Huzita's Axioms

Huzita's Axioms are a set of seven principles that define the fundamental ways you can create new points and lines using only a compass and straightedge. They describe actions like drawing a line through two points, creating a line through a point that intersects another line, or folding a paper to align points and lines (geometric construction). These axioms form the foundation of origami and classical geometric constructions, ensuring that all possible straightedge-and-compass and paper-folding procedures follow a logical framework. They help us understand what can be constructed and how different geometric points and lines relate.