The di-pentagon


genus c0, orientable
Schläfli formula c{5,2}
V / F / E c 5 / 2 / 5
notesVertices with < 3 edges trivial is not a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 5
Petrie polygons
1, with 10 edges
antipodal sets5 of ( v, e ), 1 of ( 2f )
rotational symmetry groupD10, with 10 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 cR0.n5′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the 5-hosohedron.

Its Petrie dual is the hemi-di-decagon.

It can be 2-split to give the di-decagon.

It can be rectified to give the 5-lucanicohedron.

List of regular maps in orientable genus 0.

Underlying Graph

Its skeleton is 5-cycle.

Cayley Graphs based in this Regular Map

Type I


Other Regular Maps

General Index

The images on this page are copyright © 2010 N. Wedd