Pentagrammic tegum

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Pentagrammic tegum
Rank3
Notation
Coxeter diagram
Elements
Faces10 isosceles triangles
Edges5 + 10
Vertices7
Vertex figure5 squares + 2 pentagrams
Measures (edge length 1)
Central density2
Related polytopes
DualPentagrammic prism
Convex hullNon-uniform pentagonal tegum
Abstract & topological properties
Euler characteristic2
OrientableYes
Genus0
Properties
ConvexNo

The pentagrammic tegum is a star polyhedron. It can be constructed as the dual of the pentagrammic prism or as the tegum product of the pentagram and a line segment.

Vertex coordinates[edit | edit source]

A pentagrammic tegum of edge length 1 has the following vertices: