genus c | 55, orientable |
Schläfli formula c | {3,12} |
V / F / E c | 108 / 432 / 648 |
notes | |
vertex, face multiplicity c | 2, 1 |
18, each with 72 edges | |
rotational symmetry group | 1296 elements. |
full symmetry group | 2592 elements. |
its presentation c | < r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, (rs‑5)2, s‑1rs‑2r‑1s2r‑1s2rs‑2rs‑2rs‑1rs2r‑1s2r‑1s‑2rs‑2rs‑2rs‑2 > |
C&D number c | R55.1 |
The statistics marked c are from the published work of Professor Marston Conder. |
List of regular maps in orientable genus 55.
Orientable | |
Non-orientable |