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 Simple Origami? (Posted on 2006-03-07)
Take a square piece of paper oriented with its top horizontal. Fold it along any line that passes through the center and forms an angle of between 0 and 45 degrees with the horizontal.
The outline of the resulting shape is a nonagon.

What angle will maximize the perimeter of this nonagon?

What angle will maximize the area of this nonagon?

Is there any other single fold (not through the center) that can do better for either of these?

 No Solution Yet Submitted by Jer Rating: 4.0000 (2 votes)

 Subject Author Date Forest and Trees Bractals 2006-03-11 22:39:30 re: refining the answer-computer solution Bractals 2006-03-08 04:41:52 re: refining the answer-computer solution Eric 2006-03-08 02:13:16 refining the answer-computer solution Charlie 2006-03-07 22:52:54 Experimental result 2 goFish 2006-03-07 15:34:01 Experimental result 1 goFish 2006-03-07 15:31:08 clarification Rollercoaster 2006-03-07 13:27:58 some initial thoughts (stating the obvious) Rollercoaster 2006-03-07 13:24:22

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