{"id":4343,"date":"2012-06-12T12:16:27","date_gmt":"2012-06-12T11:16:27","guid":{"rendered":"http:\/\/www.walkingrandomly.com\/?p=4343"},"modified":"2012-06-12T12:17:03","modified_gmt":"2012-06-12T11:17:03","slug":"a-tiling-puzzle","status":"publish","type":"post","link":"https:\/\/walkingrandomly.com\/?p=4343","title":{"rendered":"A tiling puzzle"},"content":{"rendered":"<p>A friend recently asked me how to optimally tile the shape below on the plane such that no two instances touch.<\/p>\n<p style=\"text-align: center;\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/www.walkingrandomly.com\/images\/random\/starshape.png\" alt=\"How to tile this?\" \/><\/p>\n<p>Off the top off my head I suggested considering the minimal enclosing circle and then pack hexagonally but he thinks one could do better.  I thought I&#8217;d ask on here to see what others might come up with.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A friend recently asked me how to optimally tile the shape below on the plane such that no two instances touch. Off the top off my head I suggested considering the minimal enclosing circle and then pack hexagonally but he thinks one could do better. I thought I&#8217;d ask on here to see what others [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[6,45],"tags":[],"class_list":["post-4343","post","type-post","status-publish","format-standard","hentry","category-general-math","category-just-for-fun"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3swhs-183","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/4343","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4343"}],"version-history":[{"count":2,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/4343\/revisions"}],"predecessor-version":[{"id":4345,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/4343\/revisions\/4345"}],"wp:attachment":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4343"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4343"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4343"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}