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Rotunda-Drilled Truncated Icosidodecahedron — image 1
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Rotunda-Drilled Truncated Icosidodecahedron

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Inspired by the Numberphile video linked below. Shape originally from "Adventures Among the Toroids" by B.M. Stewart

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Model information

Category
Math
License
Creative Commons — Attribution


https://www.youtube.com/watch?v=BhSlqIe1CRQ&t=890s

I printed this on a Prusa Core One:

  • 0.1 mm layer height

  • Rested on the dodecagonal edge against build plate with supports enabled

    • This caused many of the rotunda squares to print in a horizontal plane, either fully supported (5) or as top surfaces (5).  In hindsight, it might be better to rest the model on one of the exterior squares, which would have rotundas facing horizontally and all surfaces would be sloped, except the very top and bottom of the model.

  • As modeled, the polygons have 12.5 mm edges, and the diameter is 95 mm.  Scale as you see fit.

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