The di-nonagon


genus c0, orientable
Schläfli formula c{9,2}
V / F / E c 9 / 2 / 9
notesVertices with < 3 edges trivial is not a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 9
Petrie polygons
1, with 18 edges
antipodal sets9 of ( v, e ), 1 of ( 2f )
rotational symmetry groupD18, with 18 elements
full symmetry groupD18×C2, with 36 elements
its presentation c< r, s, t | r2, s2, t2, (rs)9, (st)2, (rt)2 >
C&D number cR0.n9′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the 9-hosohedron.

Its Petrie dual is the hemi-di-18gon.

It can be rectified to give the 9-lucanicohedron.

List of regular maps in orientable genus 0.

Underlying Graph

Its skeleton is 9-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