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Some links to websites that discuss origami constructions.
Origami
Trisection of an angle How can you trisect an angle? It can be
shown it's impossible to do this with ruler and compass alone, (using
Galois theory) - so don't try it!!! But you may be able to find some
good approximations. However, in origami, you can get accurate
trisection of an acute angle.
Tom Hull's Home Page
He is an expert on the mathemctics of origami. This page has many
origami related links.
These pages are an attempt to begin collecting
information on the mathematics of paper folding. Anyone who has
practiced origami has probably, at one time or another, unfolded an
origami model and marveled at the intricate crease pattern which forms
the "blueprint" of the fold. Clearly there are some rules at play in
these collection of creases. Clearly there is an origami geometry at
work when paper is folded.
Here is a review of his book Project Origami:
Activities for Exploring
Mathematics>
Robert J. Lang's
Origami page This page contains various and sundry links to web
pages that combine origami with mathematical or scientific
applications.