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Topic: my simple idea on isoperimetric
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 ludolf Posts: 5 Registered: 3/18/14
my simple idea on isoperimetric
Posted: Mar 18, 2014 8:57 AM
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There is a way to change any shape into 4 parts symmetric

put the 4 parts symmetric shape into coordinate system, and mark a middle point on the perimeter of each quadrant, and connect it with O point of coordinate, the line cuts the shape into 8 parts(the red parts and grey parts). take away the grey parts and have the 2 red parts which locate in the 1st and 2nd quadrant stay in the position and have other red parts anticlockwise rotate to the edge of the red part. and also the grey parts, and put them together again to forum a new shape, you can see it only have the perimeter outside.

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