R55.8

Statistics

genus c55, orientable
Schläfli formula c{4,10}
V / F / E c 72 / 180 / 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
5th-order holes
5th-order Petrie polygons
72, each with 10 edges
90, each with 8 edges
180, each with 4 edges
240, each with 3 edges
90, each with 8 edges
72, each with 10 edges
72, each with 10 edges
144, each with 5 edges
72, each with 10 edges
rotational symmetry groupA6 ⋊ C2, with 720 elements
full symmetry group1440 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (sr‑1s)3, s10, s‑1r‑1s2rs‑1rs2r‑1s‑2  >
C&D number cR55.8
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R55.8′.

Its 3-hole derivative is R25.1.

List of regular maps in orientable genus 55.


Other Regular Maps

General Index