The hemi-di-decagon


genus c1, non-orientable
Schläfli formula c{10,2}
V / F / E c 5 / 1 / 5
notesVertices with < 3 edges Faces share vertices with themselves Faces share edges with themselves trivial is not a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 10
Petrie polygons
2, each with 5 edges
antipodal sets5 of ( v, e )
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-10-hosohedron.

Its Petrie dual is the di-pentagon.

It can be 2-fold covered to give the di-decagon.

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

List of regular maps in non-orientable genus 1.

Underlying Graph

Its skeleton is 5-cycle.

Other Regular Maps

General Index

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