| Uniform heptagonal antiprism
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| Type |
Prismatic uniform polyhedron
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| Elements |
F = 16, E = 28
V = 14 (χ = 2)
|
| Faces by sides |
14{3}+2{7}
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| Schläfli symbol |
s{2,14}
sr{2,7}
|
| Wythoff symbol |
| 2 2 7
|
| Coxeter diagram |
   
|
| Symmetry group |
D7d, [2+,14], (2*7), order 28
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| Rotation group |
D7, [7,2]+, (722), order 14
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| References |
U77(e)
|
| Dual |
Heptagonal trapezohedron
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| Properties |
convex
|
Vertex figure
3.3.3.7
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In geometry, the heptagonal antiprism is the fifth in an infinite set of antiprisms formed by two parallel polygons separated by a strip of triangles. In the case of the heptagonal antiprism, the caps are two regular heptagons. As a result, this polyhedron has 14 vertices, and 14 equilateral triangle faces. There are 14 edges where a triangle meets a heptagon, and another 14 edges where two triangles meet.
The heptagonal antiprism was first depicted by Johannes Kepler, as an example of the general construction of antiprisms.[1]
References
