R71.15

Statistics

genus c	71, orientable
Schläfli formula c	{9,9}
V / F / E c	56 / 56 / 252
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	28, each with 18 edges 72, each with 7 edges 36, each with 14 edges 56, each with 9 edges 36, each with 14 edges 72, each with 7 edges 84, each with 6 edges
rotational symmetry group	PSL(2,8), with 504 elements
full symmetry group	1008 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r‑9, (rs‑1rs‑1r)2, (rs‑3r)2, s‑9, s‑1rs‑1r‑3s‑1rs‑3  >
C&D number c	R71.15
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R71.15′.

Its 2-hole derivative is R63.6.
Its 4-hole derivative is R63.5.

List of regular maps in orientable genus 71.

Other Regular Maps

General Index