S6:{14,14}

Statistics

genus c6, orientable
Schläfli formula c{14,14}
V / F / E c 2 / 2 / 14
notesFaces share vertices with themselves trivial is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c14, 14
Petrie polygons
14, each with 2 edges
rotational symmetry groupC7×C2×C2, with 28 elements
full symmetry groupD28×C2, with 56 elements
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r12s‑2  >
C&D number cR6.12
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is the 14-hosohedron.

It can be built by 2-splitting S3{7,14}.

It can be rectified to give S6:{14,4}.

It is a member of series k.

List of regular maps in orientable genus 6.

Wireframe construction

z  {14,14}  2/7 | 2/7 | 2 × the 7-hosohedron

Underlying Graph

Its skeleton is 14 . K2.

Other Regular Maps

General Index

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