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|Faces||10 isosceles triangles, 2 pentagons|
|Vertex figure||Crossed isosceles trapezoid|
|Dual||Pentagonal concave antitegum|
|Abstract & topological properties|
|Symmetry||H2×A1, order 20|
The pentagonal retroprism, also called the pentagonal crossed antiprism, is a prismatic isogonal polyhedron. It consists of 2 base pentagons and 10 isosceles triangles. Each vertex joins one pentagon and three triangles. It is a crossed antiprism based on a pentagon, seen as a 5/4-gon rather than 5/1. It cannot be made uniform.
It is isomorphic to the pentagonal antiprism.
In vertex figures[edit | edit source]
Pentagonal retroprisms appear as vertex figures of four uniform polychora: the small pentagonal retroprismatoverted dishecatonicosachoron, great pentagonal retroprismatoverted dishecatonicosachoron, pentagonal retroprismatoverted hexacosihecatonicosachoron, and quasiprismatohecatonicosachoron.
External links[edit | edit source]
- Klitzing, Richard. "n/d-ap".