Bi-icositetrareplenished grand hexacosichoron

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Bi-icositetrareplenished grand hexacosichoron
File:Bi-icositetrareplenished grand hexacosichoron.png
Rank4
TypeScaliform
Notation
Bowers style acronymBirgax
Elements
Cells48 trireplenished great icosahedra
Faces48+72 triangles, 72 pentagrams
Edges72+144
Vertices72
Vertex figureBi-trireplenished great icosahedron, edge lengths 1 and (5-1)/2
Measures (edge length 1)
Circumradius
Central density-1
Related polytopes
ArmyBidex
RegimentBirgax
ConjugateBi-icositetradiminished hexacosichoron
Abstract & topological properties
Flag count2880
OrientableYes
Properties
Symmetry(B3/2)●G2, order 144
ConvexNo
NatureTame

The bi-icositetrareplenished grand hexacosichoron, or birgax, is a nonconvex noble scaliform polychoron that consists of 48 trireplenished great icosahedra. Six cells join at each vertex.

It can be formed from the grand hexacosichoron in a similar way as its conjugate, the bi-icositetradiminished hexacosichoron, can be derived from the hexacosichoron, by removing 48 great icosahedral pyramids corresponding to the vertices of 2 inscribed great icosahedra. Removing only 1 set of 24 vertices instead results in the retrosnub disicositetrachoron.

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