{"id":21752,"date":"2015-08-10T17:00:06","date_gmt":"2015-08-10T17:00:06","guid":{"rendered":"http:\/\/www.shapeways.com\/blog\/?p=21752"},"modified":"2017-04-17T12:18:46","modified_gmt":"2017-04-17T16:18:46","slug":"a-3d-printed-topology-joke","status":"publish","type":"post","link":"https:\/\/www.shapeways.com\/blog\/a-3d-printed-topology-joke","title":{"rendered":"A 3D Printed Topology Joke"},"content":{"rendered":"<p>Mathematical artist and community member <a href=\"https:\/\/www.shapeways.com\/shops\/henryseg\">Henry Segerman<\/a> has found a creative way to combine 3D printing and a topology joke. The joke goes\u00a0about topologists is that they can&#8217;t tell the difference between a coffee mug and a doughnut. For those who are not familiar with topology, topology is the study of geometrical objects where you don&#8217;t care about lengths and you don&#8217;t care about angles, what matters is how the spatial relations relate to each other.<\/p>\n<p>This series of 3D prints is a joint collaboration between Segerman and <a href=\"https:\/\/www.youtube.com\/user\/keenancrane\">Keenan Crane<\/a>. To a topologist, as the old joke goes, a coffee mug is the same thing as a donut since one can be deformed into the other.<\/p>\n<p><a href=\"https:\/\/www.shapeways.com\/product\/6CJQ9GXWW\/topology-joke\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-21773\" alt=\"Screen Shot 2015-08-10 at 12.42.56 PM\" src=\"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2015\/08\/Screen-Shot-2015-08-10-at-12.42.56-PM-625x461.png\" width=\"625\" height=\"461\" data-wp-pid=\"21773\" srcset=\"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2015\/08\/Screen-Shot-2015-08-10-at-12.42.56-PM-625x461.png 625w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2015\/08\/Screen-Shot-2015-08-10-at-12.42.56-PM-1024x756.png 1024w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2015\/08\/Screen-Shot-2015-08-10-at-12.42.56-PM-365x270.png 365w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2015\/08\/Screen-Shot-2015-08-10-at-12.42.56-PM-800x590.png 800w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2015\/08\/Screen-Shot-2015-08-10-at-12.42.56-PM.png 1238w\" sizes=\"auto, (max-width: 625px) 100vw, 625px\" \/><\/a><\/p>\n<p>(Topology Joke printed in white strong &amp; plastic)<\/p>\n<p>Video of Henry Segerman explaining Topology Joke printed in our <a href=\"https:\/\/www.shapeways.com\/materials\/porcelain-ceramic\">Porcelain Pilot Material<\/a>.<\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/9NlqYr6-TpA\" height=\"315\" width=\"560\" allowfullscreen=\"\" frameborder=\"0\"><\/iframe><\/p>\n<p>You can see more of Henry Segerman&#8217;s sculptures and mathematical inspired 3D printed on his Shapeways <a href=\"https:\/\/www.shapeways.com\/shops\/henryseg\">shop<\/a>.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mathematical artist and community member Henry Segerman has found a creative way to combine 3D printing and a topology joke&#8230;.<\/p>\n","protected":false},"author":45,"featured_media":21771,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[489,478],"tags":[],"class_list":["post-21752","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-products-and-design","category-community"],"thumbnail":"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2015\/08\/Screen-Shot-2015-08-10-at-12.41.49-PM-625x472.png","yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v23.9 (Yoast SEO v23.9) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A 3D Printed Topology Joke - Shapeways Blog<\/title>\n<meta name=\"description\" content=\"Mathematical artist and community member Henry Segerman has found a creative way to combine 3D printing and a topology joke. The joke goes\u00a0about\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.shapeways.com\/blog\/a-3d-printed-topology-joke\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Eric Ho\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.shapeways.com\/blog\/a-3d-printed-topology-joke#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.shapeways.com\/blog\/a-3d-printed-topology-joke\"},\"author\":{\"name\":\"Eric Ho\",\"@id\":\"https:\/\/prodshapeblog.wpenginepowered.com\/#\/schema\/person\/c7d40da53ec53e6ead049e1c0e4285e2\"},\"headline\":\"A 3D Printed Topology Joke\",\"datePublished\":\"2015-08-10T17:00:06+00:00\",\"dateModified\":\"2017-04-17T16:18:46+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.shapeways.com\/blog\/a-3d-printed-topology-joke\"},\"wordCount\":165,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/prodshapeblog.wpenginepowered.com\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.shapeways.com\/blog\/a-3d-printed-topology-joke#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2015\/08\/Screen-Shot-2015-08-10-at-12.41.49-PM.png\",\"articleSection\":[\"Products and Design\",\"The Community\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.shapeways.com\/blog\/a-3d-printed-topology-joke#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.shapeways.com\/blog\/a-3d-printed-topology-joke\",\"url\":\"https:\/\/www.shapeways.com\/blog\/a-3d-printed-topology-joke\",\"name\":\"A 3D Printed Topology Joke - Shapeways Blog\",\"isPartOf\":{\"@id\":\"https:\/\/prodshapeblog.wpenginepowered.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.shapeways.com\/blog\/a-3d-printed-topology-joke#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.shapeways.com\/blog\/a-3d-printed-topology-joke#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2015\/08\/Screen-Shot-2015-08-10-at-12.41.49-PM.png\",\"datePublished\":\"2015-08-10T17:00:06+00:00\",\"dateModified\":\"2017-04-17T16:18:46+00:00\",\"description\":\"Mathematical artist and community member Henry Segerman has found a creative way to combine 3D printing and a topology joke. 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