background wp-block-list\">\n<li>The work for order of type 4k, k=2, 3, &#8230; i.e., for orders 8, 12, 16, 20, 24, 28, 32, 36 and 40:<br>\n<ul class=\"wp-block-list\">\n<li>Inder J. Taneja, Two Digits Bordered Magic Squares Multiples of 4: Orders 8 to 24, <strong>Zenodo<\/strong>, April 26, 2023, pp. 1-43, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.7866956\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.7866956<\/a>.<br>Site Link: <a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=8493\" target=\"_blank\">Two Digits Bordered Magic Squares Multiples of 4: Orders 8 to 24 .<\/a><br><\/li>\n\n\n\n<li>Inder J. Taneja, Two Digits Bordered Magic Squares of Orders 28 and 32, <strong>Zenodo<\/strong>, April 26, 2023, pp. 1-36, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.7866981\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.7866981<\/a>.<br>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=8551\">Two Digits Bordered Magic Squares of Orders 28 and 32<\/a>.<br><\/li>\n\n\n\n<li>Inder J. Taneja, Two Digits Bordered Magic Squares of Orders 36 and 40, <strong>Zenodo<\/strong>, May 04, 2023, pp. 1-41, <a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.5281\/zenodo.7896709\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.7896709<\/a>.<br>Site Links: <br>1. <a href=\"https:\/\/numbers-magic.com\/?p=8669\">Two digits Bordered Magic Squares of Order 36<\/a>.<br>2. <a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=8687\" target=\"_blank\">Two digits Bordered Magic Squares of Order 40<\/a><a href=\"https:\/\/numbers-magic.com\/?p=8687\" target=\"_blank\" rel=\"noreferrer noopener\">.<\/a><a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=8687\" target=\"_blank\"> <\/a><br><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>The work is for the order of type 4k+2, k=2, 3, &#8230;, i.e., for the orders 10, 14, 18, 22, 26, 30, 34 and 38:<br>\n<ul class=\"wp-block-list\">\n<li>Inder J. Taneja, Two Digits Bordered Magic Squares of Orders 10, 14, 18 and 22, <strong>Zenodo<\/strong>, April 30, 2023, pp. 1-43, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.7880931\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.7880931<\/a>. <br>Site Link: <a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=8493\" target=\"_blank\"><a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=8583\" target=\"_blank\">Two digits Bordered Magic Squares of Orders 10, 14, 18 and 22<\/a>.<\/a><br><\/li>\n\n\n\n<li>Inder J. Taneja, Two Digits Bordered Magic Squares of Orders 26 and 30, <strong>Zenodo<\/strong>, April 30, 2023, pp. 1-45, https:\/\/doi.org\/10.5281\/zenodo.7880937.<br>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=8551\"><a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=8583\" target=\"_blank\"><a href=\"https:\/\/numbers-magic.com\/?p=8629\">Two digits Bordered Magic Squares of Orders 26 and 30<\/a>.<\/a><\/a><br><\/li>\n\n\n\n<li>Inder J. Taneja, Two digits Bordered Magic Squares of Orders 34 and 38, <strong>Zenodo<\/strong>, May 10, 2023, pp. 1-45, <a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.5281\/zenodo.7922571\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.7922571<\/a>.<br>Site Links:<br>1. <a href=\"https:\/\/numbers-magic.com\/?p=8669\"><\/a><a href=\"https:\/\/numbers-magic.com\/?p=8838\">Two digits Bordered Magic Squares of Order 34<\/a>.<br>2. <a href=\"https:\/\/numbers-magic.com\/?p=8856\">Two digits Bordered Magic Squares of Order 38<\/a><a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=8856\" target=\"_blank\">.<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 36%,rgb(255,105,0) 100%)\">Double Digits Bordered Magic Squares:<br><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">Odd Number Orders<\/mark><\/h3>\n\n\n\n<ul class=\"has-blush-light-purple-gradient-background has-background wp-block-list\">\n<li>The work for double digits odd order bordered magic squares:<br>For the previous work on&nbsp;<strong>odd orders from 3 to 31<\/strong>&nbsp;see the following links:<br>\n\n\n\n\n<ul class=\"wp-block-list\">\n<li>Inder J. Taneja, Odd Order Magic Squares: Orders 3 to 15, Zenodo, June 15, 2023, pp. 1-43, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8043030\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8043030<\/a>.