16, each with 5 edges
20, each with 4 edges
| genus c | 5, orientable |
| Schläfli formula c | {5,5} |
| V / F / E c | 16 / 16 / 40 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 20, each with 4 edges 16, each with 5 edges 20, each with 4 edges | |
| rotational symmetry group | 80 elements. |
| full symmetry group | 160 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r‑5, s‑5, s‑1r‑1sr2sr‑1s‑1 > |
| C&D number c | R5.9 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
Its Petrie dual is
It can be 2-split to give
It is its own 2-hole derivative.
List of regular maps in orientable genus 5.
Its skeleton is Clebsch graph.
| Orientable | |
| Non-orientable |