Heptagrammic retroprism

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Heptagrammic retroprism
File:7'5-ap.png
Rank3
TypeIsogonal
Elements
Faces14 isosceles triangles, 2 heptagrams
Edges14+14
Vertices14
Vertex figureCrossed isosceles trapezoid
Related polytopes
ArmyHeap
Regiment*
DualHeptagrammic concave antitegum
ConjugatesHeptagonal antiprism, great heptagrammic antiprism
Abstract & topological properties
Euler characteristic2
OrientableYes
Genus0
Properties
SymmetryI2(14)×A1/2, order 28
ConvexNo
NatureTame

The heptagonal retroprism, also called the heptagrammic crossed antiprism, is a prismatic isogonal polyhedron. It consists of 2 base heptagrams and 14 isosceles triangles. Each vertex joins one heptagram and three triangles. It is a crossed antiprism based on a heptagram, seen as a 7/5-gon rather than 7/2. 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 heptagrams.

External links[edit | edit source]