genus c | 55, orientable |
Schläfli formula c | {28,4} |
V / F / E c | 126 / 18 / 252 |
notes | |
vertex, face multiplicity c | 1, 7 |
12, each with 42 edges | |
rotational symmetry group | 504 elements. |
full symmetry group | 1008 elements. |
its presentation c | < r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑3)2, (sr‑1)6, sr‑1s‑1r5sr‑1s2r‑5sr2 > |
C&D number c | R55.12′ |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
It can be built by 7-splitting
List of regular maps in orientable genus 55.
Orientable | |
Non-orientable |