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Simple Origami? (Posted on 2006-03-07) Difficulty: 3 of 5
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)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
QuestionForest and TreesBractals2006-03-11 22:39:30
Hints/Tipsre: refining the answer-computer solutionBractals2006-03-08 04:41:52
re: refining the answer-computer solutionEric2006-03-08 02:13:16
Solutionrefining the answer-computer solutionCharlie2006-03-07 22:52:54
Experimental result 2goFish2006-03-07 15:34:01
Some ThoughtsExperimental result 1goFish2006-03-07 15:31:08
clarificationRollercoaster2006-03-07 13:27:58
Some Thoughtssome initial thoughts (stating the obvious)Rollercoaster2006-03-07 13:24:22
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