Chiral pentachoric symmetry

Chiral pentachoric symmetry, also known as kipennic symmetry and notated as  A4+, is a 4D spherical symmetry group. It is the symmetry group of the snub pentachoron.

Convex polytopes with A4+ symmetry

 * Pentachoron (regular)
 * Rectified pentachoron (isogonal)/Joined pentachoron (isotopic)
 * Truncated pentachoron (isogonal)/Tetrakis pentachoron (isotopic)
 * Pentapentachoron (isogonal)/Disphenoidal triacontachoron (isotopic)
 * Small rhombated pentachoron (isogonal)/Notched triacontachoron (isotopic)
 * Great rhombated pentachoron (isogonal)/Sphenoidal hexecontachoron (isotopic)
 * Small disprismatopentapentachoron (isogonal)/Triangular-antitegmatic icosachoron (isotopic)
 * Prismatorhombated pentachoron (isogonal)/Rhombipyramidal hexecontachoron (isotopic)
 * Snub pentachoron (isogonal)/Enneahedral hexecontachoron (isotopic)