Decafold dodecaswirlchoric symmetry
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| Decafold dodecaswirlchoric symmetry | |
|---|---|
| Rank | 4 |
| Space | Spherical |
| Order | 1200 |
Decafold dodecaswirlchoric symmetry, also known as 5-swirldoic symmetry and notated H3●I2(10), H3+×20, or [5,3:5], is a 4D spherical symmetry group. It is the symmetry group of the uniform small swirlprism.
Subgroups[edit | edit source]
![[icon]](/wiki/File:Excavated_expanded_cuboctahedron.png){kind=small} | This section is empty. You can help by adding to it. |
Convex polytopes with H3●I2(10) symmetry[edit | edit source]
- Swirlprismatodiminished rectified hexacosichoron (scaliform)
- Bigyroprismatic transitional didecafold icosidodecaswirlchoron (isogonal)/Bigyrotegmatic transitional intersected rhombitriacontaswirlic hexacosichoron (isotopic)
- Bi-hecatonicosadiminished truncated hexacosichoron (isogonal)/Bi-hecatonicosastellated dodecakis hecatonicosachoron (isotopic)
- Partially-rectified small swirlprism (isogonal)/Partially-joined small swirlprism (isotopic)
Nonconvex uniform/scaliform polytopes with H3●I2(10) symmetry[edit | edit source]
- Small swirlprism (uniform)
- Great swirlprism (uniform)
- Swirlprismatic hecatonicosihexacosichoron (uniform)
- Swirlprismatic hexacosihecatonicosachoron (uniform)
- Small pyramidic swirlprism (scaliform)
- Great pyramidic swirlprism (scaliform)
- Small swirlprismatic pyrihecatonicosachoron (scaliform)
- Great swirlprismatic pyrihecatonicosachoron (scaliform)
- Small swirlprismatic pyrihecatonicosihexacosichoron (scaliform)
- Great swirlprismatic pyrihecatonicosihexacosichoron (scaliform)
- Small swirlprismatic pyrihexacosidishecatonicosachoron (scaliform)
- Great swirlprismatic pyrihexacosidishecatonicosachoron (scaliform)
- Small swirlprismatic pyridishexacosihecatonicosachoron (scaliform)
- Great swirlprismatic pyridishexacosihecatonicosachoron (scaliform)
- Swirlprismatoreplenished rectified grand hexacosichoron (scaliform)
- Small swirlprismatic hexacositrishecatonicosicupolidishecatonicosachoron (scaliform)
- Great swirlprismatic hexacositrishecatonicosicupolidishecatonicosachoron (scaliform)
External links[edit | edit source]
- Bowers, Jonathan. "Symmetries of Four Dimensions - Part 3" (#5-swirldoic).