Hecatonicosachoric symmetry

Hecatonicosachoric symmetry, also known as hexacosichoric symmetry, hyic symmetry, and notated H4, is a 4D spherical Coxeter group. It is the symmetry group of the regular hecatonicosachoron and hexacosichoron.

Convex polytopes with H4 symmetry

 * Hecatonicosachoron (regular)/Hexacosichoron (regular)
 * Rectified hecatonicosachoron (isogonal)/Joined hecatonicosachoron (isotopic)
 * Rectified hexacosichoron (isogonal)/Joined hexacosichoron (isotopic)
 * Truncated hecatonicosachoron (isogonal)/Tetrakis hexacosichoron (isotopic)
 * Truncated hexacosichoron (isogonal)/Dodecakis hecatonicosachoron (isotopic)
 * Hexacosihecatonicosachoron (isogonal)/Disphenoidal trischiliahexacosichoron (isotopic)
 * Small rhombated hecatonicosachoron (isogonal)/Great notched trischiliahexacosichoron (isotopic)
 * Small rhombated hexacosichoron (isogonal)/Small notched trischiliahexacosichoron (isotopic)
 * Great rhombated hecatonicosachoron (isogonal)/Great sphenoidal heptachiliadiacosichoron (isotopic)
 * Great rhombated hexacosichoron (isogonal)/Small sphenoidal heptachiliadiacosichoron (isotopic)
 * Small disprismatohexacosihecatonicosachoron (isogonal)/Triangular-antitegmatic dischiliatetracosichoron (isotopic)
 * Prismatorhombated hecatonicosachoron (isogonal)/Deltopyramidal heptachiliadiacosichoron (isotopic)
 * Prismatorhombated hexacosichoron (isogonal)/Rhombipyramidal heptachiliadiacosichoron (isotopic)
 * Great disprismatohexacosihecatonicosachoron (isogonal)/Tetrahedral myriatetrachiliatetracosichoron (isotopic)