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Math Help - Points in a plane.

  1. #1
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    Points in a plane.

    These are based on a similar problem on this forum
    http://www.mathhelpforum.com/math-he...principal.html

    1. Let there be 'some' points in a plane such that distance between any two them is < 1. What is the minimum area/shape which can inscribe all these points?

    2. You grab an area by putting infinite points on a plane. Only condition - any two points you put should be <1 apart. What is the maximum area you can grab?

    Any pointers? I think I know the answer but am struggling to justify it.

    Thanks
    Last edited by aman_cc; November 19th 2009 at 02:45 AM. Reason: Wrong question
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