The di-triangle


genus c0, orientable
Schläfli formula c{3,2}
V / F / E c 3 / 2 / 3
notesVertices with < 3 edges trivial is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 3
Petrie polygons
1, with 6 edges
antipodal sets3 of ( v, e ), 1 of ( 2f )
rotational symmetry groupD6, with 6 elements
full symmetry groupD12, with 12 elements
its presentation c< r, s, t | r2, s2, t2, (rs)3, (st)2, (rt)2 >
C&D number cR0.n3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the 3-hosohedron.

Its Petrie dual is the hemi-di-hexagon.

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

It can be rectified to give the 3-lucanicohedron.

List of regular maps in orientable genus 0.

Underlying Graph

Its skeleton is K3.

Cayley Graphs based in this Regular Map

Type I


Other Regular Maps

General Index

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