Oxitic symmetry
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| Oxitic symmetry | |
|---|---|
| Rank | 4 |
| Space | Spherical |
| Order | 576 |
Oxitic symmetry, notated A3●B3, F4+×2/2, or [[3⁺,4,3⁺]], is a 4D spherical symmetry group. It is the swirl product of the octahedral symmetry and tetrahedral symmetry groups.
Subgroups[edit | edit source]
![[icon]](/wiki/File:Thah2.png){kind=small} | This section needs expansion. You can help by adding to it. |
Convex polytopes with A3●B3 symmetry[edit | edit source]
- 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)
- Triangular transitional omnisnub bitetrahedral tetracontoctachoron (isogonal)/Transitional intersected decahedral pentacosiheptacontahexachoron (isotopic)
External links[edit | edit source]
- Bowers, Jonathan. "Symmetries of Four Dimensions" (#Oxitic).