The vertices of a convex planar nonagon determine exactly five distances if and only if they are nine vertices of a regular 10-gon or a regular 11-gon. This result has important ties to related concerns, including the maximum number of points in the plane that determine exactly five distances and, for each n ≥ 7, the smallest t for which there exists a convex n-gon whose vertices determine t distances and are not all on one circle.
|Number of pages||16|
|Publication status||Published - 1996|
ASJC Scopus subject areas
- Geometry and Topology