genus c | 73, orientable |
Schläfli formula c | {3,10} |
V / F / E c | 216 / 720 / 1080 |
notes | ![]() ![]() ![]() |
vertex, face multiplicity c | 1, 1 |
90, each with 24 edges 216, each with 10 edges 72, each with 30 edges 180, each with 12 edges 72, each with 30 edges 270, each with 8 edges 180, each with 12 edges 144, each with 15 edges 72, each with 30 edges | |
rotational symmetry group | (C3 . A6) ⋊ C2, with 2160 elements |
full symmetry group | 2160 elements. |
its presentation c | < r, s | r‑3, (rs)2, s10, s2rs‑2rs‑4r‑1s4r‑1s3r‑1s, srs‑3rs‑3rs‑1rs‑4rs‑2rs2 > |
C&D number c | C73.1 |
The statistics marked c are from the published work of Professor Marston Conder. |
List of regular maps in orientable genus 73.
Orientable | |
Non-orientable |