Disphenoidal triacontachoron

From Polytope Wiki
Jump to navigation Jump to search
Disphenoidal triacontachoron
Rank4
TypeIsotopic
Elements
Cells30 digonal disphenoids
Faces30+30 isosceles triangles
Edges10+10+20
Vertices5+5
Vertex figure5+5 triakis tetrahedra
Measures (edge length 1)
Central density1
Related polytopes
DualPentapentachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryA4, order 120
ConvexYes
NatureTame

The disphenoidal triacontachoron is a convex isochoric polychoron with 30 digonal disphenoids as cells. It is a variant of the bidecachoron with single pentachoric symmetry.

It can also be formed as the convex hull of two dually oriented pentachora where the larger one has edges less than times the length of those of the smaller one.