Great heptagrammic antiprism

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Great heptagrammic antiprism
Rank3
TypeUniform
Notation
Bowers style acronymGishap
Coxeter diagrams2s14/3o
Elements
Faces14 triangles, 2 great heptagrams
Edges14+14
Vertices14
Vertex figureIsosceles trapezoid, edge lengths 1, 1, 1, 2cos(3π/7)
Measures (edge length 1)
Circumradius
Volume
Dihedral angles7/3–3:
 3–3:
Height
Central density3
Number of external pieces72
Level of complexity24
Related polytopes
ArmyNon-uniform Heap, edge lengths (base), (sides)
RegimentGishap
DualGreat heptagrammic antitegum
ConjugateHeptagonal antiprism
Convex coreHeptagonal antibifrustum
Abstract & topological properties
Flag count112
Euler characteristic2
OrientableYes
Genus0
Properties
Symmetry(I2(14)×A1)/2, order 28
ConvexNo
NatureTame

The great heptagrammic antiprism, or gishap, is a prismatic uniform polyhedron. It consists of 14 triangles and 2 great heptagrams. Each vertex joins one great heptagram and three triangles. As the name suggests, it is an antiprism based on a great heptagram.

Vertex coordinates[edit | edit source]

The vertices of a great heptagrammic antiprism, centered at the origin and with edge length 2sin(3π/7), are given by the following points, as well as their central inversions:

where

External links[edit | edit source]