R85.41

Statistics

genus c85, orientable
Schläfli formula c{8,8}
V / F / E c 84 / 84 / 336
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
112, each with 6 edges
48, each with 14 edges
84, each with 8 edges
112, each with 6 edges
168, each with 4 edges
112, each with 6 edges
112, each with 6 edges
rotational symmetry group(PSL(3,2) ⋊ C2) x C2, with 672 elements
full symmetry group1344 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r8, s8, s‑1r‑1sr3sr‑1s‑1r, s‑1r‑1s2r2s2r‑1s‑1  >
C&D number cR85.41
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is R71.5.

Its 3-hole derivative is R71.4.

List of regular maps in orientable genus 85.


Other Regular Maps

General Index