The hemi-8-hosohedron

Statistics

genus c	1, non-orientable
Schläfli formula c	{2,8}
V / F / E c	1 / 4 / 4
notes
vertex, face multiplicity c	8, 1
Petrie polygons holes 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 sets	2 of ( 2f, 2h3 ), 2 of ( 2e, 2h2, 2h4; 2p2 )
rotational symmetry group	D16, with 16 elements
full symmetry group	D16, with 16 elements
its presentation c	< r, s, t | r2, s2, t2, (rs)4, (st)2, (rt)2 >
C&D number c	N1.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 its own 3-hole derivative.

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