genus c | 55, orientable |
Schläfli formula c | {6,12} |
V / F / E c | 36 / 72 / 216 |
notes | |
vertex, face multiplicity c | 2, 2 |
18, each with 24 edges | |
rotational symmetry group | 432 elements. |
full symmetry group | 864 elements. |
its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r6, (rs‑1r)2, s‑2r‑3s‑4, srs‑1r‑1sr‑1s2rs‑1r‑2s‑1rs2r‑1s2r‑1s > |
C&D number c | R55.25 |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
List of regular maps in orientable genus 55.
Orientable | |
Non-orientable |