Pentagonal duoprismatic symmetry

H2≀S2, also known as pentagonal duoprismatic symmetry, is a 4D spherical Coxeter group. It is the symmetry group of the pentagonal duoprism and pentagonal duotegum.

Convex polytopes with H2≀S2 symmetry

 * Pentagonal duoprism (noble)/Pentagonal duotegum (noble)
 * Rectified pentagonal duoprism (isogonal)/Joined pentagonal duoprism (isotopic)
 * Truncated pentagonal duoprism (isogonal)/Tetrakis pentagonal duotegum (isotopic)
 * Dipentagonal duoprism (isogonal)/Pentambic duotegum (isotopic)
 * Dipentagonal duotegum (isogonal)/Pentambic duoprism (isotopic)
 * Pentagonal ditetragoltriate (isogonal)/Pentagonal tetrambitriate (isotopic)
 * Dipentagonal ditetragoltriate (isogonal)/Pentambic tetrambitriate (isotopic)
 * Pentagonal antiditetragoltriate (isogonal)/Pentagonal antitetrambitriate (isotopic)
 * Pentagonal duoexpandoprism (isogonal)/Pentagonal duoexpandotegum (isotopic)
 * Pentagonal duotruncatoprism (isogonal)/Pentagonal duotruncatotegum (isotopic)
 * Pentagonal duoantifrustoprism (isogonal)/Pentagonal duoantifrustotegum (isotopic)
 * Pentagonal duotruncatoalterprism (isogonal)/Pentagonal duotruncatoaltertegum (isotopic)
 * Pentagonal duotransitionalterprism (isogonal)/Pentagonal duotransitionaltertegum (isotopic)
 * Pentagonal truncatoprismantifrustoid (isogonal)/Pentagonal apiculatotegmocrystalloid (isotopic)
 * Ditrigonal duotransitionalterprism (isogonal)/Pentambic duotransitionaltertegum (isotopic)