Great heptagrammic antiprism
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Great heptagrammic antiprism | |
---|---|
Rank | 3 |
Type | Uniform |
Notation | |
Bowers style acronym | Gishap |
Coxeter diagram | s2s14/3o |
Elements | |
Faces | 14 triangles, 2 great heptagrams |
Edges | 14+14 |
Vertices | 14 |
Vertex figure | Isosceles trapezoid, edge lengths 1, 1, 1, 2cos(3π/7) |
Measures (edge length 1) | |
Circumradius | |
Volume | |
Dihedral angles | 7/3–3: |
3–3: | |
Height | |
Central density | 3 |
Number of external pieces | 72 |
Level of complexity | 24 |
Related polytopes | |
Army | Non-uniform Heap, edge lengths (base), (sides) |
Regiment | Gishap |
Dual | Great heptagrammic antitegum |
Conjugate | Heptagonal antiprism |
Convex core | Heptagonal antibifrustum |
Abstract & topological properties | |
Flag count | 112 |
Euler characteristic | 2 |
Orientable | Yes |
Genus | 0 |
Properties | |
Symmetry | (I2(14)×A1)/2, order 28 |
Convex | No |
Nature | Tame |
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]
- Wikipedia contributors. "Heptagrammic antiprism (7/3)".
- McCooey, David. "Heptagrammic 7/3 Antiprism"