Dodecagonal tetrambitriate

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Dodecagonal tetrambitriate
Rank4
TypeIsotopic
Elements
Cells288 wedges
Faces288 isosceles triangles, 288 isosceles trapezoids, 144 squares
Edges24+288+288
Vertices24+144
Vertex figure144 digonal scalenohedra, 24 dodecagonal tegums
Measures (edge length 1)
Central density1
Related polytopes
DualDodecagonal ditetragoltriate
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(12)≀S2, order 1152
ConvexYes
NatureTame

The dodecagonal tetrambitriate is a convex isochoric polychoron and member of the tetrambitriate family with 288 wedges as cells. It is the first in an infinite family of isochoric dodecagonal tegmatic swirlchora.

Each cell of this polychoron has rectangular pyramidal symmetry, with 1 square, 2 isosceles trapezoids, and 2 isosceles triangles for faces.