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?
I suspect intuitively that it's not possible in 2D; but that it is possible in 3D. I'm thinking that if you imaging rotating the triangle in the third plane, say, 30 degrees, then you might get some sqrt(3) terms cancelling out.

Posted by Larry
on 20040620 13:24:48 