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: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Thoughts	K Sengupta	2022-05-24 21:39:03
Regular tetrahedron too!	McWorter	2005-03-03 22:26:40
Will a complex number argument do?	McWorter	2005-03-03 05:08:09
re: Obviously no in 2D Geometry.	nikki	2005-01-24 20:35:52
Obviously no in 2D Geometry.	Pemmadu Raghu Ramaiah	2005-01-24 19:48:00
re(3): Another way to think about it...	Bractals	2004-08-02 19:22:12
re(2): Another way to think about it...	britt	2004-08-02 03:17:50
Help.	Vee-Liem Veefessional	2004-07-30 02:52:03
2D No - 3D ?	Jerry	2004-07-17 13:49:49
3D	vije	2004-07-10 10:30:52
re: Another way to think about it...	Richard	2004-06-25 13:28:49
Another way to think about it...	Gromit	2004-06-25 02:43:22
re(4): short answers to a short q.	Ady TZIDON	2004-06-23 10:21:01
re(3): short answers to a short q.	Richard	2004-06-22 13:04:33
re(2): short answers to a short q.	Ady TZIDON	2004-06-22 11:58:31
re: short answers	Penny	2004-06-21 17:51:32
Reference	Richard	2004-06-20 19:53:33
Proof	Tristan	2004-06-20 15:52:09
3D, YES; 2D ???	Richard	2004-06-20 14:27:03
I think I got it.	Larry	2004-06-20 13:56:01
short answers	Ady TZIDON	2004-06-20 13:32:52
a thought	Larry	2004-06-20 13:24:48

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