Article : Constructions par pliage - Colegiul National Emil Racovita (Cluj - Roumanie)

This work presents geometric constructions by folding paper. It is shown how to obtain any arbitrary positive rational length, the square root of any given length already built and finally the trisection of an angle. The structure of all numbers that are constructible by folding paper is investigated and they are put in comparison to those obtained by straightedge and compass constructions, showing that paper folding allows more possibilities.