The hemi-10-hosohedron

Statistics

genus c1, non-orientable
Schläfli formula c{2,10}
V / F / E c 1 / 5 / 5
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 c10, 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
2, each with 5 edges
5, each with 2 edges
1, with 10 edges
5, each with 2 edges
2, each with 5 edges
5, each with 2 edges
1, with 10 edges
5, each with 2 edges
10, each with 1 edges
antipodal sets5 of ( f, e, h2, h3, h4, h5_, 1 of ( 2p1, 2p3 )
rotational symmetry groupD20, with 20 elements
full symmetry groupD20, with 20 elements
its presentation c< r, s, t | r2, s2, t2, (rs)5, (st)2, (rt)2 >
C&D number cN1.n5
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the hemi-di-decagon.

Its Petrie dual is S2:{5,10}.

It can be 2-fold covered to give the 10-hosohedron.

It can be rectified to give the hemi-10-lucanicohedron.

It is its own 3-hole derivative.

It is the half shuriken of the 5-hosohedron.

List of regular maps in non-orientable genus 1.

Underlying Graph

Its skeleton is 5 . 1-cycle.

Other Regular Maps

General Index

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