
Re: cotpi 69  Black and white plane
Posted:
Oct 2, 2013 2:40 PM


On 20131002 18:17, 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?
I must have missed something? Place an equilateral triangle anywhere on the plane Set one of its corners white, another one black What do you do with the third one?
Next question: what kind of plane makes equilateral triangles impossible? Assuming of course that "a plane" is infinite, and not constricted in a radius 0.1 circle
 Éric Lafontaine

