Five Intersecting Tetrahedron
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Five Intersecting Tetrahedra make a Dodecahedron if you connect the points
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Five Intersecting Tetrahedron
If you assemble five intersecting regular tetrahedra with equal spacing (rotational icosahedral symmetry), you get a dodecahedron when you connect the points. Also, if you connect the innermost points you get an icosahedron.
Also called a "Compound of Five Tetrahedra".
This is my first attempt at making the interlocking tetrahedra - it's not optimized for 3D printing yet. They're modeled as five separate pieces but should be close enough together that they don't slip or move when set down.
The bottom points will be challenging to print so I suggest a raft or brim with the supports. I couldn't come up with a way that I liked to flatten any of the edges to make bed adhesion easier so I'm open to suggestions - please leave a comment!
Bring some patience for removing the supports.
Inspired by this video with Adam Savage and Matt Parker:
https://www.youtube.com/watch?v=s_F4uD8wAs0
More info on Wikipedia:
https://en.wikipedia.org/wiki/Compound_of_five_tetrahedra