S8{24,6}

Statistics

genus c	8, orientable
Schläfli formula c	{24,6}
V / F / E c	8 / 2 / 24
notes
vertex, face multiplicity c	3, 24
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes	6 Hamiltonian, each with 8 edges 8 double, each with 6 edges 24, each with 2 edges 6 Hamiltonian, each with 8 edges
rotational symmetry group	48 elements.
full symmetry group	96 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, s6, r‑1s3r‑1s, r4s2r4  >
C&D number c	R8.6′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S8:{6,24}.

Its Petrie dual is S6:{8,6}₂₄.

It can be 5-split to give R40.8′.
It can be 7-split to give R56.8′.
It can be 11-split to give R88.6′.

It is a member of series q.

List of regular maps in orientable genus 8.

Other Regular Maps

General Index

The image on this page is copyright © 2010 N. Wedd