genus c7, non-orientable
Schläfli formula c{4,6}
V / F / E c 10 / 15 / 30
notesreplete singular is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 1
Petrie polygons
2nd-order Petrie polygons
3rd-order holes
12, each with 5 edges
20, each with 3 edges
20, each with 3 edges
10 double, each with 6 edges
rotational symmetry groupS5, with 120 elements
full symmetry groupS5, with 120 elements
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (s‑1r)3, s6, s‑1r‑1srs‑1r‑2s‑1rst  >
C&D number cN7.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is C7:{6,4}.

Its Petrie dual is N10.6.

It can be 2-fold covered to give S6:{4,6}.

List of regular maps in non-orientable genus 7.

Other Regular Maps

General Index

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