genus c | 81, orientable |
Schläfli formula c | {8,24} |
V / F / E c | 20 / 60 / 240 |
notes | ![]() ![]() |
vertex, face multiplicity c | 6, 2 |
8, each with 60 edges | |
rotational symmetry group | 480 elements. |
full symmetry group | 480 elements. |
its presentation c | < r, s | (rs)2, r8, (rs‑1r2)2, (rs‑3)2, rs‑2rs‑1r2s‑1rs‑1rs‑1, s‑2r‑1srs‑2rsr‑1s‑6 > |
C&D number c | C81.35 |
The statistics marked c are from the published work of Professor Marston Conder. |
List of regular maps in orientable genus 81.
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