Medial disphenoidal omnisnub bitetrahedral tetracontoctachoron

The medial disphenoidal omnisnub bitetrahedral tetracontoctachoron or medwosbitac is a convex isogonal polychoron that consists of 48 snub tetrahedra, 192 chiral triangular antipodiums, 144 rhombic disphenoids, 576 phyllic disphenoids of two kinds, and 2304 irregular tetrahedra of four kinds. 1 snub tetrahedra, 2 triangular antipodiums, 1 rhombic disphenoid, 4 phyllic disphenoids, and 16 irregular tetrahedra join at each vertex. However, it cannot be made uniform.

Medial disphenoidal omnisnub bitetrahedral tetracontoctachoron
Rank4
TypeIsogonal
Notation
Bowers style acronymMedwosbitac
Elements
Cells144 rhombic disphenoids, 288+288 phyllic disphenoids, 576+576+576+576 irregular tetrahedra, 192 chiral triangular antipodiums, 48 snub tetrahedra
Faces192+192 triangles, 576+576+576+576+576+576+576+576+576+576+576+576 scalene triangles
Edges288+288+288+288+576+576+576+576+576+576
Vertices576
Vertex figure16-vertex polyhedron with 1 pentagon, 2 tetragons, and 21 triangles
Measures (edge length 1)
Central density1
Related polytopes
ArmyMedwosbitac
RegimentMedwosbitac
DualHexadecahedral pentacosiheptacontahexachoron
Abstract & topological properties
Flag count87552
Euler characteristic0
OrientableYes
Properties
SymmetryA3●B3, order 576
ConvexYes
NatureTame