Hendecahedral diacosioctacontoctachoron

The hendecahedral diacosioctacontoctachoron is a convex isochoric polychoron with 288 identical cells. It can be obtained as the dual of the snub bitetrahedral tetracontoctachoron.

Hendecahedral diacosioctacontoctachoron
Rank4
TypeIsotopic
Elements
Cells288 10-vertex hendecahedra
Faces576 scalene triangles, 288 isosceles triangles, 576 irregular tetragons, 144 rhombi
Edges192+192+288+576+576
Vertices48+192+288
Vertex figure288 phyllic disphenoids, 192 pyramidal-symmetric triangular gyrotegums, 48 tetartoids
Measures (edge length 1)
Central density1
Related polytopes
DualSnub bitetrahedral tetracontoctachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryA3●B3, order 576
ConvexYes
NatureTame

Each cell of this polychoron has bilateral symmetry, with 1 rhombus, 4 irregular tetragons, 2 isosceles triangles, and 4 scalene triangles for faces.