R51.14

Statistics

genus c51, orientable
Schläfli formula c{6,8}
V / F / E c 60 / 80 / 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
48, each with 10 edges
80, each with 6 edges
80, each with 6 edges
40, each with 12 edges
48, each with 10 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, (rs)2, (rt)2, (st)2, r6, (rs‑3)2, s8, s‑1rs‑1rs‑1r2s‑1rs‑1rs‑1  >
C&D number cR51.14
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R51.14′.

Its Petrie dual is R67.9′.

Its 3-hole derivative is R71.11′.

List of regular maps in orientable genus 51.


Other Regular Maps

General Index