Enneagonal tetrambitriate

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Enneagonal tetrambitriate
Rank4
TypeIsotopic
Elements
Cells162 wedges
Faces162 isosceles triangles, 162 isosceles trapezoids, 81 squares
Edges18+162+162
Vertices18+81
Vertex figure81 digonal scalenohedra, 18 enneagonal tegums
Measures (edge length 1)
Central density1
Related polytopes
DualEnneagonal ditetragoltriate
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(9)≀S2, order 648
ConvexYes
NatureTame

The enneagonal tetrambitriate is a convex isochoric polychoron and member of the tetrambitriate family with 162 wedges as cells. It is the first in an infinite family of isochoric enneagonal tegmatic swirlchora.

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