Dodecagonal duotransitionaltertegum

From Polytope Wiki
Jump to navigation Jump to search
Dodecagonal duotransitionaltertegum
Rank4
TypeIsotopic
Elements
Cells576 kite pyramids
Faces576 scalene triangles, 576 isosceles triangles, 288 kites
Edges48+144+288+576
Vertices24+24+144
Vertex figure24 vertical-laterobisected joined dodecagonal prisms, 24 dodecagonal tegums, 144 digonal scalenohedra
Measures (edge length 1)
Central density1
Related polytopes
DualDodecagonal duotransitionalterprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(12)≀S2, order 1152
ConvexYes
NatureTame

The dodecagonal duotransitionaltertegum is a convex isochoric polychoron and member of the duotransitionaltertegum family with 576 kite pyramids as cells.

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