R77.16′

Statistics

genus c77, orientable
Schläfli formula c{12,10}
V / F / E c 48 / 40 / 240
notesreplete
vertex, face multiplicity c1, 2
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
5th-order holes
5th-order Petrie polygons
60, each with 8 edges
60, each with 8 edges
80, each with 6 edges
60, each with 8 edges
40, each with 12 edges
80, each with 6 edges
60, each with 8 edges
120, each with 4 edges
120, each with 4 edges
rotational symmetry group480 elements.
full symmetry group960 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, s10, r‑4s2rs‑1r‑1s, rsr‑1s4rs‑3r  >
C&D number cR77.16′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R77.16.

Its Petrie dual is R67.10.

Its 3-hole derivative is R67.10.

List of regular maps in orientable genus 77.


Other Regular Maps

General Index