Square duotruncatotegum

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Square duotruncatotegum
Rank4
TypeIsotopic
Elements
Cells64 mirror-symmetric edge-truncated tetrahedra
Faces64 scalene triangles, 64 kites, 32+32 mirror-symmetric pentagons
Edges8+32+32+64+64
Vertices8+16+16+832
Vertex figure16 tetragonal disphenoids, 32 notches, 16 digonal scalenohedra, 8 tetrambic tegums
Measures (edge length 1)
Central density1
Related polytopes
DualSquare duotruncatoprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryB2≀S2, order 128
ConvexYes
NatureTame

The square duotruncatotegum is a convex isochoric polychoron and member of the duotruncatotegum family with 64 mirror-symmetric edge-truncated tetrahedra as cells.

Each cell of this polychoron has mirror symmetry, with 2 mirror-symmetric pentagons, 2 kites, and 2 scalene triangles for faces.