R41.19′

Statistics

genus c41, orientable
Schläfli formula c{6,5}
V / F / E c 120 / 100 / 300
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
30, each with 20 edges
150, each with 4 edges
20, each with 30 edges
rotational symmetry groupC5 ⋊ S5, with 600 elements
full symmetry group1200 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, s‑5, r6, (sr‑1)4, s2r‑3sr‑1s‑2r3s‑1r  >
C&D number cR41.19′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R41.19.

Its Petrie dual is R76.8′.

Its 2-hole derivative is R16.2.

List of regular maps in orientable genus 41.


Other Regular Maps

General Index