{"id":9414,"date":"2023-06-15T23:14:57","date_gmt":"2023-06-16T02:14:57","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=9414"},"modified":"2026-01-31T23:21:14","modified_gmt":"2026-02-01T02:21:14","slug":"multiple-orders-bordered-magic-squares-2","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=9414","title":{"rendered":"Multiple Orders Bordered Magic Squares"},"content":{"rendered":"\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(2,3,129) 0%,rgb(169,136,214) 16%,rgb(255,255,255) 75%,rgb(40,116,252) 100%)\">Even Order Multiples<\/h3>\n\n\n\n<p><\/p>\n\n\n\n<ol class=\"wp-block-list has-electric-grass-gradient-background has-background\">\n<li><strong>Inder J. Taneja<\/strong>, Bordered and Pandiagonal Magic Squares Multiples of 4, <strong>Zenodo<\/strong>, August 31, 2021, pp. 1-148, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.5347897\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.5347897<\/a>. \n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=648\" target=\"_blank\" rel=\"noreferrer noopener\">Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 4<\/a>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li> <strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 6, Zenodo, July 25, 2023, pp. 1-32, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8184983.\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8184983<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=316\" target=\"_blank\" rel=\"noreferrer noopener\">Bordered Magic Squares Multiples 6<\/a>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered and Pandiagonal Magic Squares Multiples of 8, <strong>Zenodo<\/strong>, July 26, 2023, pp. 1-58, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8187791\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8187791<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=687\" target=\"_blank\" rel=\"noreferrer noopener\">Bordered and Pandiagonal Magic Squares Multiples of 8<\/a> \u2013 Revised &#8211; Revised on July 12, 2023.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 10, <strong>Zenodo<\/strong>, July 26, pp. 1-40, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8187888\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8187888<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=706\" target=\"_blank\" rel=\"noreferrer noopener\">Block-Wise Bordered Magic Squares Multiples of 10 &#8211; Revised<\/a>. Revised on July 12, 2023.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja,<\/strong> Bordered and Pandiagonal Magic Squares Multiples of 12, <strong>Zenodo<\/strong>, July 27, 2023, pp. 1-31, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8188293\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8188293<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=747\">Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 12- Revised<\/a>. Revised on July 12, 2023<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 14, <strong>Zenodo<\/strong>, July 27, pp. 1-33, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8188395\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8188395<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=812\" target=\"_blank\" rel=\"noreferrer noopener\">Bordered Magic Squares Multiples of 14 &#8211; Revised<\/a>. Revised on July 12, 2023<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered and Pandiagonal Magic Squares Multiples of 16, <strong>Zenodo<\/strong>, July 27, pp. 1-30, https:\/\/doi.org\/10.5281\/zenodo.8190884.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=9634\" target=\"_blank\" rel=\"noreferrer noopener\">Bordered and Pandiagonal Magic Squares Multiples of 16.<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li> <strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 18, <strong>Zenodo<\/strong>, July 28, pp. 1-31, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8191223\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8191223<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=9655\">Bordered Magic Squares Multiples of 18<\/a>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered and Pandiagonal Magic Squares Multiples of 20, <strong>Zenodo<\/strong>, July 28, pp. 1-45, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8191426\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8191426<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=9675\">Bordered and Pandiagonal Magic Squares Multiples of 20.<\/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-background\" style=\"background:linear-gradient(135deg,rgb(2,3,129) 0%,rgb(169,136,214) 16%,rgb(255,255,255) 75%,rgb(40,116,252) 100%)\">Odd Order Multiples<\/h3>\n\n\n\n<p><\/p>\n\n\n\n<ol class=\"wp-block-list has-electric-grass-gradient-background has-background\">\n<li><strong>Inder J. Taneja<\/strong>, Block-WiseBordered and Pandiagonal Magic Squares Multiples of 3, <strong>Zenodo<\/strong>, May 05, pp. 1-29, 2023, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.7898383\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.7898383<\/a>. \n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=8707\">Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 3<\/a>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered and Pandiagonal Magic Squares Multiples of 5, <strong>Zenodo<\/strong>, July 23, 2023, pp. 1- 36, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8175759\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8175759<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=8738\" target=\"_blank\" rel=\"noreferrer noopener\">Bordered and Pandiagonal Magic Squares Multiples of 5 &#8211; Revised.<\/a> Revised on July 21, 2023<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered and Pandiagonal Magic Squares Multiples of 7, <strong>Zenodo<\/strong>, July 23, 2023, pp. 1-34, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8176061\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8176061<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=8766\" target=\"_blank\" rel=\"noreferrer noopener\">Bordered and Pandiagonal Magic Squares Multiples of 7 &#8211; Revised.<\/a> Revised on July 20, 2023, <\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 9, <strong>Zenodo<\/strong>, July 23, 2023, pp. 1-28, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8176475\" target=\"_blank\" rel=\"noreferrer noopener\"><\/a><a href=\"https:\/\/doi.org\/10.5281\/zenodo.8176357\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8176357<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=8972\" target=\"_blank\" rel=\"noreferrer noopener\">Bordered Magic Squares Multiples of 9 &#8211; Revised.<\/a> Revised on July 13, 2023, <\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Block-Wise Bordered Magic Squares Multiples of 11, <strong>Zenodo<\/strong>, July 24, 2023, pp. 1-34, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8176475\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8176475<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=8989\" target=\"_blank\" rel=\"noreferrer noopener\">Bordered Magic Squares Multiples of Order 11- Revised<\/a>. Revised on July 16, 2024.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 13, <strong>Zenodo<\/strong>, July 24, pp. 1-32, 2023, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8178879\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8178879<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=9745\" target=\"_blank\" rel=\"noreferrer noopener\">Bordered Magic Squares Multiples of 13.<\/a><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 15, <strong>Zenodo<\/strong>, July 24, pp. 1-35, 2023, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8178935\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8178935<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=9768\">Bordered Magic Squares Multiples of 15<\/a>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 17, <strong>Zenodo<\/strong>, July 25, pp. 1-26, 2023, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8180706\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8180706<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=9789\">Bordered Magic Squares Multiples of 17<\/a>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Bordered Magic Squares Multiples of 19, <strong>Zenodo<\/strong>, July 25, pp. 1-31, 2023, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8180919\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8180919<\/a>.\n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=9812\">Bordered Magic Squares Multiples of 19<\/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-background\" style=\"background:linear-gradient(135deg,rgb(2,3,129) 0%,rgb(169,136,214) 16%,rgb(255,255,255) 75%,rgb(40,116,252) 100%)\">Mixed Order Multiple Borders<\/h3>\n\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list has-electric-grass-gradient-background has-background\">\n<li><strong>Inder J. Taneja<\/strong>, Multiple Orders Bordered Magic Squares, <strong>Zenodo<\/strong>, Jun 9, 2023, pp. 1-43, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.8019330\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.8019330<\/a>.  \n<ul class=\"wp-block-list\">\n<li>Site Link: <a href=\"https:\/\/numbers-magic.com\/?p=8707\"><\/a><a href=\"https:\/\/numbers-magic.com\/?p=9176\">Multiple Orders Bordered Magic Squares<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Even Order Multiples Odd Order Multiples Mixed Order Multiple Borders<\/p>\n","protected":false},"author":1,"featured_media":9419,"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-9414","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\/M-30x30-2-1.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/9414","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=9414"}],"version-history":[{"count":18,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/9414\/revisions"}],"predecessor-version":[{"id":17778,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/9414\/revisions\/17778"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/9419"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9414"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9414"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9414"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}