The monodigon


genus c0, orientable
Schläfli formula c{2,1}
V / F / E c 2 / 1 / 1
notesVertices with < 3 edges Faces with < 3 edges Faces share edges with themselves trivial is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 2
Petrie polygons
1, with 2 edges
antipodal sets1 of ( 2v ), 1 of ( f, e )
rotational symmetry groupC2, with 2 elements
full symmetry groupC2×C2, with 4 elements
its presentation c< r, s, t | r2, s2, t2, (rs)2, st >
C&D number cR0.n1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the dimonogon.

It is self-Petrie dual.

It can be rectified to give the 1-lucanicohedron.

It can be diagonalised to give the 2-hosohedron.

Its half shuriken is the hemi-2-hosohedron.

It is a member of series i.

List of regular maps in orientable genus 0.

Underlying Graph

Its skeleton is K2.

Cayley Graphs based in this Regular Map

Type I


Other Regular Maps

General Index

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