{4,4}(1,0)

Statistics

genus c1, orientable
Schläfli formula c{4,4}
V / F / E c 1 / 1 / 2
notesFaces share vertices with themselves Faces share edges with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly
vertex, face multiplicity c4, 4
Petrie polygons
holes
2nd-order Petrie polygons
2, each with 2 edges
4, each with 1 edges
2, each with 2 edges
rotational symmetry groupC4, with 4 elements
full symmetry groupD8, with 8 elements
C&D number cR1.s1-0
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 hemi-4-hosohedron.

It can be 2-fold covered to give {4,4}(1,1).

It can be rectified to give {4,4}(1,1).

It can be stellated (with path <2,1;1,2>) to give S2:{8,8} . The density of the stellation is 6.

It is a member of series β.
It is a member of series κ'°.

List of regular maps in orientable genus 1.

Wireframe constructions

x {4,4} 2/2 | 2/2 | 2 × the dimonogon
y {2,2} 2/1 | 2/1 | 2 × the dimonogon

Underlying Graph

Its skeleton is 2 . 1-cycle.

Other Regular Maps

General Index

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

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