R36.10

Statistics

genus c	36, orientable
Schläfli formula c	{6,8}
V / F / E c	42 / 56 / 168
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons 4th-order holes 4th-order Petrie polygons	56, each with 6 edges 112, each with 3 edges 56, each with 6 edges 42, each with 8 edges 42, each with 8 edges 84, each with 4 edges 84, each with 4 edges
rotational symmetry group	PSL(3,2) ⋊ C2, with 336 elements
full symmetry group	672 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, (s‑1r)3, s8, (rs‑3r)2  >
C&D number c	R36.10
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R36.10′.

Its 3-hole derivative is R43.15.

List of regular maps in orientable genus 36.

Other Regular Maps

General Index