Joined triacontaditeron

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Joined triacontaditeron
Rank5
TypeUniform dual
Notation
Coxeter diagramo4m3o3o3o
Elements
Tera80 tetrahedral tegums
Cells320 triangular pyramids
Faces80 triangles, 320 isosceles triangles
Edges40+160
Vertices10+32
Vertex figure10 joined hexadecachora, 32 pentachora
Measures (edge length 1)
Central density1
Related polytopes
DualRectified penteract
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryB5, order 3840
ConvexYes
NatureTame

The joined triacontaditeron, also known as the tetrahedral-tegmatic octacontateron, is a convex isoteric polyteron with 80 identical tetrahedral tegums as tera. It can be obtained as the dual of the uniform rectified penteract.

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.