Small disphenoidal omnisnub bitetrahedral tetracontoctachoron

From Polytope Wiki
Revision as of 11:32, 15 July 2023 by The New Kid (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
Small disphenoidal omnisnub bitetrahedral tetracontoctachoron
Rank4
TypeIsogonal
Notation
Bowers style acronymSidwosbitac
Elements
Cells144 rhombic disphenoids, 288+288 phyllic disphenoids, 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 scalene triangles
Edges288+288+288+288+576+576+576+576+576
Vertices576
Vertex figure14-vertex polyhedron with 1 pentagon, 2 tetragons, and 17 triangles
Measures (edge length 1)
Central density1
Related polytopes
ArmySidwosbitac
RegimentSidwosbitac
DualSmall tetradecahedral pentacosiheptacontahexachoron
Abstract & topological properties
Flag count73728
Euler characteristic0
OrientableYes
Properties
SymmetryA3●B3, order 576
ConvexYes
NatureTame

The small disphenoidal omnisnub bitetrahedral tetracontoctachoron or sidwosbitac 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 1728 irregular tetrahedra of three kinds. 1 snub tetrahedron, 2 triangular antipodiums, 1 rhombic disphenoid, 4 phyllic disphenoids, and 12 irregular tetrahedra join at each vertex. However, it cannot be made uniform.