R64.9

Statistics

genus c64, orientable
Schläfli formula c{5,8}
V / F / E c 90 / 144 / 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
180, each with 4 edges
72, each with 10 edges
72, each with 10 edges
180, each with 4 edges
72, each with 10 edges
90, each with 8 edges
90, each with 8 edges
rotational symmetry groupA6 x C2, with 720 elements
full symmetry group1440 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r‑5, s‑1r‑1sr2sr‑1s‑1, s8  >
C&D number cR64.9
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R64.9′.

Its Petrie dual is N92.3.

Its 3-hole derivative is R46.6.

List of regular maps in orientable genus 64.


Other Regular Maps

General Index