The Heawood map

Statistics

genus c	1, orientable
Schläfli formula c	{6,3}
V / F / E c	14 / 7 / 21
notes
vertex, face multiplicity c	1, 1
Petrie polygons	3, each with 14 edges
antipodal sets	7 of ( 2v, f ), 7 of ( 3e )
rotational symmetry group	C7⋊C6, with 42 elements
full symmetry group	C7⋊C6, with 42 elements
C&D number c	C1.t1-3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the dual Heawood map.

Its Petrie dual is S3:{14,3}a.

It can be 3-fold covered to give {6,3}_(3,5).

It can be rectified to give rectification of {6,3}_(1,3).

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is Heawood graph.

Comments

Each of the seven hexagons borders each of the other six.

It can be embedded in three-space, with flat non-intersecting (but irregular) faces, as the Szilassi polyhedron.

Other Regular Maps

General Index

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