Decachoric symmetry
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| Decachoric symmetry | |
|---|---|
| Rank | 4 |
| Space | Spherical |
| Order | 240 |
Decachoric symmetry, also known as decaic symmetry and notated as A4×2, is a 4D spherical symmetry group. It is the symmetry group of the decachoron.
Convex polytopes with A4×2 symmetry[edit | edit source]
- Decachoron (noble)/Bidecachoron (noble)
- Rectified decachoron (isogonal)/Joined bidecachoron (isotopic)
- Truncated decachoron (isogonal)/Tetrakis bidecachoron (isotopic)
- Small prismatodecachoron (isogonal)/Triangular-antitegmatic icosachoron (isotopic)
- Rectified small prismatodecachoron (isogonal)/Joined triangular-antitegmatic icosachoron (isotopic)
- Truncated small prismatodecachoron (isogonal)/Hexakis triangular-antitegmatic icosachoron (isotopic)
- Great prismatodecachoron (isogonal)/Disphenoidal hecatonicosachoron (isotopic)
- Biambodecachoron (isogonal)/Bijungatodecachoron (isotopic)
- Bitruncatodecachoron (isogonal)/Biapiculatodecachoron (isotopic)
- Bimesotruncatodecachoron (isogonal)/Bimesoapiculatodecachoron (isotopic)
- Small birhombatodecachoron (isogonal)/Small biorthodecachoron (isotopic)
- Medial birhombatodecachoron (isogonal)/Medial biorthodecachoron (isotopic)
- Great birhombatodecachoron (isogonal)/Great biorthodecachoron (isotopic)
- Small bicantitruncatodecachoron (isogonal)/Small bimetadecachoron (isotopic)
- Medial bicantitruncatodecachoron (isogonal)/Medial bimetadecachoron (isotopic)
- Great bicantitruncatodecachoron (isogonal)/Great bimetadecachoron (isotopic)
- Transitional bicantitruncatodecachoron (isogonal)/Transitional bimetadecachoron (isotopic)
- Biprismatodecachoron (isogonal)/Bicrystallodecachoron (isotopic)
- Small biprismatorhombatodecachoron (isogonal)/Small bicrystallorthodecachoron (isotopic)
- Medial biprismatorhombatodecachoron (isogonal)/Medial bicrystallorthodecachoron (isotopic)
- Great biprismatorhombatodecachoron (isogonal)/Great bicrystallorthodecachoron (isotopic)
- Transitional biprismatorhombatodecachoron (isogonal)/Transitional bicrystallorthodecachoron (isotopic)
- Small biomnitruncatodecachoron (isogonal)/Small biomnistellatodecachoron (isotopic)
- Great biomnitruncatodecachoron (isogonal)/Great biomnistellatodecachoron (isotopic)
- Prismatic transitional biomnitruncatodecachoron (isogonal)/Prismatic transitional intersected biomnistellatodecachoron (isotopic)
- Tetrahedral transitional biomnitruncatodecachoron (isogonal)/Tetrahedral transitional intersected biomnistellatodecachoron (isotopic)