Bitruncatotetrahedral tetracontoctachoron

The bitruncatotetrahedral tetracontoctachoron or bitutic is a convex isogonal polychoron that consists of 48 truncated tetrahedra, 192 chiral triangular antipodiums, 192 triangular-ditrigonal gyrowedges, 144 rhombic disphenoids, and 576 phyllic disphenoids of two kinds. 1 truncated tetrahedron, 2 triangular antipodiums, 3 triangular-ditrigonal gyrowedges, 1 rhombic disphenoid, and 4 phyllic disphenoids join at each vertex. However, it cannot be made scaliform.

Bitruncatotetrahedral tetracontoctachoron
Rank4
TypeIsogonal
Notation
Bowers style acronymBitutic
Elements
Cells144 rhombic disphenoids, 288+288 phyllic disphenoids, 48 truncated tetrahedra, 192 chiral triangular antipodiums, 192 triangular-ditrigonal gyrowedges
Faces192+192 triangles, 576+576+576+576+576 scalene triangles, 192 ditrigons
Edges288+288+288+288+576+576+576
Vertices576
Vertex figure10-vertex polyhedron
Measures (edge length 1)
Central density1
Related polytopes
ArmyBitutic
RegimentBitutic
DualDecahedral pentacosiheptacontahexachoron
Abstract & topological properties
Flag count43776
Euler characteristic0
OrientableYes
Properties
SymmetryA3●B3, order 576
ConvexYes
NatureTame