S3:{12,3}

Statistics

genus c	3, orientable
Schläfli formula c	{12,3}
V / F / E c	16 / 4 / 24
notes
vertex, face multiplicity c	1, 4
Petrie polygons	6, each with 8 edges
antipodal sets	8 of ( 2v ), 12 of ( 2e )
rotational symmetry group	C4↑A4, with 48 elements
full symmetry group	96 elements.
its presentation c	< r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, rsr‑2sr3 >
C&D number c	R3.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S3:{3,12}.

Its Petrie dual is S2:{8,3}.

It can be rectified to give rectification of S3:{12,3}.

List of regular maps in orientable genus 3.

Underlying Graph

Its skeleton is Möbius-Kantor graph.

Other Regular Maps

General Index

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