# Oxitic symmetry

**Oxitic symmetry**, notated **A _{3}●B_{3}**,

**F**, or

_{4}+×2/2**[[3⁺,4,3⁺]]**, is a 4D spherical symmetry group. It is the swirl product of the octahedral symmetry and tetrahedral symmetry groups.

Oxitic symmetry | |
---|---|

Rank | 4 |

Space | Spherical |

Order | 576 |

## Subgroups edit

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## Convex polytopes with A_{3}●B_{3} symmetry
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- Antipodial omnisnub bitetrahedral tetracontoctachoron (isogonal)/Trapezohedral intersected tetradecahedral pentacosiheptacontahexachoron (isotopic)
- Antiwedged omnisnub bitetrahedral tetracontoctachoron (isogonal)/Antiwedge intersected tetradecahedral pentacosiheptacontahexachoron (isotopic)
- Bitetrahedral tetracontoctachoron (isogonal)/Pentadecahedral hecatonenneacontadichoron (isotopic)
- Bitruncatotetrahedral tetracontoctachoron (isogonal)/Decahedral pentacosiheptacontahexachoron (isotopic)
- Great disphenoidal omnisnub bitetrahedral tetracontoctachoron (isogonal)/Heptadecahedral pentacosiheptacontahexachoron (isotopic)
- Great omnisnub bitetrahedral tetracontoctachoron (isogonal)/Great dodecahedral pentacosiheptacontahexachoron (isotopic)
- Gyrowedged omnisnub bitetrahedral tetracontoctachoron (isogonal)/Tridecahedral pentacosiheptacontahexachoron (isotopic)
- Medial disphenoidal omnisnub bitetrahedral tetracontoctachoron (isogonal)/Hexadecahedral pentacosiheptacontahexachoron (isotopic)
- Small disphenoidal omnisnub bitetrahedral tetracontoctachoron (isogonal)/Small tetradecahedral pentacosiheptacontahexachoron (isotopic)
- Small omnisnub bitetrahedral tetracontoctachoron (isogonal)/Small dodecahedral pentacosiheptacontahexachoron (isotopic)
- Snub bitetrahedral tetracontoctachoron (isogonal)/Hendecahedral diacosioctacontoctachoron (isotopic)
- Tetrahedral transitional omnisnub bitetrahedral tetracontoctachoron (isogonal)/Transitional intersected enneahedral pentacosiheptacontahexachoron (isotopic)
- Triangular transitional omnisnub bitetrahedral tetracontoctachoron (isogonal)/Transitional intersected decahedral pentacosiheptacontahexachoron (isotopic)

## External links edit

- Bowers, Jonathan. "Symmetries of Four Dimensions" (#Oxitic).