R10.10′

Statistics

genus c10, orientable
Schläfli formula c{12,4}
V / F / E c 27 / 9 / 54
notesreplete
vertex, face multiplicity c1, 3
Petrie polygons
2nd-order Petrie polygons
18, each with 6 edges
18, each with 6 edges
rotational symmetry group108 elements.
full symmetry group216 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (r‑1s)3, rsr‑3sr4  >
C&D number cR10.10′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R10.10.

Its Petrie dual is C11:{6,4}.

List of regular maps in orientable genus 10.


Other Regular Maps

General Index