genus c | 40, orientable |
Schläfli formula c | {90,18} |
V / F / E c | 10 / 2 / 90 |
notes | |
vertex, face multiplicity c | 9, 90 |
18, each with 10 edges | |
rotational symmetry group | 180 elements. |
full symmetry group | 360 elements. |
its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, rs3rs‑1, r‑5s‑1r4s‑1r‑1, s18 > |
C&D number c | R40.16′ |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
It can be built by 2-splitting
List of regular maps in orientable genus 40.
Orientable | |
Non-orientable |