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Dodecahedron with Five Intersecting Tetrahedra — image 1
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Dodecahedron with Five Intersecting Tetrahedra

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Five Intersecting Tetrahedra arranged in rotational icosahedral symmetry make a Dodecahedron if you connect the points.

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Dodecahedron with Five Intersecting Tetrahedra

If you assemble five intersecting regular tetrahedra with even spacing (rotational icosahedral symmetry), you get a dodecahedron when you connect the points.  

The original model had only the five tetrahedra, with point contact on the print bed.  This model adds the outer Dodecahedral edges making for a stronger model and easier to get good bed adhesion.  I had issues with the undersides of the outer edges with my support angle so I suggest making your support angle lower to make sure every underside is well supported.  

 

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

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