Sphenoidal pentacosiheptacontahexachoron

From Polytope Wiki
Jump to navigation Jump to search
Sphenoidal pentacosiheptacontahexachoron
Rank4
TypeUniform dual
Notation
Coxeter diagramm3m4m3o ()
Elements
Cells576 sphenoids
Faces288+288 isosceles triangles, 576 scalene triangles
Edges96+144+192+288
Vertices24+24+96
Vertex figure96 triangular bipyramids, 24 triakis octahedra, 24 disdyakis dodecahedra
Measures (edge length 1)
Central density1
Related polytopes
DualGreat rhombated icositetrachoron
Abstract & topological properties
Flag count13824
Euler characteristic0
OrientableYes
Properties
SymmetryF4, order 1152
ConvexYes
NatureTame

The sphenoidal pentacosiheptacontahexachoron is a convex isochoric polychoron with 576 sphenoids as cells. It can be obtained as the dual of the great rhombated icositetrachoron.

It can also be constructed as the convex hull of 2 dual icositetrachora and a rectified icositetrachoron. If the smaller icositetrachoron has edge length 1, the larger icositetrachoron has edge length and the rectified icositetrachoron has edge length .