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Dodecahedron Buckyball, Holiday Ornaments

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Creation quality: 5.0/5 (1 vote)
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  • 1.9k views
  • 3 likes
  • 69 downloads
  • 2 makes

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3D design format
STL Folder details Close
  • Dodecahedron_Bucky_PentaOpening_30mm.stl
  • Dodecahedron_Bucky_solid_R30mm.stl
  • Dodecahedron_Bucky_wired_30mm.stl
  • Dodecahedron_Vase_30mm.stl

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Publication date 2018-12-12 at 09:57
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Published to Thingiverse on: 2018-12-11 at 18:49
Design number 40422

3D printer file info

3D model description

Dodecahedron Buckyball

The dodecahedron is the simplest buckyball with 12 regular pentagon faces. If we extrude each of the pentagon face at a taper angle that allows all of vertices to fall on the same sphere (the circumscribing sphere of the dodecahedron), we have a dodecahedral buckyball.

In this design, the pentagon's circum-radius is 30 mm, its edge length is about 35.26 mm, the dodecahedron's circum-sphere radius is about 49.42mm, the taper angle for extrusion is about -67.3 degrees. My calculation is: -90 deg + atan(( dodecaCircumedSphereRadius - dodecaInscribedSphereRadius ) / ( tan(54 deg) * edgeLen / 2 )).

####Among the Files

  1. A solid dedocahedron bucky
  2. A shelled one with a pentagonal opening at the bottom.
  3. A wireframe version
  4. A shelled dodecahedron.

Have fun!

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