R91.39

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
72, each with 10 edges
144, each with 5 edges
90, each with 8 edges
72, each with 10 edges
120, each with 6 edges
144, each with 5 edges
72, each with 10 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, s8, s‑1rs‑1r3s‑1rs‑2, sr2s‑1r2s2r‑1s  >
C&D number cR91.39
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 R100.27′.

List of regular maps in orientable genus 91.


Other Regular Maps

General Index