The hemi-di-square

Statistics

genus c	1, non-orientable
Schläfli formula c	{4,2}
V / F / E c	2 / 1 / 2
notes
vertex, face multiplicity c	2, 4
Petrie polygons	1, with 4 edges
antipodal sets	1 of ( 2v ), 1 of ( 2e )
rotational symmetry group	D8, with 8 elements
full symmetry group	D8, with 8 elements
its presentation c	< r, s, t | r2, s2, t2, (rs)2, (st)2, (rt)2, rst >
C&D number c	N1.n2′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the hemi-4-hosohedron.

It is self-Petrie dual.

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

It can be rectified to give the hemi-4-lucanicohedron.

It is a member of series κ.

List of regular maps in non-orientable genus 1.

Underlying Graph

Its skeleton is 2 . K₂.

Other Regular Maps

General Index

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