Tetracontoctachoric symmetry

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.

Convex polytopes with F4×2 symmetry

 * 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)