The hemi-di-octagon


genus c1, non-orientable
Schläfli formula c{8,2}
V / F / E c 4 / 1 / 4
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, 8
Petrie polygons
1, with 8 edges
antipodal sets2 of ( 2v ), of ( 2e )
rotational symmetry groupD16, with 16 elements
full symmetry groupD16, with 16 elements
its presentation c< r, s, t | r2, s2, t2, (rs)4, (st)2, (rt)2 >
C&D number cN1.n4′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the hemi-8-hosohedron.

It is self-Petrie dual.

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

It can be rectified to give the hemi-8-lucanicohedron.

List of regular maps in non-orientable genus 1.

Underlying Graph

Its skeleton is 4-cycle.

Other Regular Maps

General Index

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