Tetracontaedros

Geometry Level pending

This is an image of a Tetracontaedros: (a polyhedron with 40 faces)

It consists of five of which type of overlapping Platonic solids?

Image credit: http://jennyperaltachaglla.blogspot.com

Cubes Oblate spheroids Icosahedra None of the other answers Tetrahedra Octahedra Spheres Dodecahedra

Geoff Pilling by Geoff Pilling , 53, USA

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2 solutions

Michael Mendrin
May 18, 2017

Pretty cool. If we sanded down each of the 30 peaks and ended up with a 30 sided polyhedron, it would be a Rhombic Triancontahedron, which has 32 vertices. These vertices can be partitioned into the 12 vertices of a dedecahedron and the 20 vertices of an isocahedron. See below.

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Great image!

Geoff Pilling - 4 years ago
Geoff Pilling
May 16, 2017

In icosahedron looks like this:

And if you look closely at the image in the question, you can see that it consists of a white one, a yellow one, a green one, a red one and a blue one all of the same size sharing the same center.

Image credit: https://upload.wikimedia.org/wikipedia

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