Uniform heptagonal antiprism | |
---|---|
Type | Prismatic uniform polyhedron |
Elements | F = 16, E = 28 V = 14 (χ = 2) |
Faces by sides | 14{3}+2{7} |
Schläfli symbol | s{2,14} sr{2,7} |
Wythoff symbol | | 2 2 7 |
Coxeter diagram | |
Symmetry group | D_{7d}, [2^{+},14], (2*7), order 28 |
Rotation group | D_{7}, [7,2]^{+}, (722), order 14 |
References | U_{77(e)} |
Dual | Heptagonal trapezohedron |
Properties | convex |
Vertex figure 3.3.3.7 |
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]}