Square antiprism
| Uniform square antiprism | |
|---|---|
| Type | Prismatic uniform polyhedron |
| Elements | F = 10, E = 16 V = 8 (χ = 2) |
| Faces by sides | 8{3}+2{4} |
| Schläfli symbol | s{2,8} sr{2,4} |
| Wythoff symbol | | 2 2 4 |
| Coxeter diagram | |
| Symmetry group | D4d, [2+,8], (2*4), order 16 |
| Rotation group | D4, [4,2]+, (442), order 8 |
| References | U77(b) |
| Dual | Tetragonal trapezohedron |
| Properties | convex |
Vertex figure 3.3.3.4 | |
In geometry, the square antiprism is the second in an infinite family of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps. It is also known as an anticube.
If all its faces are regular, it is a semiregular polyhedron or uniform polyhedron.
A nonuniform D4-symmetric variant is the cell of the noble square antiprismatic 72-cell.