Excavated great icosahedron
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Excavated great icosahedron | |
---|---|
Rank | 3 |
Type | Isohedral |
Elements | |
Faces | 60 triangles |
Edges | 30+60 |
Vertices | 12+20 |
Vertex figure | 12 pentambi, 20 triangles |
Measures (edge length 1) | |
Circumradius | 12 (10-fold):
20 (3-fold): |
Volume | |
Number of external pieces | 300 |
Related polytopes | |
Dual | Semi-uniform quasitruncated great stellated dodecahedron |
Conjugate | Augmented icosahedron Excavated icosahedron Augmented great icosahedron |
Convex hull | Semi-uniform-dual pentakis dodecahedron |
Convex core | Semi-uniform-dual deltoidal hexecontahedron |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | H3, order 120 |
Convex | No |
Nature | Tame |
The excavated great icosahedron is an isohedral deltahedron. It can be formed by excavating every face of the regular great icosahedron with a tetrahedron.