genus c3, orientable
Schläfli formula c{4,6}
V / F / E c 8 / 12 / 24
notesreplete is not a polyhedral map permutes its vertices evenly
vertex, face multiplicity c2, 1
Petrie polygons
2nd-order Petrie polygons
3rd-order holes
8, each with 6 edges
12, each with 4 edges
8, each with 6 edges
24, each with 2 edges
antipodal sets4 of ( 2v ), 6 of ( 2f ), 12 of ( 2e )
rotational symmetry group48 elements.
full symmetry group96 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (rs‑2)2, s6 >
C&D number cR3.4
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S3:{6,4}.

Its Petrie dual is S5:{6,6}.

It is a 2-fold cover of C4:{4,6}3.
It is a 2-fold cover of C4:{4,6}6.
It is a 2-fold cover of S2:{4,6}.

It can be 3-split to give R19.18′.

It can be rectified to give rectification of S3:{6,4}.

List of regular maps in orientable genus 3.

Underlying Graph

Its skeleton is 2 . cubic graph.

Other Regular Maps

General Index

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