There are integral heptagons, no three points on a line, no four on a circle
Combinatorics
2008-04-09 v1
Abstract
We give two configurations of seven points in the plane, no three points in a line, no four points on a circle with pairwise integral distances. This answers a famous question of Paul Erd\H{o}s.
Cite
@article{arxiv.0804.1303,
title = {There are integral heptagons, no three points on a line, no four on a circle},
author = {Tobias Kreisel and Sascha Kurz},
journal= {arXiv preprint arXiv:0804.1303},
year = {2008}
}
Comments
4 pages, 1 figure