{"id":1419,"date":"2023-04-04T21:34:22","date_gmt":"2023-04-04T12:04:22","guid":{"rendered":"https:\/\/ale.chenonetta.com\/blog\/?p=1419"},"modified":"2025-01-29T13:51:01","modified_gmt":"2025-01-29T04:21:01","slug":"laser-cutting-files-for-hat-and-turtle-aperiodic-monotiles","status":"publish","type":"post","link":"https:\/\/ale.chenonetta.com\/blog\/2023\/04\/laser-cutting-files-for-hat-and-turtle-aperiodic-monotiles\/","title":{"rendered":"Laser cutting files for hat and turtle aperiodic monotiles"},"content":{"rendered":"\n<p>A friend recently alerted me to this very nifty shape. We decided to tessellate together both the &#8220;hat&#8221; and &#8220;turtle&#8221; forms of the tile in order to laser cut them.<\/p>\n\n\n\n<p>Attached are the files we used for cutting. They&#8217;re designed for use on a 300x400mm sheet, but the patterns can be repeated as needed for larger areas. They include a curved line through each tile that can be helpful for visualising the aperiodicity of the tiles. The curve is based on a <a rel=\"noreferrer noopener\" href=\"https:\/\/mathstodon.xyz\/@Danpiker\/110062396666001681\" target=\"_blank\">design by Dan Piker<\/a>\u00a0<\/p>\n\n\n\n<p>You can see a sample of some of the cut tiles in this Twitter post my friend made!<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-rich is-provider-twitter wp-block-embed-twitter\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"twitter-tweet\" data-width=\"550\" data-dnt=\"true\"><p lang=\"en\" dir=\"ltr\">I got some lasercut aperiodic monotiles! Both hat and turtle polykites. <a href=\"https:\/\/t.co\/ZINldKuNlN\">pic.twitter.com\/ZINldKuNlN<\/a><\/p>&mdash; Alex (@zithral) <a href=\"https:\/\/twitter.com\/zithral\/status\/1640170827076505600?ref_src=twsrc%5Etfw\">March 27, 2023<\/a><\/blockquote><script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script>\n<\/div><\/figure>\n\n\n\n<p><strong>Files:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-17f07198-983b-4d96-9690-8c7d8c238379\" href=\"https:\/\/ale.chenonetta.com\/blog\/wp-content\/uploads\/2023\/04\/hatted-turtles.svg\">hatted-turtles.svg<\/a><a href=\"https:\/\/ale.chenonetta.com\/blog\/wp-content\/uploads\/2023\/04\/hatted-turtles.svg\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-17f07198-983b-4d96-9690-8c7d8c238379\">Download<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-178537ef-d531-42d1-ae64-0d2bc6dbbfb8\" href=\"https:\/\/ale.chenonetta.com\/blog\/wp-content\/uploads\/2023\/04\/hatted-turtles.dxf\">hatted-turtles.dxf<\/a><a href=\"https:\/\/ale.chenonetta.com\/blog\/wp-content\/uploads\/2023\/04\/hatted-turtles.dxf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-178537ef-d531-42d1-ae64-0d2bc6dbbfb8\">Download<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>A friend recently alerted me to this very nifty shape. We decided to tessellate together both the &#8220;hat&#8221; and &#8220;turtle&#8221; forms of the tile in order to laser cut them. Attached are the files we used for cutting. They&#8217;re designed for use on a 300x400mm sheet, but the patterns can be repeated as needed for &#8230; <a class=\"more-link\" href=\"https:\/\/ale.chenonetta.com\/blog\/2023\/04\/laser-cutting-files-for-hat-and-turtle-aperiodic-monotiles\/\"><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[274],"tags":[532,531,533],"class_list":{"0":"entry","1":"post","2":"publish","3":"author-admin","4":"post-1419","6":"format-standard","7":"category-lasering","8":"post_tag-downloadable-pattern","9":"post_tag-downloads","10":"post_tag-tessellations"},"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/ale.chenonetta.com\/blog\/wp-json\/wp\/v2\/posts\/1419","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ale.chenonetta.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ale.chenonetta.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ale.chenonetta.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ale.chenonetta.com\/blog\/wp-json\/wp\/v2\/comments?post=1419"}],"version-history":[{"count":0,"href":"https:\/\/ale.chenonetta.com\/blog\/wp-json\/wp\/v2\/posts\/1419\/revisions"}],"wp:attachment":[{"href":"https:\/\/ale.chenonetta.com\/blog\/wp-json\/wp\/v2\/media?parent=1419"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ale.chenonetta.com\/blog\/wp-json\/wp\/v2\/categories?post=1419"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ale.chenonetta.com\/blog\/wp-json\/wp\/v2\/tags?post=1419"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}