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.)

3D, YES; 2D ???

| Comment 4 of 22 |

(1,0,0), (0,1,0), (0,0,1) clearly are the vertices of an equilateral triangle in 3D.

2D ???

Posted by Richard on 2004-06-20 14:27:03

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