The hemi-14-hosohedron

Statistics

genus c1, non-orientable
Schläfli formula c{2,14}
V / F / E c 1 / 7 / 7
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 c14, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
5th-order holes
5th-order Petrie polygons
6th-order holes
6th-order Petrie polygons
7th-order holes
2, each with 7 edges
7, each with 2 edges
1, with 14 edges
7, each with 2 edges
2, each with 7 edges
7, each with 2 edges
1, with 14 edges
7, each with 2 edges
2, each with 7 edges
7, each with 2 edges
1, with 14 edges
7, each with 2 edges
antipodal sets7 of ( f, e, h2, h3, h4, h5, h6, h7 ), 1 of ( 2p1, 2p3, 2p5 )
rotational symmetry groupD28, with 28 elements
full symmetry groupD28, with 28 elements
its presentation c< r, s, t | r2, s2, t2, (rs)4, (st)2, (rt)2 >
C&D number cN1.n7
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the hemi-di-14gon.

Its Petrie dual is S3{7,14}.

It can be 2-fold covered to give the 14-hosohedron.

It can be rectified to give the hemi-14-lucanicohedron.

It is the half shuriken of the 7-hosohedron.

List of regular maps in non-orientable genus 1.

Underlying Graph

Its skeleton is 7 . 1-cycle.

Other Regular Maps

General Index

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