Decachoric symmetry

Decachoric symmetry, also known as decaic symmetry and notated as A4×2, is a 4D spherical symmetry group. It is the symmetry group of the decachoron.

Convex polytopes with A4×2 symmetry

 * Decachoron (noble)/Bidecachoron (noble)
 * Rectified decachoron (isogonal)/Joined decachoron (isotopic)
 * Truncated decachoron (isogonal)/Tetrakis bidecachoron (isotopic)
 * Small prismatodecachoron (isogonal)/Triangular-antitegmatic icosachoron (isotopic)
 * Rectified small prismatodecachoron (isogonal)/Joined small prismatodecachoron (isotopic)
 * Truncated small prismatodecachoron (isogonal)/Hexakis triangular-antitegmatic icosachoron (isotopic)
 * Great prismatodecachoron (isogonal)/Disphenoidal hecatonicosachoron (isotopic)
 * Biambodecachoron (isogonal)/Bijungatodecachoron (isotopic)
 * Bitruncatodecachoron (isogonal)/Biapiculatodecachoron (isotopic)
 * Bimesotruncatodecachoron (isogonal)/Bimesoapiculatodecachoron (isotopic)
 * Small birhombatodecachoron (isogonal)/Small biorthodecachoron (isotopic)
 * Medial birhombatodecachoron (isogonal)/Medial biorthodecachoron (isotopic)
 * Great birhombatodecachoron (isogonal)/Great biorthodecachoron (isotopic)
 * Small bicantitruncatodecachoron (isogonal)/Small bimetadecachoron (isotopic)
 * Medial bicantitruncatodecachoron (isogonal)/Medial bimetadecachoron (isotopic)
 * Great bicantitruncatodecachoron (isogonal)/Great bimetadecachoron (isotopic)
 * Transitional bicantitruncatodecachoron (isogonal)/Transitional bimetadecachoron (isotopic)
 * Biprismatodecachoron (isogonal)/Bicrystallodecachoron (isotopic)
 * Small biprismatorhombatodecachoron (isogonal)/Small bicrystallorthodecachoron (isotopic)
 * Medial biprismatorhombatodecachoron (isogonal)/Medial bicrystallorthodecachoron (isotopic)
 * Great biprismatorhombatodecachoron (isogonal)/Great bicrystallorthodecachoron (isotopic)
 * Transitional biprismatorhombatodecachoron (isogonal)/Transitional bicrystallorthodecachoron (isotopic)
 * Small biomnitruncatodecachoron (isogonal)/Small biomnistellatodecachoron (isotopic)
 * Great biomnitruncatodecachoron (isogonal)/Great biomnistellatodecachoron (isotopic)
 * Prismatic transitional biomnitruncatodecachoron (isogonal)/Prismatic transitional intersected biomnistellatodecachoron (isotopic)
 * Tetrahedral transitional biomnitruncatodecachoron (isogonal)/Tetrahedral transitional intersected biomnistellatodecachoron (isotopic)