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Is there a name for my polyhedron, or has it not been named because the number of polyhedra are infinite?

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- Thread starter lugita15
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- #1

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Is there a name for my polyhedron, or has it not been named because the number of polyhedra are infinite?

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tiny-tim

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Hi lugita15!

Does this help … http://mathworld.wolfram.com/IcosahedronStellations.html" [Broken] ?

Does this help … http://mathworld.wolfram.com/IcosahedronStellations.html" [Broken] ?

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Unfortunately, I don't think that my polyhedron is a stellation of an icosahedron. The definition of stellation in mathworld is "the process of constructing polyhedra by extending the facial planes past the polyhedron edges of a given polyhedron until they intersect." This is not the case for my polyhedron. This is because faces of the tetrahedra do not lie in the same planes as any of the faces of the icosahedron.Hi lugita15!

Does this help … http://mathworld.wolfram.com/IcosahedronStellations.html" [Broken] ?

In order to clarify what I am talking about, I have attached two pictures, one of a plain old icosahedron, and one of the star polyhedron I am trying to identify. As you can see, each of the faces of each of the tetrahedra (except, of course, the faces which coincide with the icosahedron faces) makes obtuse angles with icosahedron faces adjacent to it.

As I mentioned in my first post, the polyhedron I'm looking for is extremely similar to the great stellated dodecahedron, and is in fact a deformed version of the latter.

I apologize if my terminology is imprecise; I don't know much about 3-D geometry.

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