Square duotransitionaltertegum

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

Square duotransitionaltertegum
Rank4
TypeIsotopic
SpaceSpherical
Elements
Cells64 kite pyramids
Faces64 scalene triangles, 64 isosceles triangles, 32 kites
Edges16+16+32+64
Vertices8+8+16
Vertex figure16 digonal scalenohedra, 8 square tegums, 8 vertical-laterobisected joined square prisms
Measures (edge length 1)
Central density1
Related polytopes
DualSquare duotransitionalterprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryB2≀S2, order 128
ConvexYes
NatureTame

Each cell of this polychoron has mirror symmetry, with 1 kite, 2 isosceles triangles, and 2 scalene triangles for faces.