genus c | 51, orientable |
Schläfli formula c | {4,8} |
V / F / E c | 100 / 200 / 400 |
notes | ![]() ![]() ![]() |
vertex, face multiplicity c | 1, 1 |
100, each with 8 edges | |
rotational symmetry group | 800 elements. |
full symmetry group | 800 elements. |
its presentation c | < r, s | r4, (rs)2, (rs‑1)4, s8, s‑1rs‑3rs‑1rs2r‑1s‑3, srs‑1r‑1srs‑1r‑2s‑1rsr‑1s‑1rs > |
C&D number c | C51.2 |
The statistics marked c are from the published work of Professor Marston Conder. |
List of regular maps in orientable genus 51.
Orientable | |
Non-orientable |
Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720