# Disphenoidal diacosioctacontoctachoron

Disphenoidal diacosioctacontoctachoron
Rank4
TypeIsotopic
SpaceSpherical
Elements
Cells288 digonal disphenoids
Faces288+288 isosceles triangles
Edges96+96+144
Vertices24+24
Vertex figure24+24 triakis octahedra
Measures (edge length 1)
Central density1
Related polytopes
DualIcositetricositetrachoron
Abstract properties
Euler characteristic0
Topological properties
OrientableYes
Properties
SymmetryF4, order 1152
ConvexYes
NatureTame

The disphenoidal diacosioctacontoctachoron is a convex isochoric polychoron with 288 digonal disphenoids as cells. It is a variant of the bitetracontoctachoron with single icositetrachoric symmetry.

It can also be formed as the convex hull of two dually oriented icositetrachora where the larger one has edges less than ${\displaystyle \frac{3\sqrt2}{4}}$ times the length of those of the smaller one.