S3:{14,7}

Statistics

genus c3, orientable
Schläfli formula c{14,7}
V / F / E c 2 / 1 / 7
notesFaces share vertices with themselves Faces share edges with themselves trivial permutes its vertices oddly
vertex, face multiplicity c7, 14
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
7, each with 2 edges
1, with 14 edges
7, each with 2 edges
1, with 14 edges
7, each with 2 edges
rotational symmetry groupC14, with 14 elements
full symmetry groupD28, with 28 elements
its presentation c< r, s, t | t2, rs2r, (s, r), (st)2, (rt)2, s‑7 >
C&D number cR3.9′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S3{7,14}.

Its Petrie dual is the 7-hosohedron.

It can be rectified to give rectification of S3:{14,7}.

It is a member of series i.

List of regular maps in orientable genus 3.

Underlying Graph

Its skeleton is 7 . K2.

Other Regular Maps

General Index

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