Dodecagonal symmetry
(Redirected from I2(12))
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| Dodecagonal symmetry | |
|---|---|
| Rank | 2 |
| Space | Spherical |
| Order | 24 |
| Info | |
| Coxeter diagram |   |
| Elements | |
| Axes | 12 × A1 |
| Related polytopes | |
| Omnitruncate | Didodecagon |
Dodecagonal symmetry, also known as doggic symmetry and notated as I2(12), is a 2D spherical Coxeter group. It is the symmetry group of the dodecagon, with 12 rotation and 12 reflection elements.
Subgroups[edit | edit source]
- Chiral dodecagonal symmetry (maximal)
- Hexagonal symmetry (maximal)
- Chiral hexagonal symmetry
- Square symmetry (maximal)
- Chiral square symmetry
- Triangular symmetry
- Chiral triangular symmetry
- Rectangular symmetry
- Inversion symmetry
- Reflection symmetry
- Identity symmetry
Convex polytopes with I2(12) symmetry[edit | edit source]
- Dodecagon (regular)
- Didodecagon (isogonal)/Dodecambus (isotopic)