Square symmetry
| Square symmetry | |
|---|---|
 | |
| Rank | 2 |
| Space | Spherical |
| Order | 8 |
| Info | |
| Coxeter diagram |   |
| Elements | |
| Axes | 4 × A1 |
| Related polytopes | |
| Omnitruncate | Ditetragon |
Square symmetry, also notated as B2 or BC2, is a 2D spherical Coxeter group. It is the symmetry group of the square, with 4 rotation and 4 reflection elements.
Subgroups[edit | edit source]
- Chiral square symmetry (normal, maximal)
- Rectangular symmetry x2 (normal, maximal)
- Inversion symmetry (normal)
- Reflection symmetry x2
- Identity symmetry (normal)
Convex polytopes with B2 symmetry[edit | edit source]
- Square (regular)
- Ditetragon (isogonal)/Tetrambus (isotopic)