# Mission Impossible

• 2013-04-08, 20:55
Maudibe
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.

Attachment 34868

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"
• 2013-04-09, 10:59
mrjimphelps
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:

Attachment 34874

Step two is to add vertical and horizontal bisecting lines:

Attachment 34875

Mission Accomplished!
• 2013-04-09, 12:08
Maudibe
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.
• 2013-04-09, 15:13
F.U.N. downtown
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.
• 2013-04-10, 20:47
Maudibe
Not Yet Solved
Quote:

Is there no one else? Is there no one else? Achilles, the movie Troy
Sometimes the easiest puzzles are the hardest to solve
• 2013-04-10, 21:08
F.U.N. downtown
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).
• 2013-04-10, 21:27
F.U.N. downtown
My quarters are sloppy but ya see what I mean, ok, drool time, perchance to dream.

Attachment 34893
• 2013-04-10, 22:12
Maudibe
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!
• 2013-04-11, 11:13
mrjimphelps
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! :^_^: