Disphenoidal hecatonicosachoron

Disphenoidal hecatonicosachoron
(OFF file)
Rank	4
Type	Uniform dual
Notation
Coxeter diagram	m3m3m3m ()
Elements
Cells	120 phyllic disphenoids
Faces	120+120 scalene triangles
Edges	20+30+40+60
Vertices	10+20
Vertex figure	20 hexagonal bipyramids, 10 tetrakis hexahedra
Measures (edge length 1)
Dichoral angle	$\arccos \left(-{\frac {9}{10}}\right)\approx 154.15807^{\circ }$
Central density	1
Related polytopes
Dual	Great prismatodecachoron
Abstract & topological properties
Flag count	2880
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	A4×2, order 240
Convex	Yes
Nature	Tame

The disphenoidal hecatonicosachoron is a convex isochoric polychoron with 120 phyllic disphenoids as cells. It can be obtained as the dual of the great prismatodecachoron.

It can also be constructed as the convex hull of 2 dual pentachora and 2 opposite rectified pentachora. If the pentachora have edge length 1, the rectified pentachora have edge length ${\frac {2}{3}}\approx 0.66667$.