{"id":1097,"date":"2013-10-26T16:48:26","date_gmt":"2013-10-27T00:48:26","guid":{"rendered":"http:\/\/theiff.org\/current\/?p=1097"},"modified":"2013-10-26T17:14:30","modified_gmt":"2013-10-27T01:14:30","slug":"pentagonal-toy","status":"publish","type":"post","link":"https:\/\/theiff.org\/current\/liberation-geometry\/pentagonal-toy\/","title":{"rendered":"Pentagonal toy"},"content":{"rendered":"<dl class=\"wp-caption aligncenter\" id=\"attachment_1105\" style=\"width: 650px;\">\n<dt class=\"wp-caption-dt\"><\/dt>\n<\/dl>\n<div id=\"attachment_1107\" style=\"width: 586px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/theiff.org\/current\/wp-content\/uploads\/2013\/10\/Jake-spinning51.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-1107\" class=\" wp-image-1107 \" alt=\"Stellated pentagons make a great spinning toy.\" src=\"http:\/\/theiff.org\/current\/wp-content\/uploads\/2013\/10\/Jake-spinning51-1024x669.jpg\" width=\"576\" height=\"376\" srcset=\"https:\/\/theiff.org\/current\/wp-content\/uploads\/2013\/10\/Jake-spinning51-1024x669.jpg 1024w, https:\/\/theiff.org\/current\/wp-content\/uploads\/2013\/10\/Jake-spinning51-300x196.jpg 300w, https:\/\/theiff.org\/current\/wp-content\/uploads\/2013\/10\/Jake-spinning51.jpg 1280w\" sizes=\"auto, (max-width: 576px) 100vw, 576px\" \/><\/a><p id=\"caption-attachment-1107\" class=\"wp-caption-text\">Stellated pentagons make a great spinning toy.<\/p><\/div>\n<p><a href=\"http:\/\/theiff.org\/current\/wp-content\/uploads\/2013\/10\/Pentagonal_toy_medium_res.m4v\">Pentagonal_toy_medium_res<\/a><\/p>\n<p>There are lots of ways to connect sticks. A critical issue is the number of sticks that meet at each vertex. The form seen here is derived from the icosahedron, a Platonic solid that has five edges connecting at every vertex giving them pentagonal symmetry. Here, two pentagons &#8211; one orange and one blue &#8211; are woven together at the mid-plane, then each color is connected by a cone of the same-colored struts which all meet at a vertex. The resulting form is composed of two &#8220;stellated pentagons&#8221; offset at a 36 degree angle from one another. At our workshop today, the IFF&#8217;s Christina Simons realized that by putting a stick through the center the form could be turned into a charming spinning toy. It&#8217;s shadow reveals elegant symmetries hidden within the structure.<\/p>\n<p>&#8211;Margaret Wertheim, Institute For Figuring<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Pentagonal_toy_medium_res There are lots of ways to connect sticks. A critical issue is the number of sticks that meet at each vertex. The form seen here is derived from the icosahedron, a Platonic solid that has five edges connecting at every vertex giving them pentagonal symmetry. Here, two pentagons &#8211; one orange and one blue [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[6],"tags":[],"class_list":["post-1097","post","type-post","status-publish","format-standard","hentry","category-liberation-geometry"],"acf":[],"_links":{"self":[{"href":"https:\/\/theiff.org\/current\/wp-json\/wp\/v2\/posts\/1097","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/theiff.org\/current\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/theiff.org\/current\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/theiff.org\/current\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/theiff.org\/current\/wp-json\/wp\/v2\/comments?post=1097"}],"version-history":[{"count":9,"href":"https:\/\/theiff.org\/current\/wp-json\/wp\/v2\/posts\/1097\/revisions"}],"predecessor-version":[{"id":1111,"href":"https:\/\/theiff.org\/current\/wp-json\/wp\/v2\/posts\/1097\/revisions\/1111"}],"wp:attachment":[{"href":"https:\/\/theiff.org\/current\/wp-json\/wp\/v2\/media?parent=1097"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theiff.org\/current\/wp-json\/wp\/v2\/categories?post=1097"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theiff.org\/current\/wp-json\/wp\/v2\/tags?post=1097"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}