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There are a few families of polyhedra with identical faces.

There are none whose faces have 6 or more sides.

There is no special name for polyhedra whose faces are pentagons or pentagrams. A dodecahedron is an example.

If coplanar faces are disallowed, the only polyhedron with quadrilateral faces are the cube and rhombohedron.

There are infinitely many polyhedra with equilateral triangular faces: the tetrahedron, octahedron and icosahedron are examples.

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13y ago

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