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Buffon's cross

  1. Dec 14, 2012 #1
    1. The problem statement, all variables and given/known data

    The problem is Q2 in the attached

    2. Relevant equations



    3. The attempt at a solution
    I am trying to determine the rigion of parameters for each number of crosses,where x and y are the distances of the center of cross from the closest line respectively,and θ is the acute angle.I need some help with this.My problem is in determining the geometric restrictions for each number of intersections,rather than the probability computatons.
     

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    Last edited: Dec 14, 2012
  2. jcsd
  3. Dec 14, 2012 #2

    haruspex

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    Can the cross intersect more than one line?
     
  4. Dec 15, 2012 #3
    Yes,it can.
     
    Last edited: Dec 15, 2012
  5. Dec 15, 2012 #4

    haruspex

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    I intended that as a rhetorical question. The cross is two unit-length needles joined at their mid-points; the lines are unit distance apart. The cross can intersect the same line with both needles, but I fail to see how it can intersect two lines.
     
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