The di-14gon


genus c0, orientable
Schläfli formula c{14,2}
V / F / E c 14 / 2 / 14
notesVertices with < 3 edges trivial is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 14
Petrie polygons
2, each with 14 edges
antipodal sets7 of ( 2v, 2e ), 1 of ( 2f )
rotational symmetry groupD28, with 28 elements
full symmetry groupD28×C2, with 56 elements
its presentation c< r, s, t | r2, s2, t2, (rs)14, (st)2, (rt)2 >
C&D number cR0.n14′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the 14-hosohedron.

It is self-Petrie dual.

It is a 2-fold cover of the hemi-di-14gon.

It can be built by 2-splitting the di-heptagon.

It can be rectified to give the 14-lucanicohedron.

List of regular maps in orientable genus 0.

Underlying Graph

Its skeleton is 14-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