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Equilateral Triangle (Posted on 2004-06-20) Difficulty: 4 of 5
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: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsRegular tetrahedron too!McWorter2005-03-03 22:26:40
Will a complex number argument do?McWorter2005-03-03 05:08:09
re: Obviously no in 2D Geometry.nikki2005-01-24 20:35:52
Obviously no in 2D Geometry.Pemmadu Raghu Ramaiah2005-01-24 19:48:00
re(3): Another way to think about it...Bractals2004-08-02 19:22:12
Some Thoughtsre(2): Another way to think about it...britt2004-08-02 03:17:50
QuestionHelp.Vee-Liem Veefessional2004-07-30 02:52:03
Solution2D No - 3D ?Jerry2004-07-17 13:49:49
Solution3Dvije2004-07-10 10:30:52
re: Another way to think about it...Richard2004-06-25 13:28:49
Another way to think about it...Gromit2004-06-25 02:43:22
re(4): short answers to a short q.Ady TZIDON2004-06-23 10:21:01
re(3): short answers to a short q.Richard2004-06-22 13:04:33
Some Thoughtsre(2): short answers to a short q.Ady TZIDON2004-06-22 11:58:31
re: short answersPenny2004-06-21 17:51:32
ReferenceRichard2004-06-20 19:53:33
SolutionProofTristan2004-06-20 15:52:09
3D, YES; 2D ???Richard2004-06-20 14:27:03
Some ThoughtsI think I got it.Larry2004-06-20 13:56:01
Solutionshort answersAdy TZIDON2004-06-20 13:32:52
a thoughtLarry2004-06-20 13:24:48
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