genus c6, orientable
Schläfli formula c{6,8}
V / F / E c 6 / 8 / 24
notesreplete is not a polyhedral map
vertex, face multiplicity c2, 2
Petrie polygons
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4, each with 12 edges
6, each with 8 edges
6, each with 8 edges
16, each with 3 edges
4, each with 12 edges
24, each with 2 edges
rotational symmetry group48 elements.
full symmetry group96 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, (rs‑1r)2, s‑1r‑3s‑3  >
C&D number cR6.8
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{8,6}12.

Its Petrie dual is N16.8′.

It can be 5-split to give R42.5′.
It can be 7-split to give R60.5′.
It can be 11-split to give R96.8′.

Its 3-hole derivative is S2:{3,8}.

List of regular maps in orientable genus 6.

Other Regular Maps

General Index