genus c | 16, orientable |
Schläfli formula c | {3,8} |
V / F / E c | 90 / 240 / 360 |
notes | |
vertex, face multiplicity c | 1, 1 |
72, each with 10 edges 90, each with 8 edges 72, each with 10 edges 144, each with 5 edges 90, each with 8 edges 72, each with 10 edges 72, each with 10 edges | |
rotational symmetry group | A6 ⋊ C2, with 720 elements |
full symmetry group | 1440 elements. |
its presentation c | < r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s8, s‑1rs‑2rs‑2r‑2s‑2rs‑2rs‑1, s3rs‑3rs‑2r‑1s2r‑1s3r‑1s‑2rs > |
C&D number c | R16.1 |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
Its 3-hole derivative is
List of regular maps in orientable genus 16.
Orientable | |
Non-orientable |