Semistellated triacontaditeron

Semistellated triacontaditeron
Rank	5
Type	Uniform dual
Notation
Coxeter diagram	m3o3o3o *b3o ()
Elements
Tera	16 joined pentachora
Cells	80 triangular tegums
Faces	160 isosceles triangles
Edges	40+80
Vertices	10+16
Vertex figure	10 tesseracts, 16 pentachora
Measures (edge length 1)
Diteral angle	$\arccos \left(-{\frac {1}{5}}\right)\approx 101.53696^{\circ }$
Central density	1
Related polytopes
Dual	Demipenteract
Abstract & topological properties
Euler characteristic	2
Orientable	Yes
Properties
Symmetry	D5, order 1920
Convex	Yes
Nature	Tame

The semistellated triacontaditeron, also known as the digonal-tetrahedral duoantitegum, is a convex isoteric polyteron with 16 identical joined pentachora as facets. It can be obtained as the dual of the demipenteract.

It can also be seen as the convex hull of a triacontaditeron and a demipenteract in common D5 symmetry. If the triacontaditeron has edge length 1, the demipenteract has edge length ${\frac {3}{2}}=1.5$.

The ratio between the longest and shortest edges is 1:1.5.