[Guest]

Slice the picture into 2 identical/symmetrical sections

Edited December 6, 2011 by rookie1ja
picture attached directly inside post

[Guest]

how many cuts are we allowed?

[Guest]

I'd say one cut, but it doesn't have to be a straight line. I.E the cut can be L shaped.

[mewminator]

I'd say one cut, but it doesn't have to be a straight line. I.E the cut can be L shaped.

when you slice something in 2 you'd only need one straight line (so assuming the correct verb was used it's one straight line)

Edited December 7, 2011 by mewminator

[Guest]

you have to slice them to 2 figures to be the same (symetric)

[CaptainEd]

Akram Abu, I'm having difficulty with the word "slice". Here are some questions that may help me:

(1) Assumption: all the cutting has to be done on the grid lines, is that true?

(2) Assumption: a cut can "turn a corner"; that is, the cut can go North for a while, then turn East, then turn North again, then possibly West, etc. Is that true?

(3) Question: can we separate this piece into more than 2 pieces, and then reassemble them to form the two identical/symmetric shapes?

If you color this figure like a chessboard, there are 27 black and 27 white. When they are separated, each piece will have 14 of one color and 13 of the other. In fact, one will have 14 black, while the other will have 14 white.

That means that the square that corresponds (through symmetry) to a black square in one piece will be white in the other piece.

I guess, if we're permitted to make many pieces and reassemble them, this statement won't be totally true...But I doubt that.

Edited December 7, 2011 by CaptainEd

[Guest]

Thank you for interesting,

I dont know the answer of this puzzle I tried alot but I cant.

I think you have to cut this figure as you like to 2 symetrical figures only 2 not more.

[curr3nt]

Is there supposed to be a solution?

For the pieces to be rotations of each other each piece would have to fit within a 6x6 cube. The height of one piece would equal the width of the other.

I can't see a way to fill the center grey area with 5 blue and 7 green squares that would make two symmetrical pieces.

Without rotation we have mirroring over the horizontal and vertical axes. I can't see any way to get those to work either.

[Guest]

Note that the original question requires the 2 final pieces to be3 identical and symmetrical.

requires a little sideways thinking. The problem did not specifically prevent cut and paste operations. Assuming that each section is supposed to be square, then cut the 2 squares that protrude on the right, rotate 90 degrees and paste in upper left corner. Now we have a 6 X 9 rectangle easily sliced horizontally between third and fourth rows, forming two 3 X 9 rectangles.

[Guest]

I'd assume that cutting and pasting is cheating.

[mewminator]

I'd assume that cutting and pasting is cheating.

how about cutting only?

[mewminator]

Is there supposed to be a solution?

For the pieces to be rotations of each other each piece would have to fit within a 6x6 cube. The height of one piece would equal the width of the other.

I can't see a way to fill the center grey area with 5 blue and 7 green squares that would make two symmetrical pieces.

Without rotation we have mirroring over the horizontal and vertical axes. I can't see any way to get those to work either.

cut off the last 2 lines completely from the grey and green areas and fill the rest with green