Dipyritorhombidodecaswirlic hecatontetracontatetrachoron

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Dipyritorhombidodecaswirlic hecatontetracontatetrachoron
Rank4
TypeIsotopic
Elements
Cells144 16-vertex dodecahedra
Faces72+72 rhombi, 144+144+144 kites, 288 irregular pentagons
Edges96+288+288+288+288
Vertices48+48+144+144+144
Vertex figure48+48 triangular gyrotegums, 144+144+144 phyllic disphenoids
Measures (edge length 1)
Central density1
Related polytopes
DualHexafold dipyritocuboctaswirlchoron
Abstract & topological properties
Flag count14976
Euler characteristic0
OrientableYes
Properties
Symmetry(B3/2)●I2(12), order 288
ConvexYes
NatureTame

The dipyritorhombidodecaswirlic hecatontetracontatetrachoron is an isochoric polychoron with 144 identical cells.

Each cell of this polychoron has mirror symmetry, with 2 rhombi, 6 tetragons, and 4 pentagons for faces.