Great transitional 12-5 bigyrochoron

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Great transitional 12-5 bigyrochoron
Rank4
TypeIsotopic
Elements
Cells24 19-vertex tridecahedra
Faces48 scalene triangles, 24+24+24 kites, 12 rhombi, 24 mirror-symmetric decagons
Edges48+48+48+48+48
Vertices12+12+12+24+48
Vertex figure24+48 phyllic disphenoids, 12+12 rhombic disphenoids, 12 chiral rectangular trapezoprisms
Measures (edge length 1)
Central density1
Related polytopes
DualGreat transitional 12-5 double step prism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryS2(I2(12)-5)×2R, order 48
ConvexYes
NatureTame

The great transitional 12-5 bigyrochoron is a convex isochoric polychoron with 24 identical cells.

Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric decagons, 1 rhombus, 6 kites, and 4 scalene triangles for faces.

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