The hemi-4-hosohedron

Statistics

genus c	1, non-orientable
Schläfli formula c	{2,4}
V / F / E c	1 / 2 / 2
notes
vertex, face multiplicity c	4, 2
Petrie polygons holes 2nd-order Petrie polygons	1, with 4 edges 2, each with 2 edges 4, each with 1 edges
antipodal sets	1 of ( 2f ), 1 of ( 2e, 2h2 )
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-di-square.

Its Petrie dual is {4,4}_(1,0).

It can be 2-fold covered to give the 4-hosohedron.

It can be rectified to give the hemi-4-lucanicohedron.
It is the result of rectifying the hemi-2-hosohedron.

It can be truncated to give the hemicube.

It can be pyritified (type 2/4/3/4) to give the hemioctahedron.

It is the half shuriken of the 2-hosohedron.

List of regular maps in non-orientable genus 1.

Underlying Graph

Its skeleton is 2 . 1-cycle.

Other Regular Maps

General Index

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