The hemi-di-dodecagon

Statistics

genus c	1, non-orientable
Schläfli formula c	{12,2}
V / F / E c	6 / 1 / 6
notes
vertex, face multiplicity c	1, 12
Petrie polygons	1, each with 12 edges
antipodal sets	3 of ( 2v ), 3 of ( 2e )
rotational symmetry group	D24, with 24 elements
full symmetry group	D24, with 24 elements
its presentation c	< r, s, t | r2, s2, t2, (rs)6, (st)2, (rt)2 >
C&D number c	N1.n6′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the hemi-12-hosohedron.

It is self-Petrie dual.

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

It can be rectified to give the hemi-12-lucanicohedron.

It is a member of series β' .

List of regular maps in non-orientable genus 1.

Underlying Graph

Its skeleton is 6-cycle.

Other Regular Maps

General Index

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