S6:{26,13}

Statistics

genus c6, orientable
Schläfli formula c{26,13}
V / F / E c 2 / 1 / 13
notesFaces share vertices with themselves Faces share edges with themselves trivial is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c13, 26
Petrie polygons
13, each with 2 edges
rotational symmetry groupC26, with 26 elements
full symmetry groupD52, with 52 elements
its presentation c< r, s, t | t2, rs2r, (s, r), (st)2, (rt)2, s‑1r2ts7r‑1ts‑1r  >
C&D number cR6.11′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{13,26}.

Its Petrie dual is the 13-hosohedron.

It is a member of series i.

List of regular maps in orientable genus 6.

Underlying Graph

Its skeleton is 13 . K2.

Other Regular Maps

General Index

The images on this page are copyright © 2010 N. Wedd