Triangular-square duotegmatic octacontateron

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Triangular-square duotegmatic octacontateron
Rank5
TypeUniform dual
Notation
Coxeter diagramo4o3m3o3o
Elements
Tera80 triangular-square duotegums
Cells480 digonal disphenoids
Faces320+320 isosceles triangles
Edges40+80+160
Vertices10+32
Vertex figure10 icositetrachora, 32 joined pentachora
Measures (edge length 1)
Central density1
Related polytopes
DualPenteractitriacontaditeron
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryBC5, order 3840
ConvexYes
NatureTame

The triangular-square duotegmatic octacontateron, also called the joined demipenteract, is a convex isoteric polyteron with 80 identical triangular-square duotegums as tera. It can be obtained as the dual of the uniform penteractitriacontaditeron.

It can also be obtained as the convex hull of a penteract and a triacontaditeron, where the edges of the triacontaditeron are times the length of those of the penteract.