The hemi-8-hosohedron


genus c1, non-orientable
Schläfli formula c{2,8}
V / F / E c 1 / 4 / 4
notesFaces with < 3 edges Faces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly
vertex, face multiplicity c8, 1
Petrie polygons
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
1, with 8 edges
4, each with 2 edges
2, each with 4 edges
4, each with 2 edges
1, with 8 edges
4, each with 2 edges
antipodal sets2 of ( 2f, 2h3 ), 2 of ( 2e, 2h2, 2h4; 2p2 )
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-di-octagon.

Its Petrie dual is S2:{8,8}.

It can be 2-fold covered to give the 8-hosohedron.

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

It is the half shuriken of the 4-hosohedron.

List of regular maps in non-orientable genus 1.

Underlying Graph

Its skeleton is 4 . 1-cycle.

Other Regular Maps

General Index

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