Chiral tetracontoctachoric symmetry

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.

Convex polytopes with (F4×2)+ symmetry

 * Tetracontoctachoron (noble)/Bitetracontoctachoron (noble)
 * Rectified tetracontoctachoron (isogonal)/Joined tetracontoctachoron (isotopic)
 * Truncated tetracontoctachoron (isogonal)/Tetrakis bitetracontoctachoron (isotopic)
 * Small prismatotetracontoctachoron (isogonal)/Square-antitegmatic hecatontetracontatetrachoron (isotopic)
 * Rectified small prismatotetracontoctachoron (isogonal)/Joined small prismatotetracontoctachoron (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)