Dodecagonal duotruncatotegum

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Dodecagonal duotruncatotegum
Rank4
TypeIsotopic
Elements
Cells576 mirror-symmetric edge-truncated tetrahedra
Faces576 scalene triangles, 576 kites, 288+288 mirror-symmetric pentagons
Edges24+288+288+576+576
Vertices24+144+144+288
Vertex figure144 tetragonal disphenoids, 288 notches, 144 digonal scalenohedra, 24 dodecambic tegums
Measures (edge length 1)
Central density1
Related polytopes
DualDodecagonal duotruncatoprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(12)≀S2, order 1152
ConvexYes
NatureTame

The dodecagonal duotruncatotegum is a convex isochoric polychoron and member of the duotruncatotegum family with 576 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.