R67.10′

Statistics

genus c67, orientable
Schläfli formula c{10,8}
V / F / E c 60 / 48 / 240
notesreplete
vertex, face multiplicity c2, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
80, each with 6 edges
80, each with 6 edges
80, each with 6 edges
48, each with 10 edges
80, each with 6 edges
240, each with 2 edges
240, each with 2 edges
rotational symmetry group(SL(2,5) ⋊ C2) ⋊ C2, with 480 elements
full symmetry group960 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, s8, (sr‑1s2)2, r10, r2s‑1rs3r2s‑1rs‑1, r4s3r4s‑1  >
C&D number cR67.10′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R67.10.

Its Petrie dual is R71.11′.

It is its own 3-hole derivative.

List of regular maps in orientable genus 67.


Other Regular Maps

General Index