15 + 3 points
Document A Construction by Oliver X
April 7th, 2006 5:50 PM
One geometrical construction that has been sought since ancient times is a method of trisecting an angle.
This turns out to be impossible to do with compass and straight-edge but can be done quite simply with just paper.
This turns out to be impossible to do with compass and straight-edge but can be done quite simply with just paper.
First, our piece of paper
Then, an arbitrary angle, say about 70 degrees
Fold two evenly-space parallel lines at the bottom
Fold the bottom corner so it meets the lower line, while simultaneously folding the edge corner of the upper line to meet our angle
The folded portion of the lower line is now one our trisecting rays
Making the second one left as an exercise to the reader.
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posted by Raymond Luxury Yacht on July 31st, 2006 3:20 AM
You, sir, have quadrisected this angle. In a trisection construction, one must produce only three angles.
I thought this was so neat I just had to vote for it. Thanks for the information and origami fun!