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Topic: Landscape Specialist: Four equidistant trees (Read 1622 times) |
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ephyzy
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Landscape Specialist: Four equidistant trees
« on: Mar 23rd, 2010, 11:59pm » |
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You are a landscape specialist, and have been asked to design a garden for a math professor. He wants four trees that are all equidistant from each other. How do you place the trees?
I saw this on the Riddles site but I think the solution is non-planar because I do not know of any plane figure with 4 equidistant points! (Please correct me if I am wrong)
So I think it is as follows:
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Each tree will be the vertex of a pyramid of equilateral sides. The tree at the pyramid's apex can be raised on a cluster of sand or the other three could be lowered by planting them in deep trenches.
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Does this work?
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ephyzy
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Re: Landscape Specialist: Four equidistant trees
« Reply #1 on: Mar 24th, 2010, 12:07am » |
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Wow I'm Sorry. I just found out that I didn't search far enough into the past. It's discussed here already.
Placing Trees
My bad. I'm new here 
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| « Last Edit: Mar 24th, 2010, 12:08am by ephyzy » |
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