The hemi-2-hosohedron

Statistics

genus c1, non-orientable
Schläfli formula c{2,2}
V / F / E c 1 / 1 / 1
notesVertices with < 3 edges Faces with < 3 edges Faces share edges with themselves Faces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 1
Petrie polygons
2, each with 1 edges
rotational symmetry groupC2×C2, with 4 elements
full symmetry groupC2×C2, with 4 elements
its presentation c< r, s, t | r2, s2, t2, rs, st >
C&D number cN1.n1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is the dimonogon.

It can be 2-fold covered to give the 2-hosohedron.

It can be rectified to give the hemi-4-hosohedron.

It is the half shuriken of the monodigon.

List of regular maps in non-orientable genus 1.

Underlying Graph

Its skeleton is 1-cycle.

Other Regular Maps

General Index

The image on this page is copyright © 2010 N. Wedd