{"id":30104,"date":"2017-04-04T11:21:25","date_gmt":"2017-04-04T15:21:25","guid":{"rendered":"https:\/\/www.shapeways.com\/blog\/?p=30104"},"modified":"2017-05-22T17:58:32","modified_gmt":"2017-05-22T21:58:32","slug":"tutorial-tuesday-11-topological-mesh-modeling-topmod","status":"publish","type":"post","link":"https:\/\/www.shapeways.com\/blog\/tutorial-tuesday-11-topological-mesh-modeling-topmod","title":{"rendered":"Tutorial Tuesday 11: Topological Mesh Modeling with TopMod"},"content":{"rendered":"<p>Do you want to make beautiful 3D-printable sculptures, jewelry, and lamps? It&#8217;s easier than you might think \u2014 if you know how to use TopMod. TopMod is a really unique tool to have in your 3D printing toolbox. It specializes in remeshing, wireframing, stellating, and modifying\u00a0object meshes, and by combining those powerful functions you can quickly create stunning 3D-printable works of art. And, if you love beautiful mathematics, we&#8217;ll have some of that for you in this post as well!<\/p>\n<p>For example, you could start with\u00a0a dodecahedron cell, add stellations to\u00a0the faces, and then remesh to smooth everything out, like this:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-30148\" src=\"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/Screen-Shot-2017-03-31-at-9.59.49-AM-708x534.jpg\" alt=\"\" width=\"708\" height=\"534\" srcset=\"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/Screen-Shot-2017-03-31-at-9.59.49-AM-708x534.jpg 708w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/Screen-Shot-2017-03-31-at-9.59.49-AM-768x579.jpg 768w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/Screen-Shot-2017-03-31-at-9.59.49-AM-1024x772.jpg 1024w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/Screen-Shot-2017-03-31-at-9.59.49-AM-625x471.jpg 625w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/Screen-Shot-2017-03-31-at-9.59.49-AM-800x603.jpg 800w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/Screen-Shot-2017-03-31-at-9.59.49-AM-358x270.jpg 358w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/Screen-Shot-2017-03-31-at-9.59.49-AM-300x226.jpg 300w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/Screen-Shot-2017-03-31-at-9.59.49-AM.jpg 1264w\" sizes=\"auto, (max-width: 708px) 100vw, 708px\" \/><\/p>\n<p>Get started by <a href=\"https:\/\/code.google.com\/archive\/p\/topmod\/downloads\" target=\"_blank\">downloading TopMod<\/a> for free, and then follow along with the examples and tutorials below.<\/p>\n<h3>Topology<\/h3>\n<p>In mathematics, <a href=\"https:\/\/en.wikipedia.org\/wiki\/Topology\" target=\"_blank\">topology<\/a> is the study of shapes or objects that are preserved under certain deformations. In other words, to a topologist, two objects are considered the same if one can be continously morphed into the other without breaking, tearing, or gluing. So a topologist can&#8217;t tell the difference (and doesn&#8217;t <em>want<\/em> to tell the difference) between a cube and a ball, or even between a <a href=\"https:\/\/www.youtube.com\/watch?v=9NlqYr6-TpA\" target=\"_blank\">donut and a coffee mug<\/a>. To see this principle in action, check out Henry Segerman&#8217;s\u00a0<a href=\"https:\/\/www.youtube.com\/watch?v=9NlqYr6-TpA\" target=\"_blank\">Topology joke<\/a>\u00a0video on YouTube, or even buy a 3D-printed version of the donut-to-coffee-mug sequence at his <a href=\"https:\/\/www.shapeways.com\/product\/6CJQ9GXWW\/topology-joke?li=shareProduct&amp;&amp;\" target=\"_blank\">Shapeways store<\/a>.<\/p>\n<p><iframe loading=\"lazy\" width=\"1140\" height=\"641\" src=\"https:\/\/www.youtube.com\/embed\/9NlqYr6-TpA?feature=oembed\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n<p>If you&#8217;re feeling even more mathy than that, and want to see some current academic research, take a look at\u00a0<a href=\"http:\/\/www.viz.tamu.edu\/faculty\/ergun\/\" target=\"_blank\">Ergun Ackleman<\/a>&#8216;s\u00a0 papers on <a href=\"http:\/\/www.viz.tamu.edu\/faculty\/ergun\/research\/topology\/papers.html#omm\" target=\"_blank\">topological mesh modeling.