{"id":2546,"date":"2026-03-05T18:25:53","date_gmt":"2026-03-05T18:25:53","guid":{"rendered":"https:\/\/remote-support.space\/wordpress\/?p=2546"},"modified":"2026-03-05T18:37:11","modified_gmt":"2026-03-05T18:37:11","slug":"orders-of-the-rotational-symmetry-groups-of-the-platonic-solids-and-buckyballs","status":"publish","type":"post","link":"https:\/\/remote-support.space\/wordpress\/2026\/03\/05\/orders-of-the-rotational-symmetry-groups-of-the-platonic-solids-and-buckyballs\/","title":{"rendered":"Orders of the rotational symmetry groups of the Platonic solids and Buckyballs"},"content":{"rendered":"<p dir=\"ltr\">\n<p dir=\"ltr\" data-pm-slice=\"1 1 []\">There is a profound mathematical connection between the <strong>orders of the rotational symmetry groups<\/strong> of the Platonic solids and <strong>Buckyballs<\/strong> (Buckminsterfullerenes, specifically C60).<\/p>\n<p dir=\"ltr\">\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2548 \" src=\"http:\/\/remote-support.space\/wordpress\/wp-content\/uploads\/2026\/03\/Screenshot_2026-03-05_23-27-53.jpg\" alt=\"\" width=\"1129\" height=\"536\" srcset=\"https:\/\/remote-support.space\/wordpress\/wp-content\/uploads\/2026\/03\/Screenshot_2026-03-05_23-27-53.jpg 834w, https:\/\/remote-support.space\/wordpress\/wp-content\/uploads\/2026\/03\/Screenshot_2026-03-05_23-27-53-300x142.jpg 300w, https:\/\/remote-support.space\/wordpress\/wp-content\/uploads\/2026\/03\/Screenshot_2026-03-05_23-27-53-768x365.jpg 768w\" sizes=\"auto, (max-width: 1129px) 100vw, 1129px\" \/><\/p>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2550 \" src=\"http:\/\/remote-support.space\/wordpress\/wp-content\/uploads\/2026\/03\/Screenshot_2026-03-05_23-30-11.jpg\" alt=\"\" width=\"1208\" height=\"800\" srcset=\"https:\/\/remote-support.space\/wordpress\/wp-content\/uploads\/2026\/03\/Screenshot_2026-03-05_23-30-11.jpg 911w, https:\/\/remote-support.space\/wordpress\/wp-content\/uploads\/2026\/03\/Screenshot_2026-03-05_23-30-11-300x199.jpg 300w, https:\/\/remote-support.space\/wordpress\/wp-content\/uploads\/2026\/03\/Screenshot_2026-03-05_23-30-11-768x508.jpg 768w\" sizes=\"auto, (max-width: 1208px) 100vw, 1208px\" \/><\/p>\n<h3 dir=\"ltr\"><\/h3>\n<h3 dir=\"ltr\"><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2551 \" src=\"http:\/\/remote-support.space\/wordpress\/wp-content\/uploads\/2026\/03\/Screenshot_2026-03-05_23-31-28.jpg\" alt=\"\" width=\"1051\" height=\"776\" srcset=\"https:\/\/remote-support.space\/wordpress\/wp-content\/uploads\/2026\/03\/Screenshot_2026-03-05_23-31-28.jpg 855w, https:\/\/remote-support.space\/wordpress\/wp-content\/uploads\/2026\/03\/Screenshot_2026-03-05_23-31-28-300x221.jpg 300w, https:\/\/remote-support.space\/wordpress\/wp-content\/uploads\/2026\/03\/Screenshot_2026-03-05_23-31-28-768x567.jpg 768w\" sizes=\"auto, (max-width: 1051px) 100vw, 1051px\" \/><\/p>\n<h3 dir=\"ltr\"><\/h3>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_2546\" class=\"pvc_stats all  \" data-element-id=\"2546\" style=\"\"><i class=\"pvc-stats-icon medium\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/remote-support.space\/wordpress\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p>\n<div class=\"pvc_clear\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>There is a profound mathematical connection between the orders of the rotational symmetry groups of the Platonic solids and Buckyballs (Buckminsterfullerenes, specifically C60). &nbsp; &nbsp;<\/p>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_2546\" class=\"pvc_stats all  \" data-element-id=\"2546\" style=\"\"><i class=\"pvc-stats-icon medium\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/remote-support.space\/wordpress\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p>\n<div class=\"pvc_clear\"><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[17],"tags":[],"class_list":["post-2546","post","type-post","status-publish","format-standard","hentry","category-mathematics"],"a3_pvc":{"activated":true,"total_views":2,"today_views":0},"_links":{"self":[{"href":"https:\/\/remote-support.space\/wordpress\/wp-json\/wp\/v2\/posts\/2546","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/remote-support.space\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/remote-support.space\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/remote-support.space\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/remote-support.space\/wordpress\/wp-json\/wp\/v2\/comments?post=2546"}],"version-history":[{"count":4,"href":"https:\/\/remote-support.space\/wordpress\/wp-json\/wp\/v2\/posts\/2546\/revisions"}],"predecessor-version":[{"id":2554,"href":"https:\/\/remote-support.space\/wordpress\/wp-json\/wp\/v2\/posts\/2546\/revisions\/2554"}],"wp:attachment":[{"href":"https:\/\/remote-support.space\/wordpress\/wp-json\/wp\/v2\/media?parent=2546"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/remote-support.space\/wordpress\/wp-json\/wp\/v2\/categories?post=2546"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/remote-support.space\/wordpress\/wp-json\/wp\/v2\/tags?post=2546"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}