# Square duoprismatic symmetry

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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 BC_{2}≀S_{2} symmetry[edit | edit source]

- 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)