The hemi-di-hexagon

Statistics

genus c	1, non-orientable
Schläfli formula c	{6,2}
V / F / E c	3 / 1 / 3
notes
vertex, face multiplicity c	1, 6
Petrie polygons	2, each with 3 edges
antipodal sets	3 of ( v, e )
rotational symmetry group	D12, with 12 elements
full symmetry group	D12, with 12 elements
its presentation c	< r, s, t | r2, s2, t2, (rs)3, (st)2, (rt)2 >
C&D number c	N1.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.

It is a member of series α°' .
It is a member of series δ'°' .
It is a member of series ξ'°' .

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