Heptagonal retroprism

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Heptagonal retroprism
Rank3
TypeIsogonal
Elements
Faces14 isosceles triangles, 2 heptagons
Edges14+14
Vertices14
Vertex figureCrossed isosceles trapezoid
Related polytopes
ArmyHep
Regiment*
DualHeptagonal concave antitegum
ConjugatesHeptagrammic antiprism, great heptagrammic retroprism
Abstract & topological properties
Euler characteristic2
OrientableYes
Genus0
Properties
SymmetryI2(7)×A1, order 28
ConvexNo
NatureTame

The heptagonal retroprism, also called the heptagonal crossed antiprism, is a prismatic isogonal polyhedron. It consists of 2 base heptagons and 14 isosceles triangles. Each vertex joins one heptagon and three triangles. It is a crossed antiprism based on a heptagon, seen as a 7/6-gon rather than 7/1. It cannot be made uniform.

It is isomorphic to the heptagonal antiprism.

Related polyhedra[edit | edit source]

There are an infinite amount of prismatic isogonal compounds that are the crossed antiprisms of compounds of heptagons.

External links[edit | edit source]