Chiral tetracontoctachoric symmetry
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| Chiral tetracontoctachoric symmetry | |
|---|---|
| Rank | 4 |
| Space | Spherical |
| Order | 1152 |
Chiral tetracontoctachoric symmetry, also known as kicontic symmetry and notated as (F4×2)+, is a 4D spherical symmetry group. It is the symmetry group of the snub tetracontoctachoron.
Subgroups[edit | edit source]
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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)
- Snub tetracontoctachoron (isogonal)/Enneahedral pentacosiheptacontahexachoron (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 biomnisnub tetracontoctachoron (isogonal)/Small dodecahedral chiliahecatonpentacontadichoron (isotopic)
- Medial biomnisnub tetracontoctachoron (isogonal)/Medial tetradecahedral chiliahecatonpentacontadichoron (isotopic)
- Great biomnisnub tetracontoctachoron (isogonal)/Great tetradecahedral chiliahecatonpentacontadichoron (isotopic)
- Small gyrowedged biomnisnub tetracontoctachoron (isogonal)/Small gyronotch intersected hendecahedral chiliahecatonpentacontadichoron (isotopic)
- Great gyrowedged biomnisnub tetracontoctachoron (isogonal)/Great gyronotch intersected hendecahedral chiliahecatonpentacontadichoron (isotopic)
- Antipodial biomnisnub tetracontoctachoron (isogonal)/Tridecahedral chiliahecatonpentacontadichoron (isotopic)
- Prismatic transitional biomnisnub tetracontoctachoron (isogonal)/Decahedral chiliahecatonpentacontadichoron (isotopic)
- Cubic transitional biomnisnub tetracontoctachoron (isogonal)/Transitional intersected enneahedral chiliahecatonpentacontadichoron (isotopic)