Enneagonal symmetry
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| Enneagonal symmetry | |
|---|---|
| Rank | 2 |
| Space | Spherical |
| Order | 18 |
| Info | |
| Coxeter diagram |   |
| Elements | |
| Axes | 9 × A1×I |
| Related polytopes | |
| Omnitruncate | Dienneagon |
Enneagonal symmetry, also known as ennic symmetry and notated as I2(9), is a 2D spherical Coxeter group. It is the symmetry group of the enneagon, with 9 rotation and 9 reflection elements.
Subgroups[edit | edit source]
- Chiral enneagonal symmetry (maximal)
- Triangular symmetry (maximal)
- Chiral triangular symmetry
- Reflection symmetry
- Identity symmetry
Convex polytopes with I2(9) symmetry[edit | edit source]
- Enneagon (regular)
- Dienneagon (isogonal)/Enneambus (isotopic)