Ixoic symmetry
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| Ixoic symmetry | |
|---|---|
| Rank | 4 |
| Space | Spherical |
| Order | 2880 |
Ixoic symmetry, notated B3●H3, or H4+×2/5, (H4+/5)×2, or 5[[3⁺,4,3⁺]], is a 4D spherical symmetry group. It is the swirl product of the icosahedral symmetry and octahedral symmetry groups.
Subgroups[edit | edit source]
![[icon]](/wiki/File:Thah2.png){kind=small} | This section needs expansion. You can help by adding to it. |
Convex polytopes with B3●H3 symmetry[edit | edit source]
- Antipodial omnisnub bitetrahedral diacositetracontachoron (isogonal)/Tetradecahedral dischiliaoctacosioctacontachoron (isotopic)
- Antiwedged bitetratetrahedral diacositetracontachoron (isogonal)/Icosidihedral enneacosihexecontachoron (isotopic)
- Biambotruncatotetrahedral diacositetracontachoron (isogonal)/Enneahedral chiliatetracositetracontachoron (isotopic)
- Bitetrahedral diacositetracontachoron (isogonal)/Ditruncated-tetrahedral diacositetracontachoron (isotopic)
- Bitruncatotetrahedral diacositetracontachoron (isogonal)/Elongatotribipyramidal chiliatetracositetracontachoron (isotopic)
- Disphenoidal omnisnub bitetrahedral diacositetracontachoron (isogonal)/Tridecahedral dischiliaoctacosioctacontachoron (isotopic)
- Great biambotetrahedral diacositetracontachoron (isogonal)/Tetradecahedral chiliatetracositetracontachoron (isotopic)
- Great bitetratetrahedral diacositetracontachoron (isogonal)/Tridecahedral enneacosihexecontachoron (isotopic)
- Medial bitetratetrahedral diacositetracontachoron (isogonal)/Medial pentadecahedral tetracosioctacontachoron (isotopic)
- Omnisnub tetrahedral hecatonicosachoron (isogonal)/Small tridecahedral chiliatetracositetracontachoron (isotopic)
- Small biambotetrahedral diacositetracontachoron (isogonal)/Tridecahedral chiliatetracositetracontachoron (isotopic)
- Small bitetratetrahedral diacositetracontachoron (isogonal)/Small pentadecahedral tetracosioctacontachoron (isotopic)
- Snub bitetrahedral diacositetracontachoron (isogonal)/Dipentaditritridodecahedral heptacosicosachoron (isotopic)
- Transitional biambotetrahedral diacositetracontachoron (isogonal)/Augmentotriprismatic chiliatetracositetracontachoron (isotopic)
External links[edit | edit source]
- Bowers, Jonathan. "Symmetries of Four Dimensions" (#Ixoic).