Icositetrachoric symmetry

F4, also known as icoic symmetry or icositetrachoric symmetry, is a 4D spherical Coxeter group. It is the symmetry group of the regular icositetrachoron.

Convex polytopes with F4 symmetry

 * Icositetrachoron (regular)
 * Rectified icositetrachoron (isogonal)/Joined icositetrachoron (isotopic)
 * Truncated icositetrachoron (isogonal)/Octakis icositetrachoron (isotopic)
 * Icositetraicositetrachoron (isogonal)/Disphenoidal diacosioctacontoctachoron (isotopic)
 * Small rhombated icositetrachoron (isogonal)/Notched diacosioctacontoctachoron (isotopic)
 * Great rhombated icositetrachoron (isogonal)/Sphenoidal pentacosiheptacontahexachoron (isotopic)
 * Small disprismatoicositetraicositetrachoron (isogonal)/Square-antitegmatic hecatontetracontatetrachoron (isotopic)
 * Prismatorhombated icositetrachoron (isogonal)/Deltopyramidal pentacosiheptacontahexachoron (isotopic)
 * Great disprismatoicositetraicositetrachoron (isogonal)/Tetrahedral chiliahecatonpentacontadichoron (isotopic)