Icositetrachoric symmetry
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| Icositetrachoric symmetry | |
|---|---|
| Rank | 4 |
| Space | Spherical |
| Order | 1152 |
| Info | |
| Coxeter diagram |    |
| Elements | |
| Axes | 24+24 B3 96+96  A2×A1 |
| Related polytopes | |
| Omnitruncate | Great disprismatoicositetricositetrachoron |
Icositetrachoric symmetry, also known as icoic symmetry and notated as F4, is a 4D spherical Coxeter group. It is the symmetry group of the regular icositetrachoron.
Subgroups[edit | edit source]
![[icon]](/wiki/File:SPMO_vertex.svg) | This section needs expansion. You can help by adding to it. |
Convex polytopes with F4 symmetry[edit | edit source]
- Icositetrachoron (regular)
- Rectified icositetrachoron (isogonal)/Joined icositetrachoron (isotopic)
- Truncated icositetrachoron (isogonal)/Octakis icositetrachoron (isotopic)
- Icositetricositetrachoron (isogonal)/Disphenoidal diacosioctacontoctachoron (isotopic)
- Small rhombated icositetrachoron (isogonal)/Notched diacosioctacontoctachoron (isotopic)
- Great rhombated icositetrachoron (isogonal)/Sphenoidal pentacosiheptacontahexachoron (isotopic)
- Small disprismatoicositetricositetrachoron (isogonal)/Square-antitegmatic hecatontetracontatetrachoron (isotopic)
- Prismatorhombated icositetrachoron (isogonal)/Deltopyramidal pentacosiheptacontahexachoron (isotopic)
- Great disprismatoicositetricositetrachoron (isogonal)/Tetrahedral chiliahecatonpentacontadichoron (isotopic)
External links[edit | edit source]
- Wikipedia contributors. "F4 (mathematics)".