R71.15′

Statistics

genus c71, orientable
Schläfli formula c{9,9}
V / F / E c 56 / 56 / 252
notesreplete singular
vertex, face multiplicity c1, 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
72, each with 7 edges
28, each with 18 edges
168, each with 3 edges
36, each with 14 edges
rotational symmetry groupPSL(2,8), with 504 elements
full symmetry group1008 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, s‑9, (sr‑1sr‑1s)2, (sr‑3s)2, r‑9, r‑1sr‑1s‑3r‑1sr‑3  >
C&D number cR71.15′
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 R63.7.
Its 4-hole derivative is R15.1.

List of regular maps in orientable genus 71.


Other Regular Maps

General Index