genus c | 91, orientable |
Schläfli formula c | {8,8} |
V / F / E c | 90 / 90 / 360 |
notes | |
vertex, face multiplicity c | 1, 1 |
72, each with 10 edges 144, each with 5 edges 90, each with 8 edges 72, each with 10 edges 120, each with 6 edges 144, each with 5 edges 72, each with 10 edges | |
rotational symmetry group | M10, with 720 elements |
full symmetry group | 1440 elements. |
its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r8, s8, s‑1rs‑1r3s‑1rs‑2, sr2s‑1r2s2r‑1s > |
C&D number c | R91.39 |
The statistics marked c are from the published work of Professor Marston Conder. |
It is self-dual.
Its 3-hole derivative is
List of regular maps in orientable genus 91.
Orientable | |
Non-orientable |