The di-pentagon

Statistics

genus c	0, orientable
Schläfli formula c	{5,2}
V / F / E c	5 / 2 / 5
notes
vertex, face multiplicity c	1, 5
Petrie polygons	1, each with 10 edges
antipodal sets	5 of ( v, e ), 1 of ( 2f )
rotational symmetry group	D10, with 10 elements
full symmetry group	D20, with 20 elements
its presentation c	< r, s, t | r2, s2, t2, (rs)5, (st)2, (rt)2 >
C&D number c	R0.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.

It is a member of series α'°' .

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

Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720

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