Triangular tetrambitriate

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Triangular tetrambitriate
Rank4
TypeIsotopic
Elements
Cells18 wedges
Faces18 isosceles triangles, 18 isosceles trapezoids, 9 squares
Edges6+18+18
Vertices6+9
Vertex figure6 triangular tegums, 9 digonal scalenohedra
Measures (edge length 1)
Central density1
Related polytopes
DualTriangular ditetragoltriate
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryA2≀S2, order 72
ConvexYes
NatureTame

The triangular tetrambitriate is a convex isochoric polychoron and member of the tetrambitriate family with 18 wedges as cells. It is the first in an infinite family of isochoric triangular tegmatic swirlchora.

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

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