Pentagonal tetrambitriate

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Pentagonal tetrambitriate
Rank4
TypeIsotopic
Elements
Cells50 wedges
Faces50 isosceles triangles, 50 isosceles trapezoids, 25 squares
Edges10+50+50
Vertices10+25
Vertex figure25 digonal scalenohedra, 10 pentagonal tegums
Measures (edge length 1)
Central density1
Related polytopes
DualPentagonal ditetragoltriate
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH2≀S2, order 200
ConvexYes
NatureTame

The pentagonal tetrambitriate is a convex isochoric polychoron and member of the tetrambitriate family with 50 wedges as cells. It is the first in an infinite family of isochoric pentagonal tegmatic swirlchora.

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