perplexus.info :: Geometry : Equilateral Triangle

Equilateral Triangle (Posted on 2004-06-20)

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?

No Solution Yet Submitted by SilverKnight

Rating: 2.6000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re(2): Another way to think about it...

| Comment 16 of 22 |

(In reply to re: Another way to think about it... by Richard)

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

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