genus c | 61, orientable |
Schläfli formula c | {6,6} |
V / F / E c | 120 / 120 / 360 |
notes | |
vertex, face multiplicity c | 1, 1 |
72, each with 10 edges 180, each with 4 edges 120, each with 6 edges 180, each with 4 edges 180, each with 4 edges | |
rotational symmetry group | S6, with 720 elements |
full symmetry group | 1440 elements. |
its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s6, (rs‑1)4, (rs‑1r)4, (rs‑2)4, s2rs‑1r‑2sr‑3s3r‑1 > |
C&D number c | R61.14 |
The statistics marked c are from the published work of Professor Marston Conder. |
It is self-dual.
List of regular maps in orientable genus 61.
Orientable | |
Non-orientable |