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3-d grid hunting (Posted on 2004-03-25) Difficulty: 2 of 5
Find two regular tetrahedra that share a face placed in a way such that each vertex has integer coordinates.

  Submitted by Tristan    
Rating: 3.1667 (6 votes)
Solution: (Hide)
Here is a visual of the tetrahedrons, where the numbers represent the vertices and their z values (depth).

∙1∙∙4
∙∙∙∙∙
∙∙∙∙∙
∙4∙∙1
0∙∙∙∙

The coordinates are:
(0,0,0)
(4,1,1)
(1,4,1)
(1,1,4)
(4,4,4)

Of course, there are infinite solutions, but this is the smallest one.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(3): question? -My badJer2004-03-29 12:19:21
re(2): question?Thalamus2004-03-26 13:49:47
re: question?Jer2004-03-26 12:20:52
question?Victor Zapana2004-03-26 06:50:57
re: SolutionThalamus2004-03-25 15:29:15
SolutionSolutione.g.2004-03-25 14:56:25
SolutionsolutionSilverKnight2004-03-25 14:50:21
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