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Polyhedron with 60 faces From Wikipedia, the free encyclopedia
In geometry, the great pentakis dodecahedron is a nonconvex isohedral polyhedron.
Great pentakis dodecahedron | |
---|---|
Type | Star polyhedron |
Face | |
Elements | F = 60, E = 90 V = 24 (χ = −6) |
Symmetry group | Ih, [5,3], *532 |
Index references | DU58 |
dual polyhedron | Small stellated truncated dodecahedron |
It is the dual of the uniform small stellated truncated dodecahedron. The pentagonal faces pass close to the center in the uniform polyhedron, causing this dual to be very spikey. It has 60 intersecting isosceles triangle faces. Part of each triangle lies within the solid, hence is invisible in solid models.
The triangles have one very acute angle of and two of . The dihedral angle equals .
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