R85.3

Statistics

genus c85, orientable
Schläfli formula c{3,20}
V / F / E c 72 / 480 / 720
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
6th-order holes
6th-order Petrie polygons
7th-order holes
7th-order Petrie polygons
8th-order holes
8th-order Petrie polygons
9th-order holes
9th-order Petrie polygons
10th-order holes
10th-order Petrie polygons
48, each with 30 edges
72, each with 20 edges
120, each with 12 edges
96, each with 15 edges
240, each with 6 edges
240, each with 6 edges
144, each with 10 edges
240, each with 6 edges
240, each with 6 edges
120, each with 12 edges
72, each with 20 edges
96, each with 15 edges
240, each with 6 edges
144, each with 10 edges
240, each with 6 edges
480, each with 3 edges
48, each with 30 edges
360, each with 4 edges
360, each with 4 edges
rotational symmetry groupA5 x S4, with 1440 elements
full symmetry group2880 elements.
its presentation c< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, srs‑4r‑1sr‑1s‑4rs2, s20  >
C&D number cR85.3
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R85.3′.

It is its own 9-hole derivative.

List of regular maps in orientable genus 85.


Other Regular Maps

General Index