Excavated cube

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Excavated cube
Rank3
TypeIsohedral
Elements
Faces24 triangles
Edges12+24
Vertices6+8
Vertex figure8 triambi, 6 squares
Measures (edge length 1)
Circumradius8 (6-fold):
6 (4-fold):
Volume
Number of external pieces48
Related polytopes
DualQuasitruncated octahedron
ConjugateAugmented cube
Convex hullCube
Convex coreSemi-uniform-dual tetrakis cube
Abstract & topological properties
OrientableYes
Properties
SymmetryB3, order 48
ConvexNo
NatureTame

The excavated cube is an isohedral deltahedron. It can be formed by excavating every face of the regular cube with a square pyramid. It is also a non-convex variant of the tetrakis cube.

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