R52.1

Statistics

genus c	52, orientable
Schläfli formula c	{3,8}
V / F / E c	306 / 816 / 1224
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons 4th-order holes 4th-order Petrie polygons	153, each with 16 edges 306, each with 8 edges 136, each with 18 edges 306, each with 8 edges 136, each with 18 edges 272, each with 9 edges 136, each with 18 edges
rotational symmetry group	PSL(2,17), with 2448 elements
full symmetry group	4896 elements.
its presentation c	< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s8, s‑1r‑1s2rs‑3rs‑2r‑1s2r‑1s‑2rs‑3  >
C&D number c	R52.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R52.1′.

List of regular maps in orientable genus 52.

Other Regular Maps

General Index