Square duoprismatic symmetry

BC2≀S2, also known as square duoprismatic symmetry, is a 4D spherical Coxeter group. It is the symmetry group of the square duoprism and square duotegum.

Convex polytopes with A2×A2 symmetry

 * Square duoprism (noble)/Square duotegum (noble)
 * Rectified square duoprism (isogonal)/Joined square duoprism (isotopic)
 * Truncated square duoprism (isogonal)/Tetrakis square duotegum (isotopic)
 * Ditetragonal duoprism (isogonal)/Tetrambic duotegum (isotopic)
 * Ditetragonal duotegum (isogonal)/Tetrambic duoprism (isotopic)
 * Square ditetragoltriate (isogonal)/Square tetrambitriate (isotopic)
 * Ditetragonal ditetragoltriate (isogonal)/Tetrambic tetrambitriate (isotopic)
 * Square antiditetragoltriate (isogonal)/Square antitetrambitriate (isotopic)
 * Square duoexpandoprism (isogonal)/Square duoexpandotegum (isotopic)
 * Square duotruncatoprism (isogonal)/Square duotruncatotegum (isotopic)
 * Square duoantifrustoprism (isogonal)/Square duoantifrustotegum (isotopic)
 * Square duotruncatoalterprism (isogonal)/Square duotruncatoaltertegum (isotopic)
 * Square duotransitionalterprism (isogonal)/Square duotransitionaltertegum (isotopic)
 * Square truncatoprismantifrustoid (isogonal)/Square apiculatotegmocrystalloid (isotopic)
 * Ditetragonal duotransitionalterprism (isogonal)/Tetrambic duotransitionaltertegum (isotopic)