R55.9

Statistics

genus c	55, orientable
Schläfli formula c	{4,12}
V / F / E c	54 / 162 / 324
notes
vertex, face multiplicity c	1, 1
Petrie polygons	108, each with 6 edges
rotational symmetry group	648 elements.
full symmetry group	1296 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s‑1r‑1srs‑1r2s‑1rsr‑1s‑1, srs‑3r2s4r‑1  >
C&D number c	R55.9
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R55.9′.

Its Petrie dual is R82.33.

List of regular maps in orientable genus 55.

Other Regular Maps

General Index

Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720