R67.9′

Statistics

genus c67, orientable
Schläfli formula c{10,8}
V / F / E c 60 / 48 / 240
notesreplete
vertex, face multiplicity c2, 2
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
40, each with 12 edges
240, each with 2 edges
240, each with 2 edges
rotational symmetry group480 elements.
full symmetry group960 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, s8, (sr‑1s2)2, (sr‑4)2, r10, r2s‑1rs3r2s‑1rs‑1  >
C&D number cR67.9′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R67.9.

Its Petrie dual is R51.14.

It can be built by 2-splitting R22.7.

List of regular maps in orientable genus 67.


Other Regular Maps

General Index