{"id":664,"date":"2017-09-03T11:03:11","date_gmt":"2017-09-03T15:03:11","guid":{"rendered":"https:\/\/geekhaus.com\/math103_fall2017\/?p=664"},"modified":"2017-10-12T11:14:32","modified_gmt":"2017-10-12T15:14:32","slug":"hilbert-curve-coasters","status":"publish","type":"post","link":"https:\/\/geekhaus.com\/math103_fall2017\/2017\/09\/03\/hilbert-curve-coasters\/","title":{"rendered":"Hilbert Curve Coasters"},"content":{"rendered":"<p>My first fractal I would like to print is called <a href=\"https:\/\/en.wikipedia.org\/wiki\/Hilbert_curve\">Hilbert Curve<\/a> Coasters. The reason why I would like to print this one is that it is based on the Hilbert Curve. According to Wikipedia, Hilbert Curve is also known as Hilbert Space-filling Curve. I was fascinated\u00a0by its ability to fill up the empty space shown here in the <a href=\"https:\/\/www.youtube.com\/watch?v=v99dsVBE4xQ\">video<\/a>.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-666 size-full\" src=\"https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/1.jpg\" alt=\"\" width=\"640\" height=\"480\" srcset=\"https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/1.jpg 640w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/1-300x225.jpg 300w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/1-326x245.jpg 326w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/1-80x60.jpg 80w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><\/p>\n<p>It has three steps:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1642 size-full\" src=\"https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/Screen-Shot-2017-10-11-at-12.13.14-PM.png\" alt=\"\" width=\"644\" height=\"231\" srcset=\"https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/Screen-Shot-2017-10-11-at-12.13.14-PM.png 644w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/Screen-Shot-2017-10-11-at-12.13.14-PM-300x108.png 300w\" sizes=\"(max-width: 644px) 100vw, 644px\" \/><\/p>\n<p>Here is the video to introduce Hibert Curve.<\/p>\n<p><iframe loading=\"lazy\" title=\"Fractal charm: Space filling curves\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/RU0wScIj36o?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p>I found this <a href=\"https:\/\/www.thingiverse.com\/thing:65572\">file<\/a> on Thingiverse. I believe it is printable because of its relatively simple patterner comparing\u00a0to some other designs on there. It only has straight lines and straight angles which should make an easy printing.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-952 size-full\" src=\"https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/Hilbert-Curve-Coasters-by-pmoews-Thingiverse.png\" alt=\"\" width=\"628\" height=\"406\" srcset=\"https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/Hilbert-Curve-Coasters-by-pmoews-Thingiverse.png 628w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/Hilbert-Curve-Coasters-by-pmoews-Thingiverse-300x194.png 300w\" sizes=\"(max-width: 628px) 100vw, 628px\" \/><\/p>\n<h2><strong>3D Printing Results<\/strong><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-950 size-full\" src=\"https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/3D-Print.jpeg\" alt=\"\" width=\"800\" height=\"800\" srcset=\"https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/3D-Print.jpeg 800w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/3D-Print-150x150.jpeg 150w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/3D-Print-300x300.jpeg 300w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/3D-Print-768x768.jpeg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1734 size-large\" src=\"https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/WechatIMG1-768x1024.jpeg\" alt=\"\" width=\"768\" height=\"1024\" srcset=\"https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/WechatIMG1-768x1024.jpeg 768w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/WechatIMG1-225x300.jpeg 225w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/09\/WechatIMG1.jpeg 1080w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/><\/p>\n<p>The image shows the result of my fractal of\u00a0Hilbert Curve Coasters. I attempted three times to finish this 3D model. Finally, I used the Afinia printer and adjust the size. It came out after about forty minutes with 10 layers. I download one of the <a href=\"https:\/\/www.thingiverse.com\/thing:65572\">files<\/a> on Thingiverse. I think my model looks really like the one on the Thingiverse.<\/p>\n<p>Here is the link that I post on the &#8220;Make&#8221; on Thingiverse.\u00a0<a href=\"https:\/\/www.thingiverse.com\/make:381414\">https:\/\/www.thingiverse.com\/make:381414<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<div class=\"mh-excerpt\"><p>My first fractal I would like to print is called Hilbert Curve Coasters. The reason why I would like to print this one is that it is based on the Hilbert Curve. According to Wikipedia, Hilbert Curve is also known as Hilbert Space-filling Curve. I <a class=\"mh-excerpt-more\" href=\"https:\/\/geekhaus.com\/math103_fall2017\/2017\/09\/03\/hilbert-curve-coasters\/\" title=\"Hilbert Curve Coasters\">[&#8230;]<\/a><\/p>\n<\/div>","protected":false},"author":29,"featured_media":665,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"coauthors":[32],"_links":{"self":[{"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/posts\/664"}],"collection":[{"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/users\/29"}],"replies":[{"embeddable":true,"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/comments?post=664"}],"version-history":[{"count":14,"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/posts\/664\/revisions"}],"predecessor-version":[{"id":1735,"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/posts\/664\/revisions\/1735"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/media\/665"}],"wp:attachment":[{"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/media?parent=664"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/categories?post=664"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/tags?post=664"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/coauthors?post=664"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}