R85.7

Statistics

genus c85, orientable
Schläfli formula c{4,8}
V / F / E c 168 / 336 / 672
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
48, each with 28 edges
224, each with 6 edges
168, each with 8 edges
96, each with 14 edges
112, each with 12 edges
168, each with 8 edges
168, each with 8 edges
rotational symmetry groupPSL(3,2) ⋊ D8, with 1344 elements
full symmetry group2688 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s8, (rs‑1)6, srs‑2rs‑1r2s3r‑1sr‑1, s‑2r‑1srs‑3r2s3r‑1s‑1rs‑2  >
C&D number cR85.7
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R85.7′.

List of regular maps in orientable genus 85.


Other Regular Maps

General Index