Joined penteract

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Joined penteract
Rank5
TypeUniform dual
Notation
Coxeter diagramo4o3o3m3o
Elements
Tera40 cubic tegums
Cells240 square pyramids
Faces320 isosceles triangles, 80 squares
Edges80+160
Vertices10+32
Vertex figure10 tesseracts, 32 joined pentachora
Measures (edge length 1)
Central density1
Related polytopes
DualRectified triacontaditeron
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryB5, order 3840
ConvexYes
NatureTame

The joined penteract, also known as the cubic-tegmatic tetracontateron, is a convex isoteric polyteron with 40 identical cubic tegums as tera. It can be obtained as the dual of the uniform rectified triacontaditeron.

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.