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

 * BC2+ (maximal)
 * K2 (maximal)
 * K2+
 * A1×I
 * I×I

Convex polytopes with BC2 symmetry

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