genus c | 55, orientable |
Schläfli formula c | {12,6} |
V / F / E c | 72 / 36 / 216 |
notes | |
vertex, face multiplicity c | 1, 1 |
72, each with 6 edges | |
rotational symmetry group | 432 elements. |
full symmetry group | 864 elements. |
its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, s6, rsr‑1sr‑1sr2s‑1r, r‑1s2r‑1s3r‑1s2r‑1s, rsr‑2s3r3s‑2, r‑3sr‑1s2r2s‑1r‑2 > |
C&D number c | R55.24′ |
The statistics marked c are from the published work of Professor Marston Conder. |
List of regular maps in orientable genus 55.
Orientable | |
Non-orientable |