| genus c | 81, orientable |
| Schläfli formula c | {36,4} |
| V / F / E c | 180 / 20 / 360 |
| notes |
|
| vertex, face multiplicity c | 1, 9 |
| 4, each with 180 edges | |
| rotational symmetry group | 720 elements. |
| full symmetry group | 720 elements. |
| its presentation c | < r, s | s4, (sr)2, (sr‑3)2, r‑1sr‑1sr‑1s2rs‑1r‑1sr‑1, r36 > |
| C&D number c | C81.11′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It can be built by 9-splitting
It is the result of rectifying
List of regular maps in orientable genus 81.
| Orientable | |
| Non-orientable |