Dodecagrammic antiprism
In geometry, the dodecagrammic antiprism is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon caps, in this case two dodecagrams.
| Dodecagrammic antiprism | |
|---|---|
 | |
| Type | Uniform polyhedron |
| Faces | 2 {12} 24 {3} |
| Edges | 48 |
| Vertices | 24 |
| Vertex configuration | 12/5.3.3.3 |
| Wythoff symbol | |2 2 12/5 |
| Schläfli symbol | s{2,24/5} |
| Coxeter diagram |        |
| Symmetry group | D12d |
| Dual polyhedron | Dodecagrammic deltohedron |
| Properties | nonconvex |
Antiprisms are similar to prisms except the bases are twisted relative to each other, and that the side faces are triangles, rather than quadrilaterals.
In the case of a uniform 12/5 base, one usually considers the case where its copy is offset by half'. Extra regularity is obtained by the line connecting the base centers being perpendicular to the base planes, making it a right antiprism. As faces, it has the two dodecagonal bases and, connecting those bases, 24 isosceles triangles.
See also
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