# Square duoprismatic symmetry

(Redirected from B2≀S2)

Square duoprismatic symmetry | |
---|---|

Rank | 4 |

Space | Spherical |

Order | 128 |

**Square duoprismatic symmetry**, notated as **B _{2}≀S_{2}** or

**BC**, is a 4D spherical symmetry group. It is the symmetry group of the square duoprism and square duotegum.

_{2}≀S_{2}### Convex polytopes with B_{2}≀S_{2} symmetry[edit | edit source]

- 8/16: Square duotegum (noble)/Square duoprism (noble)
- 16: Ditetragonal duotegum (isogonal)/Tetrambic duoprism (isotopic)
- 32: Square ditetragoltriate (isogonal)/Square tetrambitriate (isotopic)
- 32: Square antiditetragoltriate (isogonal)/Square antitetrambitriate (isotopic)
- 32: Square duoantifrustoprism (isogonal)/Square duoantifrustotegum (isotopic)
- 32: Rectified square duoprism (isogonal)/Joined square duotegum (isotopic)
- 64: Square duoexpandoprism (isogonal)/Square duoexpandotegum (isotopic)
- 64: Square duotruncatoalterprism (isogonal)/Square duotruncatoaltertegum (isotopic)
- 64: Square duotruncatoprism (isogonal)/Square duotruncatotegum (isotopic)
- 64: Square duotransitionalterprism (isogonal)/Square duotransitionaltertegum (isotopic)
- 64: Truncated square duoprism (isogonal)/Tetrakis square duotegum (isotopic)
- 64: Ditetragonal duoprism (isogonal)/Tetrambic duotegum (isotopic)
- 128: Square duobevelprism (isogonal)/Square duobeveltegum (isotopic)
- 128: Square duotruncatofrustoprism (isogonal)/Square duotruncatofrustotegum (isotopic)
- 128: Bitetragonal duotransitionalterprism (isogonal)/Bitetragonal duotransitionaltertegum (isotopic)