S3:{14,7}

Statistics

genus c	3, orientable
Schläfli formula c	{14,7}
V / F / E c	2 / 1 / 7
notes
vertex, face multiplicity c	7, 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 group	C14, with 14 elements
full symmetry group	D28, with 28 elements
its presentation c	< r, s, t | t2, rs2r, (s, r), (st)2, (rt)2, s‑7 >
C&D number c	R3.9′
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 its own 2-hole derivative.
It is its own 3-hole derivative.

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