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.)

I think I got it.

| Comment 3 of 22 |

(0,3,0) (-2,0,1) (2,0, -1)

Sorry, this is not correct.

Edited on June 20, 2004, 2:00 pm

Edited on June 20, 2004, 2:07 pm

Posted by Larry on 2004-06-20 13:56:01

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