{"id":96149,"date":"2020-08-16T13:48:23","date_gmt":"2020-08-16T18:48:23","guid":{"rendered":"http:\/\/shuffly.net\/zoop\/?p=96149"},"modified":"2020-08-17T11:10:39","modified_gmt":"2020-08-17T16:10:39","slug":"penrose-on-penrose","status":"publish","type":"post","link":"https:\/\/shuffly.net\/zoop\/penrose-on-penrose\/","title":{"rendered":"Penrose on Penrose"},"content":{"rendered":"<p><a href=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/RogerPenroseTileTAMU2010.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/RogerPenroseTileTAMU2010-543x640.jpg\" alt=\"\" width=\"543\" height=\"640\" class=\"aligncenter size-medium wp-image-96150\" srcset=\"https:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/RogerPenroseTileTAMU2010-543x640.jpg 543w, https:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/RogerPenroseTileTAMU2010.jpg 611w\" sizes=\"auto, (max-width: 543px) 85vw, 543px\" \/><\/a><\/p>\n<p>Roger Penrose standing on a Penrose-tiled floor at Texas A&#038;M University.<\/p>\n<p>(From the comments <a href=\"https:\/\/www.ratburger.org\/index.php\/2020\/08\/16\/something-i-could-see-john-buying\/\" rel=\"noopener noreferrer\" target=\"_blank\">here<\/a>.)<\/p>\n<p>Update: I dug out the old set of <a href=\"https:\/\/en.wikipedia.org\/wiki\/Penrose_tiling\" rel=\"noopener noreferrer\" target=\"_blank\">Penrose kites and darts<\/a> that I made many years ago.<\/p>\n<p><a href=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/Penrose-1.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/Penrose-1-640x553.jpg\" alt=\"\" width=\"640\" height=\"553\" class=\"aligncenter size-medium wp-image-96258\" srcset=\"https:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/Penrose-1-640x553.jpg 640w, https:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/Penrose-1-1024x885.jpg 1024w, https:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/Penrose-1-768x664.jpg 768w, https:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/Penrose-1-1536x1327.jpg 1536w, https:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/Penrose-1-2048x1770.jpg 2048w, https:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/Penrose-1-1200x1037.jpg 1200w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/Penrose-2.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/Penrose-2-640x427.jpg\" alt=\"\" width=\"640\" height=\"427\" class=\"aligncenter size-medium wp-image-96259\" srcset=\"https:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/Penrose-2-640x427.jpg 640w, https:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/Penrose-2-1024x683.jpg 1024w, https:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/Penrose-2-768x512.jpg 768w, https:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/Penrose-2-1536x1024.jpg 1536w, https:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/Penrose-2-2048x1366.jpg 2048w, https:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2020\/08\/Penrose-2-1200x800.jpg 1200w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/a><\/p>\n<p>Matching the ends of the curved lines enforces aperiodicity.<\/p>\n<p>I also made a set of Penrose rhombuses, but the kites and darts look more elegant.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Roger Penrose standing on a Penrose-tiled floor at Texas A&#038;M University. (From the comments here.) Update: I dug out the old set of Penrose kites and darts that I made many years ago. Matching the ends of the curved lines enforces aperiodicity. I also made a set of Penrose rhombuses, but the kites and darts &hellip; <a href=\"https:\/\/shuffly.net\/zoop\/penrose-on-penrose\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Penrose on Penrose&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[15],"tags":[],"class_list":["post-96149","post","type-post","status-publish","format-standard","hentry","category-mathematics"],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p4xam3-p0N","jetpack_likes_enabled":true,"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/posts\/96149","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/comments?post=96149"}],"version-history":[{"count":7,"href":"https:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/posts\/96149\/revisions"}],"predecessor-version":[{"id":96273,"href":"https:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/posts\/96149\/revisions\/96273"}],"wp:attachment":[{"href":"https:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/media?parent=96149"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/categories?post=96149"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/tags?post=96149"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}