Jump to navigation Jump to search
|Faces||8 isosceles triangles, 2 squares|
|Vertex figure||Crossed isosceles trapezoid|
|Dual||Square concave antitegum|
|Abstract & topological properties|
|Symmetry||(I2(8)×A1)/2, order 16|
The square retroprism, also called the square crossed antiprism, is a prismatic isogonal polyhedron. It consists of 2 base squares and 8 isosceles triangles. Each vertex joins one square and three triangles. It is a crossed antiprism based on a square, seen as a 4/3-gon rather than 4/1. It cannot be made uniform.
It is isomorphic to the square antiprism.
In vertex figures[edit | edit source]
A square retroprism with base edges of length 1 and side edges of length occurs as the vertex figure of the small distetracontoctachoron. One using side edges of length occurs as vertex figure of the quasiprismatotetracontoctachoron.
Related polyhedra[edit | edit source]
There are an infinite amount of prismatic isogonal compounds that are the crossed antiprisms of compounds of squares.
External links[edit | edit source]
- Klitzing, Richard. "n/d-ap".