Triangular transitional omnisnub bitetrahedral tetracontoctachoron

From Polytope Wiki
Jump to navigation Jump to search
Triangular transitional omnisnub bitetrahedral tetracontoctachoron
Rank4
TypeIsogonal
Notation
Bowers style acronymTitosbetic
Elements
Cells144 rhombic disphenoids, 288 phyllic disphenoids, 576 irregular tetrahedra, 48 snub tetrahedra, 192 gyrated tridiminished icosahedra
Faces192+192 triangles, 576+576+576+576+576 scalene triangles, 288 isosceles trapezoids
Edges288+288+288+288+576+576+576
Vertices576
Vertex figure10-vertex polyhedron
Measures (edge length 1)
Central density1
Related polytopes
ArmyTitosbetic
RegimentTitosbetic
DualTransitional intersected decahedral pentacosiheptacontahexachoron
Abstract & topological properties
Flag count43776
Euler characteristic0
OrientableYes
Properties
SymmetryA3●B3, order 576
ConvexYes
NatureTame

The triangular transitional omnisnub bitetrahedral tetracontoctachoron or titosbetic is a convex isogonal polychoron that consists of 48 snub tetrahedra, 192 gyrated tridiminished icosahedra, 144 rhombic disphenoids, 288 phyllic disphenoids, and 576 irregular tetrahedra. 1 snub tetrahedron, 3 gyrated tridiminished icosahedra, 1 rhombic disphenoid, 2 phyllic disphenoids, and 4 irregular tetrahedra join at each vertex. However, it cannot be made scaliform.