genus c | 56, orientable |
Schläfli formula c | {50,25} |
V / F / E c | 10 / 5 / 125 |
notes | |
vertex, face multiplicity c | 5, 25 |
25, each with 10 edges | |
rotational symmetry group | 250 elements. |
full symmetry group | 500 elements. |
its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, rsr‑1sr2, rs6rs‑4, r‑1s4r‑1s12r‑1s4r‑1s > |
C&D number c | R56.18′ |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
List of regular maps in orientable genus 56.
Orientable | |
Non-orientable |