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Math Help - i need to show FULL working and proof...

  1. #1
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    i need to show FULL working and proof...

    is it possible to draw 6 lines in the plane so that each line crosses exactly 4 others? if it is, then explain clearly how the lines should be drawn, if not possible then explain why not. (line goes to infinity both ways)



    xxx
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  2. #2
    Super Member

    Joined
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    Lexington, MA (USA)
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    Hello, mich13!

    I assume you made some sketches . . .


    Is it possible to draw 6 lines in the plane so that each line crosses exactly 4 others?
    Code:
                  \   \ /   /
                   \   *   /
                    \ / \ /
                     *   *
                    / \ / \
                   /   *   \
                  /   / \   \
                 /   /   \   \
                /   /     \   \
               /   /       \   \
          ----*---*---------*---*----
             /   /           \   \
          --*---*-------------*---*--
           /   /               \   \
          /   /                 \   \
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