Can an equilateral triangle have vertices at integral lattice points?
Integral lattice points are such points as (101, 254) or (3453, 12), but not points such as (123.4, 1) or (√2, 5)
If you can't find a solution in the 2D Cartesian plane, can you find one in a 3 (or more) dimensional space?
(In reply to re: Another way to think about it...
agreed on this idea, its 3 am and i dont feel like doing the algebra involved, but i wish someone would try to rotate the triangle in the 2d plane, as this would lead to infinitely more possibilities. i still believe its possible that there exists an equilateral lattice triangle in the 2d plane.
Posted by britt
on 2004-08-02 03:17:50