<br>Site Link: <a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=9215\" target=\"_blank\">Odd Order Magic Squares: Orders 3 to 15<\/a><br><\/li>\n\n\n\n<li>Inder J. Taneja, Magic Squares of Orders 17 and 19, Zenodo, June 15, 2023, pp. 1-38, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8043105\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8043105<\/a>.<br>Site Link: <a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=9274\" target=\"_blank\">Magic Squares of Orders 17 and 19<\/a><br><\/li>\n\n\n\n<li>Inder J. Taneja, Magic Squares of Orders 21 and 23, Zenodo, June 15, 2023, pp. 1-43, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8043198\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8043198<\/a>.<br>Site Links: <a href=\"https:\/\/numbers-magic.com\/?p=9326\">Magic Squares of Order 21<\/a>. <br><\/li>\n\n\n\n<li>Inder J. Taneja, Magic Squares of Orders 21 and 23, Zenodo, June 15, 2023, pp. 1-43, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8043198\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8043198<\/a>.<br>Site Links: <a href=\"https:\/\/numbers-magic.com\/?p=9349\">Magic Squares of Order 23<\/a>.<br><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Inder J. Taneja, Magic Squares of Order 25, Zenodo, June 15, 2023, pp. 1-27, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8043228\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8043228<\/a>.<br>Site Links: <a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=9373\" target=\"_blank\">Magic Squares of Order 25<\/a>.<br><\/li>\n\n\n\n<li>Inder J. Taneja, Magic Squares of Order 27, Zenodo, August 06, 2023, pp. 1-32, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8218291\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8218291<\/a>.<br>Site Links: <a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=9444\" target=\"_blank\">Magic Squares of Order 27.<\/a><br><\/li>\n\n\n\n<li>Inder J. Taneja, Magic Squares of Order 29, Zenodo, August 06, 2023, pp. 1-30, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8218771\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8218771<\/a>.<br>Site Links: <a href=\"https:\/\/numbers-magic.com\/?p=9468\">Magic Squares of Order 29.<\/a> <br><\/li>\n\n\n\n<li>Inder J. Taneja, Magic Squares of Order 31, Zenodo, August 06, 2023, pp. 1-35, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8219053\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8219053<\/a>.<br>Site Links: <a href=\"https:\/\/numbers-magic.com\/?p=9493\">Magic Squares of Order 31<\/a>.<br><br><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 36%,rgb(255,105,0) 100%)\">Double Digits Bordered Magic Squares: <br><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">Even and Odd Orders<\/mark><\/h3>\n\n\n\n<ul class=\"has-blush-light-purple-gradient-background has-background wp-block-list\">\n<li>The work for double digits odd order bordered magic squares:<br>For the previous work on&nbsp;<strong>odd orders from 3 to 31<\/strong>&nbsp;see the following links:<br>\n\n\n\n\n\n\n<ul class=\"wp-block-list\">\n<li>Inder J. Taneja, Double Digits Bordered Magic Squares of Orders 7 to 108, <strong>Zenodo<\/strong>, July, 2023, <br>Site Link: <a rel=\"noreferrer noopener\" href=\"https:\/\/numbers-magic.com\/?p=9988\" target=\"_blank\">Double Digits Bordered Magic Squares of Orders 7 to 108<\/a><br><br><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Double Digits Bordered Magic Squares: Even Number Orders Double Digits Bordered Magic Squares:Odd Number Orders Double Digits Bordered Magic Squares: Even and Odd Orders<\/p>\n","protected":false},"author":1,"featured_media":9408,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[39],"tags":[],"class_list":["post-9406","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-summary"],"jetpack_featured_media_url":"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/06\/18x18-2.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/9406","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=9406"}],"version-history":[{"count":6,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/9406\/revisions"}],"predecessor-version":[{"id":12234,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/9406\/revisions\/12234"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/9408"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9406"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9406"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9406"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}