| |
|
|
| |
|
|
| 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. 453-458 |
| |
|
|
| Url |
|
http://link.springer.com/article/10.1007/s13366-015-0271-5/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. |
| |
|
|
| |
|
|
| |
|
|
| |
|
|