
Re: cotpi 69  Black and white plane
Posted:
Oct 3, 2013 3:55 AM


On Wed, 2 Oct 2013, cotpi wrote:
> How can you construct a plane where every point is coloured > either black or white such that two points of the same colour > are never a unit distance apart?
You cannot. Let ABC be an equilateral triangle with unit sides.
Pick a color for A, black for example. Then B and C have to be colored white and they're at a unit distance. Oh my.

