The hemi-di-20gon

Statistics

genus c1, non-orientable
Schläfli formula c{20,2}
V / F / E c 10 / 1 / 10
notesFaces with < 3 edges Faces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 20
rotational symmetry group40 elements.
full symmetry group40 elements.
C&D number cN1.n10′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-Petrie dual.

List of regular maps in non-orientable genus 1.

Underlying Graph

Its skeleton is 10-cycle.

Other Regular Maps

General Index

Orientable
sphere | torus | 2 | 3 | 4 | 5 | 6 |
Non-orientable
projective plane | 4 | 5 | 6 | 7 |