genus c | 57, orientable |
Schläfli formula c | {40,120} |
V / F / E c | 2 / 6 / 120 |
notes | |
vertex, face multiplicity c | 120, 20 |
20, each with 12 edges | |
rotational symmetry group | 240 elements. |
full symmetry group | 480 elements. |
its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, sr3sr‑1, s5rs‑5rs2, r‑1sr‑1sr‑10s6 > |
C&D number c | R57.66 |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
List of regular maps in orientable genus 57.
Orientable | |
Non-orientable |