R91.37

Statistics

genus c91, orientable
Schläfli formula c{8,8}
V / F / E c 90 / 90 / 360
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
90, each with 8 edges
180, each with 4 edges
120, each with 6 edges
180, each with 4 edges
72, each with 10 edges
240, each with 3 edges
120, each with 6 edges
rotational symmetry groupM10, with 720 elements
full symmetry group1440 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r8, (rs‑1)4, s8, (r3s‑1)3, (rs‑3r2)2, s‑2r3s‑1r‑2s3r‑1s‑1r  >
C&D number cR91.37
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its 3-hole derivative is R46.4.

List of regular maps in orientable genus 91.


Other Regular Maps

General Index