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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: ( Back to comment list | You must be logged in to post comments.)
Experimental result 2 | Comment 4 of 8 |
The maximum area found was 59% of the square at about 21 degrees.
  Posted by goFish on 2006-03-07 15:34:01
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