Augmented small stellated dodecahedron

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Augmented small stellated dodecahedron
Rank3
TypeIsohedral
Elements
Faces60 triangles
Edges30+60
Vertices12+12
Vertex figure12 pentambi, 12 pentagrams
Measures (edge length 1)
Circumradius12 (10-fold):
12 (5-fold):
Volume
Number of external pieces120
Related polytopes
DualSemi-uniform truncated great dodecahedron
ConjugateExcavated great dodecahedron
Convex hullIcosahedron
Convex coreSemi-uniform-dual deltoidal hexecontahedron
Abstract & topological properties
OrientableYes
Properties
SymmetryH3, order 120
ConvexNo
NatureTame

The augmented small stellated dodecahedron is an isohedral deltahedron. It can be formed by augmenting every face of the regular small stellated dodecahedron with a pentagrammic pyramid. It is also a variant of the pentakis small stellated dodecahedron.

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