





Contact 

Nicollier Grégoire 



Title 

A Characterization of Affinely Regular Polygons 



Author(s) 

Nicollier G. 



References 

Beiträge zur Algebra und Geometrie, Volume 57, Issue 2, pp. 453458 



Url 

http://link.springer.com/article/10.1007/s1336601502715/fulltext.html 



Abstract 

We characterize affinely regular polygons in a real affine space as follows. Consider two polygons P and Q with the same number of vertices and a common side, P being an affine image of some (convex or nonconvex) regular polygon. Q is then an affine image of the same regular polygon if and only if the vectors between the corresponding vertices of P and Q are uniquely determined multiples of the vector between the vertices just after the common side. 











