The hemi-di-hexagon


genus c1, non-orientable
Schläfli formula c{6,2}
V / F / E c 3 / 1 / 3
notesVertices with < 3 edges Faces share vertices with themselves Faces share edges with themselves trivial is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 6
Petrie polygons
2, each with 3 edges
antipodal sets3 of ( v, e )
rotational symmetry groupD12, with 12 elements
full symmetry groupD12, with 12 elements
its presentation c< r, s, t | r2, s2, t2, (rs)3, (st)2, (rt)2 >
C&D number cN1.n3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the hemi-6-hosohedron.

Its Petrie dual is the di-triangle.

It can be 2-fold covered to give the di-hexagon.

It can be rectified to give the hemi-6-lucanicohedron.

List of regular maps in non-orientable genus 1.

Underlying Graph

Its skeleton is K3.

Other Regular Maps

General Index

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