Square symmetry

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

 * Chiral square symmetry (normal, maximal)
 * Rectangular symmetry x2 (normal, maximal)
 * Inversion symmetry (normal)
 * Reflection symmetry x2
 * Identity symmetry (normal)

Convex polytopes with B2 symmetry

 * Square (regular)
 * Ditetragon (isogonal)/Tetrambus (isotopic)