# Triangular duoprismatic symmetry

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Triangular duoprismatic symmetry | |
---|---|

Rank | 4 |

Space | Spherical |

Order | 72 |

**Triangular duoprismatic symmetry**, notated as **A _{2}≀S_{2}**, is a 4D spherical symmetry group. It is the symmetry group of the triangular duoprism and triangular duotegum.

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

- Triangular duoprism (noble)/Triangular duotegum (noble)
- Rectified triangular duoprism (isogonal)/Joined triangular duoprism (isotopic)
- Truncated triangular duoprism (isogonal)/Tetrakis triangular duotegum (isotopic)
- Ditrigonal duoprism (isogonal)/Triambic duotegum (isotopic)
- Ditrigonal duotegum (isogonal)/Triambic duoprism (isotopic)
- Triangular ditetragoltriate (isogonal)/Triangular tetrambitriate (isotopic)
- Ditrigonal ditetragoltriate (isogonal)/Triambic tetrambitriate (isotopic)
- Triangular antiditetragoltriate (isogonal)/Triangular antitetrambitriate (isotopic)
- Triangular duoexpandoprism (isogonal)/Triangular duoexpandotegum (isotopic)
- Triangular duotruncatoprism (isogonal)/Triangular duotruncatotegum (isotopic)
- Triangular duoantifrustoprism (isogonal)/Triangular duoantifrustotegum (isotopic)
- Triangular duotruncatoalterprism (isogonal)/Triangular duotruncatoaltertegum (isotopic)
- Triangular duotransitionalterprism (isogonal)/Triangular duotransitionaltertegum (isotopic)
- Triangular truncatoprismantifrustoid (isogonal)/Triangular apiculatotegmocrystalloid (isotopic)
- Bitriangular duotransitionalterprism (isogonal)/Bitriangular duotransitionaltertegum (isotopic)