<\/a>\u00a0\u00a0Dr. Ackleman\u00a0is\u00a0Professor at Texas A&amp;M University, and also, not coincidentally, the creator of TopMod.<\/p>\n<p>Or, if you just want to get to the modeling, here&#8217;s how topology is relevant to you: Sometimes you want to create a\u00a0basic rough outline shape for an object, and then later smooth, morph, or transform that object. When you do that, you&#8217;re doing topological mesh modeling; you&#8217;re changing how the object sits\u00a0inside three-dimensional space, but not changing the fundamental character, or\u00a0<em>topology<\/em>, of the object. Or, sometimes you want to add &#8220;extra topology&#8221; to an object by creating new holes or\u00a0connections. Either way, TopMod can help you do it\u00a0quickly and easily.<\/p>\n<h3>Getting started with TopMod<\/h3>\n<p>So, what can you make with TopMod? Here&#8217;s a beaufiul example: an intricately wireframed\u00a0<a href=\"https:\/\/www.shapeways.com\/product\/KD7YUU438\/golden-superegg-mesh?optionId=42356199\" target=\"_blank\">Golden Superegg Mesh<\/a> by\u00a0<a href=\"https:\/\/www.shapeways.com\/shops\/microcubology\" target=\"_blank\">microcubology<\/a>. A\u00a0<a href=\"https:\/\/en.wikipedia.org\/wiki\/Superegg\" target=\"_blank\">superegg<\/a>\u00a0is a special type of <a href=\"https:\/\/en.wikipedia.org\/wiki\/Superellipsoid\" target=\"_blank\">superellipsoid<\/a>, which is a 3D object whose cross-sections are <a href=\"https:\/\/en.wikipedia.org\/wiki\/Superellipse\" target=\"_blank\">superellipses<\/a>,\u00a0and the &#8220;golden&#8221; in the title refers to the <a href=\"https:\/\/en.wikipedia.org\/wiki\/Golden_ratio\" target=\"_blank\">Golden Ratio<\/a>. In this model, TopMod was used to create the mesh pattern on the surface of the superegg, and then to convert that\u00a0mesh to a wireframe.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-30151\" src=\"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/710x528_213790_291794_1452791939.jpg\" alt=\"\" width=\"710\" height=\"528\" srcset=\"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/710x528_213790_291794_1452791939.jpg 710w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/710x528_213790_291794_1452791939-625x465.jpg 625w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/710x528_213790_291794_1452791939-363x270.jpg 363w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/710x528_213790_291794_1452791939-300x223.jpg 300w\" sizes=\"auto, (max-width: 710px) 100vw, 710px\" \/><\/p>\n<p>To get started with TopMod, including\u00a0how to use basic geometric obejcts and apply its rind modeling and\u00a0remeshing functions, check out this\u00a0<a href=\"https:\/\/www.youtube.com\/watch?v=fwSV89_syBM\" target=\"_blank\">ShotGlass TopMod Tutorial<\/a>\u00a0by\u00a0<a href=\"https:\/\/www.youtube.com\/channel\/UCB99rA3UKTbAcV66GGM-EdA\" target=\"_blank\">Mathieu Glachant<\/a>. One pro tip if you find you&#8217;re unable to move around in TopMod: To navigate in TopMod you have to hold down the &#8220;option&#8221; key while moving around with your mouse.<\/p>\n<p><iframe loading=\"lazy\" width=\"1140\" height=\"855\" src=\"https:\/\/www.youtube.com\/embed\/fwSV89_syBM?feature=oembed\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n<h3>Loops and Crusts<\/h3>\n<p>With TopMod, it&#8217;s easy to create complex mathematical objects that look great as jewelry, such as this\u00a0<a href=\"https:\/\/www.shapeways.com\/product\/CB956EU6G\/split-mobius-band-23-mm-round?optionId=41181551\" target=\"_blank\">Split Mobius Band<\/a>, made by\u00a0<a href=\"https:\/\/www.shapeways.com\/shops\/camazine\" target=\"_blank\">Skeletal Skulpture and Mathematikal Artifakts<\/a>. This design is basically a <a href=\"https:\/\/en.wikipedia.org\/wiki\/Torus\" target=\"_blank\">torus<\/a> (that is, a &#8220;donut&#8221;) that has been hollowed out around a ring of faces that spiral around the mesh of the object.