Description
In an origami construction, we start with an infinite sheet of paper that we can consider to be the complex plane, with two marked points on it: 0 and 1. Origami constructions consist simply of a series of folds in the paper following certain axiomatic rules, using pre-existing points and lines. When the paper is folded and unfolded, it leaves a crease which is an affine line. In our setting, a point is constructible if it lies at the intersection of two creases.
Let's see if this construction yields more interesting results than the bare ruler and compass!