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Half Squared (Posted on 2004-04-08) Difficulty: 1 of 5
Given a square piece of paper, show how by creasing and folding only, a square of half the area of the original can be obtained.

See The Solution Submitted by Richard    
Rating: 3.2000 (5 votes)

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re(3): Variation: | Comment 6 of 12 |
(In reply to re(2): Variation: by Charlie)

A couple of clarifications:


Call the small creases perpendicular to AB and AD 'X' and 'Y' respectively. AO = AX = AY = .52.

A whole line segment has been labeled X and another Y, but the next equation treats X and Y as points. Actually you want to call the points where the small creases perpendicular to AB and AD meet the edges of the paper X and Y respectively.


6. Fold DC up so that D is on AY and C is on BC.

This does not specify how far along AY that D should be placed. It should be placed far enough that the fold itself includes point Y. Likewise for the next fold, which is to include point X.

< I'll leave these corrections rather than edit my original post. I've never tried to explain origami without pictures. -Jer>>

  Posted by Jer on 2004-04-08 12:12:14

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