1. ## 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. 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. 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. 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. ## 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. 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. 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. 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!

10. 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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