Excavated great icosahedron

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Excavated great icosahedron
Rank3
TypeIsohedral
Elements
Faces60 triangles
Edges30+60
Vertices12+20
Vertex figure12 pentambi, 20 triangles
Measures (edge length 1)
Circumradius12 (10-fold):
20 (3-fold):
Volume
Number of external pieces300
Related polytopes
DualSemi-uniform quasitruncated great stellated dodecahedron
ConjugateAugmented icosahedron
Excavated icosahedron
Augmented great icosahedron
Convex hullSemi-uniform-dual pentakis dodecahedron
Convex coreSemi-uniform-dual deltoidal hexecontahedron
Abstract & topological properties
OrientableYes
Properties
SymmetryH3, order 120
ConvexNo
NatureTame

The excavated great icosahedron is an isohedral deltahedron. It can be formed by excavating every face of the regular great icosahedron with a tetrahedron.

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