The hemi-di-square


genus c1, non-orientable
Schläfli formula c{4,2}
V / F / E c 2 / 1 / 2
notesVertices with < 3 edges Faces with < 3 edges Faces share edges with themselves trivial is not a polyhedral map permutes its vertices oddly cantankerous
vertex, face multiplicity c2, 4
Petrie polygons
1, with 4 edges
antipodal sets1 of ( 2v ), 1 of ( 2e )
rotational symmetry groupD8, with 8 elements
full symmetry groupD8, with 8 elements
its presentation c< r, s, t | r2, s2, t2, (rs)2, (st)2, (rt)2, rst >
C&D number cN1.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.

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