A detailed presentation of little-known constructions with straightedge and compass, such as (1) the collapsing compass, (2) approximations to pi, (3) the Mohr-Mascheroni theorem that a compass alone is sufficient, (4) Steiner's theorem that a straightedge alone with one circle is sufficient.
The mathematics of origami: the seven axioms and Beloch's method of finding roots of cubic polynomials using origami, based on Lill's method for verifying roots of polynomials.