Square duotruncatoaltertegum

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Square duotruncatoaltertegum
Rank4
TypeIsotopic
SpaceSpherical
Elements
Cells64 monotruncated kite pyramids
Faces64 scalene triangles, 32 isosceles triangles, 64 kites, 32 mirror-symmetric pentagons
Edges8+16+32+64+64
Vertices8+16+16+16
Vertex figure16 tetragonal disphenoids, 16 digonal scalenohedra, 16 semibisected square antitegums, 8 square tegums
Measures (edge length 1)
Central density1
Related polytopes
DualSquare duotruncatoalterprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryB2≀S2, order 128
ConvexYes
NatureTame

The square duotruncatoaltertegum is a convex isochoric polychoron and a member of the duotruncatoaltertegum family with 64 monotruncated kite pyramids as cells.

Each cell of this polychoron has mirror symmetry, with 1 mirror-symmetric pentagon, 2 kites, 1 isosceles triangle, and 2 scalene triangles for faces.