Decagonal tetrambitriate

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Decagonal tetrambitriate
Rank4
TypeIsotopic
Elements
Cells200 wedges
Faces200 isosceles triangles, 200 isosceles trapezoids, 100 squares
Edges20+200+200
Vertices20+100
Vertex figure100 digonal scalenohedra, 20 decagonal tegums
Measures (edge length 1)
Central density1
Related polytopes
DualDecagonal ditetragoltriate
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(10)≀S2, order 800
ConvexYes
NatureTame

The decagonal tetrambitriate is a convex isochoric polychoron and member of the tetrambitriate family with 200 wedges as cells. It is the first in an infinite family of isochoric decagonal tegmatic swirlchora.

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