Icositetricositetrachoron

From Polytope Wiki
Jump to navigation Jump to search
Icositetricositetrachoron
Rank4
TypeSemi-uniform
Notation
Coxeter diagramo3x4y3o
Elements
Cells24+24 truncated cubes
Faces96+96 triangles, 144 ditetragons
Edges288+288
Vertices288
Vertex figureDigonal disphenoid
Measures (edge lengths a, b)
Circumradius
Hypervolume
Dichoral anglesTic–8–tic: 135°
 Tic–3–tic: 120°
Central density1
Related polytopes
DualDisphenoidal diacosioctacontoctachoron
ConjugateGreat icositetricositetrachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryF4, order 1152
ConvexYes
NatureTame

The icositetricositetrachoron is a convex semi-uniform polychoron that is a variant of the tetracontoctachoron with only regular icositetrachoric and not doubled icositetrachoric symmetry. As such it can be represented by o3x4y3o and has 48 truncated cubes of two types (forms x4y3o and y4x3o), with two edge lengths.