Chiral pentachoric symmetry
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Chiral pentachoric symmetry | |
---|---|
Rank | 4 |
Space | Spherical |
Order | 60 |
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[edit | edit source]
- 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)