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  1. #1
    Bronze Lounger Maudibe's Avatar
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    Mission Impossible

    Let's take it up a notch!

    In the following figure, its perimeter is marked in multiples of "x". Your assignment, if you choose to accept it, is to divide this object into 4 pieces that have the same exact shape and size. In other words, if you were to stack the 4 pieces on top of each other and look downward on them, you would see the outline of only 1 shape.

    Puzzle.jpg

    If this puzzle drives you into submission, "the Secretary of State will disavow any knowledge of your actions. This post will self-destruct in five seconds.

    Good luck"

  2. #2
    Silver Lounger mrjimphelps's Avatar
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    Jim Phelps here.

    You know that Jim always got the impossible mission accomplished.

    Step one is to redraw the two "inner" x-lines, so that the entire object is now a square:

    1.JPG

    Step two is to add vertical and horizontal bisecting lines:

    2.JPG

    Mission Accomplished!

  3. #3
    Bronze Lounger Maudibe's Avatar
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    Clever but not quite Mr Phelps! You have divided a totally different object into 4 duplicate parts. It must the the "L" shaped object in my original post.

  4. #4
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    Ya the key is the missing fourth because that tells one the exact amount of extraction there must be from the remaining space to produce 4 equal sizes, but the shape of the sizes is above my pay grade.

  5. #5
    Bronze Lounger Maudibe's Avatar
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    Not Yet Solved

    Is there no one else? Is there no one else? Achilles, the movie Troy
    Sometimes the easiest puzzles are the hardest to solve

  6. #6
    Silver Lounger
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    After you posted #5 I took a second look, treated as 3/4ths of a square, Jim only needed to complete what was started by quartering each of the three remaining squares and then just figure out the pattern of selecting 3 quarter squares that would result in all being the same shape. I'll draw a schematic if I don't fall asleep first (long day).

  7. #7
    Silver Lounger
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    My quarters are sloppy but ya see what I mean, ok, drool time, perchance to dream.


    Image1.jpg

  8. The Following User Says Thank You to F.U.N. downtown For This Useful Post:

    mrjimphelps (2013-04-11)

  9. #8
    Bronze Lounger Maudibe's Avatar
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    S.O.L.V.E.D.

    Finding the least common multiple of 3 (the number of segments) and 4 (the number of shapes) would indicate that you would need to create 12divisions. Then, to make 4 shapes with 3 divisions in each.

    Nice Graphics!
    Last edited by Maudibe; 2013-04-10 at 23:18.

  10. #9
    Silver Lounger mrjimphelps's Avatar
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    I didn't have the mental energy or time to fight with it for long.

    Always nice to see an elegant solution. Always a bummer that I wasn't the one who figured it out!

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