S4:{12,3}

Statistics

genus c4, orientable
Schläfli formula c{12,3}
V / F / E c 24 / 6 / 36
notesreplete is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 3
Petrie polygons
12, each with 6 edges
rotational symmetry groupS4×C3, with 72 elements
full symmetry group144 elements.
its presentation c< r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, (rs‑1r)3, rsr‑3sr4 >
C&D number cR4.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S4:{3,12}.

Its Petrie dual is {6,3}(0,4).

It can be obtained from the cube by Eppstein tunnelling.

It can be obtained by truncating S4:{6,12}.

List of regular maps in orientable genus 4.

Underlying Graph

Its skeleton is Nauru graph.

Other Regular Maps

General Index

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