Small transitional pentaantitegmatoswirlic triacosichoron

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Small transitional pentaantitegmatoswirlic triacosichoron
File:Small transitional pentaantitegmatoswirlic triacosichoron.png
Rank4
TypeIsotopic
Elements
Cells300 12-vertex dodecahedra
Faces300+300+600 isosceles triangles, 300 rhombi, 300 mirror-symmetric hexagons
Edges60+300+600+600+600
Vertices60+300+300
Vertex figure300 phyllic disphenoids, 300 triangular gyrotegums, 60 pentagonal gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualSmall transitional triacontafold pentaantiprismatoswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
Symmetry((I2(10)×A1)/2)●I2(30), order 600
ConvexYes
NatureTame

The small transitional pentaantitegmatoswirlic triacosichoron is an isochoric polychoron with 108 identical cells. It is the third in an infinite family of isochoric pentagonal antitegmatic swirlchora, the others being the small pentaantitegmatoswirlic triacosichoron, great pentaantitegmatoswirlic triacosichoron and great transitional pentaantitegmatoswirlic triacosichoron.

Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric hexagons, 2 rhombi, and 8 isosceles triangles for faces.