http://openproblemgarden.org/op/generalised_empty_hexagon_conjecture Comments for "Generalised Empty Hexagon Conjecture" en http://openproblemgarden.org/op/generalised_empty_hexagon_conjecture <table cellspacing="10"> <tr> <td> Author(s): <a href="/category/wood_david_r">Wood</a>&nbsp;&nbsp; </td> <td align=right> Subject: <a href="/category/geometry">Geometry</a>&nbsp;&nbsp; </td> </tr> <tr> <td colspan=2> <table border=1 cellspacing="5"> <tr><td> <div class="envtheorem"><b>Conjecture</b>&nbsp;&nbsp; For each <img class="teximage" src="/files/tex/06509000d5e4893e990a6bf4e2deca4af4e82a6c.png" alt="$ \ell\geq3 $" /> there is an integer <img class="teximage" src="/files/tex/4d2a38aa4584bb0aecf3b85c5e0fc3f83263108c.png" alt="$ f(\ell) $" /> such that every set of at least <img class="teximage" src="/files/tex/4d2a38aa4584bb0aecf3b85c5e0fc3f83263108c.png" alt="$ f(\ell) $" /> points in the plane contains <img class="teximage" src="/files/tex/d2c5960dd9795a1b000a5843d282c97268e303c4.png" alt="$ \ell $" /> collinear points or an empty hexagon. </div> </tr></td> </table> </td> </tr> </table> Wood, David R. empty hexagon Geometry http://openproblemgarden.org/op/generalised_empty_hexagon_conjecture#comment Wed, 26 Mar 2014 17:32:45 +0100 David Wood 59923 at http://openproblemgarden.org