NOTE ON A RAMSEY-TYPE PROBLEM IN GEOMETRY

[摘要] There exists a 2-colouring of the plane with red and blue and a configuration K of eight points (a regular heptagon plus center) such that there are no two red points at distance 1 from each other, and every configuration congruent to K has at least one red point. But in this 2-colouring, for every five-point configuration K, there is a translate of K all of whose points are blue. (C) 1994 Academic Press, Inc.

[发布日期] 1994-02-01