Huzita's Basic Origami Fold in Geometric Algebra

This short note describes the first step of the application of the geometric algebra (GA) to the computational origami system called Eos. Main results are the formalization of GA in Isabelle/HOL and the re-statement of Huzita's basic fold operations in equalities in GA. By solving the equalities we can obtain the fold line (s) that are used in each step of origami construction.