Great transitional tetraantitegmatoswirlic hecatonicosoctachoron

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Great transitional tetraantitegmatoswirlic hecatonicosoctachoron
File:Great transitional tetraantitegmatoswirlic hecatonicosoctachoron.png
Rank4
TypeIsotopic
Elements
Cells128 15-vertex dodecahedra
Faces256 scalene triangles, 128 isosceles triangles, 128 kites, 128+128 mirror-symmetric hexagons
Edges32+256+256+256+256
Vertices32+128+128+128
Vertex figure128 phyllic disphenoids, 128 rhombic disphenoids, 128 bilaterally-symmetric wedges, 32 square gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualGreat transitional hexadecafold tetraantiprismatoswirlchoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
Symmetry((I2(8)×A1)/2)●I2(16), order 256
ConvexYes
NatureTame

The great transitional tetraantitegmatoswirlic hecatonicosoctachoron is an isochoric polychoron with 128 identical cells. It is the second in an infinite family of isochoric square antitegmatic swirlchora, the others being the small tetraantitegmatoswirlic hecatonicosoctachoron, great tetraantitegmatoswirlic hecatonicosoctachoron and small transitional tetraantitegmatoswirlic hecatonicosoctachoron.

Each cell of this polychoron has bilateral symmetry, with 4 mirror-symmetric hexagons, 2 kites, 2 isosceles triangles, and 4 scalene triangles for faces.