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mathgrrl

Pentakis Dodecahedron

by mathgrrl Jul 26, 2018
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that is an icosahedron...

close, but an Icosahedron has 20 faces, and this has 60 faces. "Pentakis" means pentagonal pyramids made of triangles, which are arranged around a Dodechaedron shape (look for the rings of five triangles) the Dodecahedron has 12 faces, so putting five triangles over each of those faces gives the 60 triangular faces you see here. https://en.wikipedia.org/wiki/Pentakis_dodecahedron

oh wow, thats cool, i should have look twice. :) i just read "dodecahedron" and ... hey, that's not possible. but now it makes sense.

Catalan solids are the best! Always glad to talk polyhedra :)

Great work!! I have a question, is a pentakis dodecahedron the same as a 2V geodesic sphere?

Hmm, I don't know!