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-30152\" src=\"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/710x528_1294357_1199001_1478295399.jpg\" alt=\"\" width=\"710\" height=\"528\" srcset=\"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/710x528_1294357_1199001_1478295399.jpg 710w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/710x528_1294357_1199001_1478295399-625x465.jpg 625w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/710x528_1294357_1199001_1478295399-363x270.jpg 363w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/710x528_1294357_1199001_1478295399-300x223.jpg 300w\" sizes=\"auto, (max-width: 710px) 100vw, 710px\" \/><\/p>\n<p>To see how to make objects like these, check out this beginner&#8217;s\u00a0<a href=\"https:\/\/www.youtube.com\/watch?v=mdyaxEGxe1c\" target=\"_blank\">TopMod Tutorial<\/a>\u00a0by <a href=\"https:\/\/www.youtube.com\/channel\/UCoy5Heh7eTW3motWPwkoBoQ\" target=\"_blank\">PinkPanthress<\/a>\u00a0on YouTube. In this video, you&#8217;ll see nearly the same process that was used in the model above, except with a figure\u00a0eight shape (actually, a &#8220;<a href=\"https:\/\/en.wikipedia.org\/wiki\/Genus-two_surface\" target=\"_blank\">double torus<\/a>&#8220;) instead of a torus.<\/p>\n<p><iframe loading=\"lazy\" width=\"1140\" height=\"855\" src=\"https:\/\/www.youtube.com\/embed\/mdyaxEGxe1c?feature=oembed\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n<h3>Advanced Techniques<\/h3>\n<p>For something truly amazing, take a look at\u00a0<a href=\"https:\/\/www.shapeways.com\/shops\/purligar\" target=\"_blank\">purligar&#8217;s<\/a>\u00a0beautiful <a href=\"https:\/\/www.shapeways.com\/product\/MKYVFHDR6\/starfish-lamp\" target=\"_blank\">Starfish Lamp<\/a>,. You can turn this 3D print into a\u00a0pendant lamp\u00a0by also printing an\u00a0<a href=\"https:\/\/www.shapeways.com\/product\/Q8Z982XR6\/adapter-ring-for-starfish-lamp-20mm-height-e27\" target=\"_blank\">Adapter Ring<\/a>, or make it\u00a0a standing lamp as shown below with the <a href=\"https:\/\/www.shapeways.com\/product\/8EJKUHHMG\/starfish-lamp-stand-and-adapter-ring-e27-bulb-sock\" target=\"_blank\">Starfish Lamp Stand<\/a>.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-30149\" src=\"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/710x528_221531_374438_1459303132.jpg\" alt=\"\" width=\"710\" height=\"528\" srcset=\"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/710x528_221531_374438_1459303132.jpg 710w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/710x528_221531_374438_1459303132-625x465.jpg 625w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/710x528_221531_374438_1459303132-363x270.jpg 363w, https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/710x528_221531_374438_1459303132-300x223.jpg 300w\" sizes=\"auto, (max-width: 710px) 100vw, 710px\" \/><\/p>\n<p>The\u00a0<a href=\"https:\/\/www.youtube.com\/watch?v=8SUjZITJIOw\" target=\"_blank\">Intermediate Star Ball Tutorial<\/a> by\u00a0<a href=\"https:\/\/www.youtube.com\/channel\/UC5opjWTbeusKPjFCWYT_4tw\" target=\"_blank\">Gravitomag<\/a>\u00a0walks through the creation of exactly this star formation in TopMod, by extruding faces cut from a dodecahedron and then connecting them with topological handles. (Math geek note: In this case we\u00a0<em>are<\/em> changing the topology of the object; in fact, mathematically,\u00a0<a href=\"https:\/\/en.wikipedia.org\/wiki\/Handle_decomposition\" target=\"_blank\">adding and\u00a0removing handles<\/a> is a key way to change topology.)