R73.78

Statistics

genus c73, orientable
Schläfli formula c{10,10}
V / F / E c 48 / 48 / 240
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
5th-order holes
5th-order Petrie polygons
80, each with 6 edges
40, each with 12 edges
24, each with 20 edges
80, each with 6 edges
48, each with 10 edges
24, each with 20 edges
40, each with 12 edges
120, each with 4 edges
120, each with 4 edges
rotational symmetry group(SL(2,5) ⋊ C2) ⋊ C2, with 480 elements
full symmetry group960 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r10, s10, r2s‑1r4sr‑2s2  >
C&D number cR73.78
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is R57.16.

Its 3-hole derivative is R57.16.

List of regular maps in orientable genus 73.


Other Regular Maps

General Index