S6:{8,6}₂₄

Statistics

genus c	6, orientable
Schläfli formula c	{8,6}
V / F / E c	8 / 6 / 24
notes
vertex, face multiplicity c	3, 4
Petrie polygons holes 2nd-order Petrie polygons 3rd-order Petrie polygons	2, each with 24 edges 24, each with 2 edges 8, each with 6 edges 6, each with 8 edges
rotational symmetry group	48 elements.
full symmetry group	96 elements.
its presentation c	< r, s, t | t2, (sr)2, (sr‑1)2, (st)2, (rt)2, s6, r8  >
C&D number c	R6.7′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{6,8}₂₄.

Its Petrie dual is S8{24,6}.

It can be 3-split to give R22.8′.
It can be 5-split to give R38.3′.
It can be 7-split to give R54.4′.
It can be 9-split to give R70.6′.
It can be 11-split to give R86.6′.

It is a member of series ε°.

List of regular maps in orientable genus 6.

Other Regular Maps

General Index