genus c | 55, orientable |
Schläfli formula c | {4,12} |
V / F / E c | 54 / 162 / 324 |
notes | |
vertex, face multiplicity c | 1, 1 |
108, each with 6 edges | |
rotational symmetry group | 648 elements. |
full symmetry group | 1296 elements. |
its presentation c | < r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s‑1r‑1srs‑1r2s‑1rsr‑1s‑1, srs‑3r2s4r‑1 > |
C&D number c | R55.9 |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
List of regular maps in orientable genus 55.
Orientable | |
Non-orientable |