ABSTRACT
Several paper-folding mathematicians have explored this problem before-most notably, Robert Geretschla¨ger, whose book Geometric Origami
[Geretschla¨ger 08] is the most complete treatment of axiomatic origami I have ever seen; he uses polygon constructions to demonstrate its axiomatic construction methods. Generally, exact polygons are constructed using translations of existing straightedge and compass constructions. From a mathematical standpoint, these are very interesting. In practice, however, they have several flaws: they seem arbitrary and are therefore hard to memorize, their folding sequences are often difficult to perform accurately, and they often produce a large number of extra creases that cannot be used later in the model.
