genus c | 85, orientable |
Schläfli formula c | {3,20} |
V / F / E c | 72 / 480 / 720 |
notes | |
vertex, face multiplicity c | 1, 1 |
48, each with 30 edges 72, each with 20 edges 120, each with 12 edges 96, each with 15 edges 240, each with 6 edges 240, each with 6 edges 144, each with 10 edges 240, each with 6 edges 240, each with 6 edges 120, each with 12 edges 72, each with 20 edges 96, each with 15 edges 240, each with 6 edges 144, each with 10 edges 240, each with 6 edges 480, each with 3 edges 48, each with 30 edges 360, each with 4 edges 360, each with 4 edges | |
rotational symmetry group | A5 x S4, with 1440 elements |
full symmetry group | 2880 elements. |
its presentation c | < r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, srs‑4r‑1sr‑1s‑4rs2, s20 > |
C&D number c | R85.3 |
The statistics marked c are from the published work of Professor Marston Conder. |
It is its own 9-hole derivative.
List of regular maps in orientable genus 85.
Orientable | |
Non-orientable |