<\/p>\n<p><iframe loading=\"lazy\" width=\"1140\" height=\"641\" src=\"https:\/\/www.youtube.com\/embed\/8SUjZITJIOw?feature=oembed\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n<p>Have you used TopMod to create 3D-printable objects? Add links to your creations in the comments so we can check them out! Or, if you&#8217;re just getting started with topological mesh modeling and have questions, ask us here and we&#8217;ll do our best to answer. (Or, if you want to geek out and talk math, we&#8217;re\u00a0up for that too!)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Do you want to make beautiful 3D-printable sculptures, jewelry, and lamps? It&#8217;s easier than you might think \u2014 if you&#8230;<\/p>\n","protected":false},"author":105,"featured_media":30148,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[489],"tags":[525,480,508,1705,1619,1592,479],"class_list":["post-30104","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-products-and-design","tag-51-apps","tag-4-art","tag-33-education","tag-math-art","tag-mesh-fixes","tag-tutorial-tuesday","tag-3-tutorials"],"thumbnail":"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/Screen-Shot-2017-03-31-at-9.59.49-AM-625x471.jpg","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>Tutorial Tuesday 11: Topological Mesh Modeling with TopMod - Shapeways Blog<\/title>\n<meta name=\"description\" content=\"Do you want to make beautiful 3D-printable sculptures, jewelry, and lamps? It&#039;s easier than you might think \u2014 if you know how to use TopMod. TopMod is a\" \/>\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\/tutorial-tuesday-11-topological-mesh-modeling-topmod\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mathgrrl\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.shapeways.com\/blog\/tutorial-tuesday-11-topological-mesh-modeling-topmod#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.shapeways.com\/blog\/tutorial-tuesday-11-topological-mesh-modeling-topmod\"},\"author\":{\"name\":\"mathgrrl\",\"@id\":\"https:\/\/prodshapeblog.wpenginepowered.com\/#\/schema\/person\/9934f55f1b6a0954a93f55d54767e118\"},\"headline\":\"Tutorial Tuesday 11: Topological Mesh Modeling with TopMod\",\"datePublished\":\"2017-04-04T15:21:25+00:00\",\"dateModified\":\"2017-05-22T21:58:32+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.shapeways.com\/blog\/tutorial-tuesday-11-topological-mesh-modeling-topmod\"},\"wordCount\":830,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/prodshapeblog.wpenginepowered.com\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.shapeways.com\/blog\/tutorial-tuesday-11-topological-mesh-modeling-topmod#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/Screen-Shot-2017-03-31-at-9.59.49-AM.jpg\",\"keywords\":[\"Apps\",\"Art\",\"Education\",\"math art\",\"mesh fixes\",\"Tutorial Tuesday\",\"Tutorials\"],\"articleSection\":[\"Products and Design\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.shapeways.com\/blog\/tutorial-tuesday-11-topological-mesh-modeling-topmod#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.shapeways.com\/blog\/tutorial-tuesday-11-topological-mesh-modeling-topmod\",\"url\":\"https:\/\/www.shapeways.com\/blog\/tutorial-tuesday-11-topological-mesh-modeling-topmod\",\"name\":\"Tutorial Tuesday 11: Topological Mesh Modeling with TopMod - Shapeways Blog\",\"isPartOf\":{\"@id\":\"https:\/\/prodshapeblog.wpenginepowered.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.shapeways.com\/blog\/tutorial-tuesday-11-topological-mesh-modeling-topmod#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.shapeways.com\/blog\/tutorial-tuesday-11-topological-mesh-modeling-topmod#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2017\/03\/Screen-Shot-2017-03-31-at-9.59.49-AM.jpg\",\"datePublished\":\"2017-04-04T15:21:25+00:00\",\"dateModified\":\"2017-05-22T21:58:32+00:00\",\"description\":\"Do you want to make beautiful 3D-printable sculptures, jewelry, and lamps? 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