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Narrow path through the Eternal Forest (Posted on 2005-05-26) Difficulty: 4 of 5
In the Eternal Forest, the trees are perfectly circular, each having a diameter of exactly one meter. They are arranged in a flat, infinite rectangular grid. The center of each tree is ten meters away from the centers of each of its closest neighbors.

There are many paths through the Eternal Forest. Each path is infinite in length, constant in width, and perfectly straight. Trees don't grow on the paths, but every path will have tree trunks touching it on either side.

What is the narrowest possible path through the Eternal Forest?

See The Solution Submitted by Tristan    
Rating: 4.1429 (7 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: All done!Richard2005-05-27 19:31:05
SolutionAll done!Jer2005-05-27 19:08:52
re(2): ThoughtsEric2005-05-27 12:56:51
re: ThoughtsJer2005-05-27 12:06:41
My AnswerRichard2005-05-27 06:20:10
ThoughtsEric2005-05-26 21:01:25
No trees on pathGamer2005-05-26 20:59:03
Some Thoughtsslopes of 1/nJer2005-05-26 19:41:23
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