genus c | 49, orientable |
Schläfli formula c | {5,6} |
V / F / E c | 120 / 144 / 360 |
notes | |
vertex, face multiplicity c | 1, 1 |
120, each with 6 edges 120, each with 6 edges 180, each with 4 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, r‑5, s6, srs‑1r‑1sr2sr‑1s‑1rs, (rs‑1)6, rs‑3rs‑1rs2r‑1s‑2 > |
C&D number c | R49.33 |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
List of regular maps in orientable genus 49.
Orientable | |
Non-orientable |