R85.1

Statistics

genus c	85, orientable
Schläfli formula c	{3,8}
V / F / E c	504 / 1344 / 2016
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	96, each with 42 edges 504, each with 8 edges 336, each with 12 edges 192, each with 21 edges 336, each with 12 edges 504, each with 8 edges 504, each with 8 edges
rotational symmetry group	(C2 x C2) ⋊ (C3 ⋊ (PSL(3,2) ⋊ C2)), with 4032 elements
full symmetry group	8064 elements.
its presentation c	< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s8, s‑1r‑1s2rs‑3rs‑2rs‑1rs2r‑1s3r‑1s‑3rs‑1, srs‑2rs‑3rs‑3rs‑1rs‑3rs‑3rs‑2rs2  >
C&D number c	R85.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R85.1′.

List of regular maps in orientable genus 85.

Other Regular Maps

General Index