Hexateric symmetry

Hexateric symmetry, also known as hixic symmetry and notated as A5, is a 5D spherical Coxeter group. It is the symmetry group of the regular hexateron.

Convex polytopes with A5 symmetry

 * Hexateron (regular)
 * Rectified hexateron (isogonal)/Joined hexateron (isotopic)
 * Hexahexateron (isogonal)/Triangular-duotegmatic icosateron (isotopic)
 * Truncated hexateron (isogonal)/Pentakis hexateron (isotopic)
 * Bitruncated hexateron (isogonal)/Triangular-scalenic hexecontateron (isotopic)
 * Small rhombated hexateron (isogonal)/Triangular-pyramidal tegmatic hexecontateron (isotopic)
 * Small birhombihexahexateron (isogonal)/Disphenoidal tegmatic enneacontateron (isotopic)
 * Great rhombated hexateron (isogonal)/Triangular-pyramidal pyramidal hecatonicosateron (isotopic)
 * Great birhombihexahexateron (isogonal)/Disphenoidal pyramidal hecatonoctacontateron (isotopic)
 * Small prismated hexateron (isogonal)/Antitegmatonotched hexecontateron (isotopic)
 * Prismatotruncated hexateron (isogonal)/Notch-pyramidal hecatonoctacontateron (isotopic)
 * Prismatorhombated hexateron (isogonal)/Rhombiscalenic hecatonoctacontateron (isotopic)
 * Great prismated hexateron (isogonal)/Sphenoidal-pyramidal triacosihexecontateron (isotopic)
 * Small cellihexahexateron (isogonal)/Tetrahedral-antitegmatic triacontateron (isotopic)
 * Celliprismated hexateron (isogonal)/Triangular-antitegmatic pyramidal hecatonicosateron (isotopic)
 * Cellirhombihexahexateron (isogonal)/Anticupolanotched hecatonoctacontateron isotopic)
 * Celligreatorhombated hexateron (isogonal)/Deltopyramidal pyramidal triacosihexecontateron (isotopic)
 * Celliprismatotruncatohexahexateron (isogonal)/Rhombipyramidal pyramidal triacosihexecontateron (isotopic)
 * Great cellihexahexateron (isogonal)/Pentachoric heptacosicositeraon (isotopic)