{"id":2902,"date":"2024-03-23T18:02:58","date_gmt":"2024-03-23T18:02:58","guid":{"rendered":"https:\/\/davidnilles.com\/?p=2902"},"modified":"2024-06-16T17:31:28","modified_gmt":"2024-06-16T17:31:28","slug":"mobius-strip","status":"publish","type":"post","link":"https:\/\/davidnilles.com\/index.php\/2024\/03\/23\/mobius-strip\/","title":{"rendered":"M\u00f6bius Strip"},"content":{"rendered":"\n

One of my favorite theoretical shapes is the m\u00f6bius strip. Named after August Ferdinand M\u00f6bius who, concurrently with Johann Benedict Listing, discovered the shape. <\/p>\n\n\n\n

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A continuous closed surface with only one side; formed from a rectangular strip by rotating one end 180 degrees and joining it with the other end.<\/em><\/p>\nPrinceton University<\/cite><\/blockquote>\n\n\n\n

I really like mobius strips due to their simplicity. The geometry can be pretty quickly created in Grasshopper, within Rhino 3D. I wrote a script that allows me to get a slicable .stl file in minutes. <\/p>\n\n\n\n

I have 3D printed a couple of mobius strips. Below is the largest. <\/p>\n\n\n\n

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For college I made a mobius fidget spinner, as an exercise to use the 3D printers. We had to create a spinner using the three nuts seen inset below. <\/p>\n\n\n\n

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There is an unintended feature of this fidget spinner. The geometry naturally causes a really cool optical illusion. The edge rolls over in only one direction. <\/p>\n\n\n\n

Grasshopper Definition<\/h2>\n\n\n\n

I created a Grasshopper 3D definition to produce 3D models of mobius strips. I can control by the selections below, outer radius, inner radius, thickness, and rotations. There are a few more variables that are buried in the code. <\/p>\n\n\n\n

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This seems to me like a great introduction to Grasshopper. My script works as follows:<\/p>\n\n\n\n

Step 1<\/h2>\n\n\n\n

The first step is to define the overall size of the calculated Mobius strip. Here we define 3 circles, all directly on the XZ plane. <\/p>\n\n\n\n

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Step 2<\/h2>\n\n\n\n

Here is where we can set the number of rotations the strip will do.<\/p>\n\n\n\n

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University of Virginia Architecture<\/h2>\n\n\n\n

Finding interesting Grasshopper definitions is always a treat. The University of Virginia Architecture program has an awesome website<\/a> sharing many definitions. <\/p>\n\n\n\n

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Other Examples<\/h3>\n\n\n\n

This guide is far easier than mine.<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

One of my favorite theoretical shapes is the m\u00f6bius strip. Named after August Ferdinand M\u00f6bius who, concurrently with Johann Benedict Listing, discovered the shape. A continuous closed surface with only one side; formed from a rectangular strip by rotating one end 180 degrees and joining it with the other end. Princeton University I really like […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[23],"tags":[],"class_list":["post-2902","post","type-post","status-publish","format-standard","hentry","category-3d-printing"],"_links":{"self":[{"href":"https:\/\/davidnilles.com\/index.php\/wp-json\/wp\/v2\/posts\/2902","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/davidnilles.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/davidnilles.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/davidnilles.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/davidnilles.com\/index.php\/wp-json\/wp\/v2\/comments?post=2902"}],"version-history":[{"count":47,"href":"https:\/\/davidnilles.com\/index.php\/wp-json\/wp\/v2\/posts\/2902\/revisions"}],"predecessor-version":[{"id":3716,"href":"https:\/\/davidnilles.com\/index.php\/wp-json\/wp\/v2\/posts\/2902\/revisions\/3716"}],"wp:attachment":[{"href":"https:\/\/davidnilles.com\/index.php\/wp-json\/wp\/v2\/media?parent=2902"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/davidnilles.com\/index.php\/wp-json\/wp\/v2\/categories?post=2902"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/davidnilles.com\/index.php\/wp-json\/wp\/v2\/tags?post=2902"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}