Tetracontoctachoric symmetry
(Redirected from F4×2)
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| Tetracontoctachoric symmetry | |
|---|---|
| Rank | 4 |
| Space | Spherical |
| Order | 2304 |
Tetracontoctachoric symmetry, also known as contic symmetry and notated as F4×2, is a 4D spherical symmetry group. It is the symmetry group of the tetracontoctachoron.
Subgroups[edit | edit source]
![[icon]](/wiki/File:Thah2.png){kind=small} | This section needs expansion. You can help by adding to it. |
- Chiral tetracontoctachoric symmetry
- Ionic tetracontoctachoric symmetry
- Icositetrachoric symmetry
- Chiral icositetrachoric symmetry
- Pyritoicositetrachoric symmetry
- Oxitic symmetry
- Toxitic symmetry
Convex polytopes with F4×2 symmetry[edit | edit source]
- Tetracontoctachoron (noble)/Bitetracontoctachoron (noble)
- Rectified tetracontoctachoron (isogonal)/Joined bitetracontoctachoron (isotopic)
- Truncated tetracontoctachoron (isogonal)/Tetrakis bitetracontoctachoron (isotopic)
- Small prismatotetracontoctachoron (isogonal)/Square-antitegmatic hecatontetracontatetrachoron (isotopic)
- Rectified small prismatotetracontoctachoron (isogonal)/Joined square-antitegmatic hecatontetracontatetrachoron (isotopic)
- Truncated small prismatotetracontoctachoron (isogonal)/Octakis square-antitegmatic hecatontetracontatetrachoron (isotopic)
- Great prismatotetracontoctachoron (isogonal)/Disphenoidal chiliahecatonpentacontadichoron (isotopic)
- Biambotetracontoctachoron (isogonal)/Bijungatotetracontoctachoron (isotopic)
- Bitruncatotetracontoctachoron (isogonal)/Biapiculatotetracontoctachoron (isotopic)
- Bimesotruncatotetracontoctachoron (isogonal)/Bimesoapiculatotetracontoctachoron (isotopic)
- Small birhombatotetracontoctachoron (isogonal)/Small biorthotetracontoctachoron (isotopic)
- Medial birhombatotetracontoctachoron (isogonal)/Medial biorthotetracontoctachoron (isotopic)
- Great birhombatotetracontoctachoron (isogonal)/Great biorthotetracontoctachoron (isotopic)
- Small bicantitruncatotetracontoctachoron (isogonal)/Small bimetatetracontoctachoron (isotopic)
- Medial bicantitruncatotetracontoctachoron (isogonal)/Medial bimetatetracontoctachoron (isotopic)
- Great bicantitruncatotetracontoctachoron (isogonal)/Great bimetatetracontoctachoron (isotopic)
- Transitional bicantitruncatotetracontoctachoron (isogonal)/Transitional bimetatetracontoctachoron (isotopic)
- Biprismatotetracontoctachoron (isogonal)/Bicrystallotetracontoctachoron (isotopic)
- Small biprismatorhombatotetracontoctachoron (isogonal)/Small bicrystallorthotetracontoctachoron (isotopic)
- Medial biprismatorhombatotetracontoctachoron (isogonal)/Medial bicrystallorthotetracontoctachoron (isotopic)
- Great biprismatorhombatotetracontoctachoron (isogonal)/Great bicrystallorthotetracontoctachoron (isotopic)
- Transitional biprismatorhombatotetracontoctachoron (isogonal)/Transitional bicrystallorthotetracontoctachoron (isotopic)
- Small biomnitruncatotetracontoctachoron (isogonal)/Small biomnistellatotetracontoctachoron (isotopic)
- Great biomnitruncatotetracontoctachoron (isogonal)/Great biomnistellatotetracontoctachoron (isotopic)
- Prismatic transitional biomnitruncatotetracontoctachoron (isogonal)/Prismatic transitional intersected biomnistellatotetracontoctachoron (isotopic)
- Cubic transitional biomnitruncatotetracontoctachoron (isogonal)/Cubic transitional intersected biomnistellatotetracontoctachoron (isotopic)