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): short answers to a short q.

| Comment 8 of 22 |

(In reply to re: short answers by Penny)

No , Mam

For a) the irrationality speaks for itself.
For b) I have just imagined a triangle (0;0),(2*a,0), (a, sqrt3*a) rotated 60 degrees around 0X, creating (0;0;0)(2a;0;0)(a;a;2*a), 'a' being an integer.
a votre service
a

Posted by Ady TZIDON on 2004-06-22 11:58:31

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