: Ben-Ari covers the Five-Color and Six-Color theorems, as well as Ramsey Theory, which investigates how large a system must be to guarantee a certain level of order. Accessibility and Pedagogy (PDF) Mathematical Surprises - ResearchGate
: The book’s technical highlight is Carl Friedrich Gauss’s algebraic proof for constructing a regular 17-sided polygon using only a straightedge and compass—a feat that eluded mathematicians for two millennia. Modern Applications: Origami and Combinatorics Mathematical Surprises free ebook download
: It formalizes the Huzita-Hatori axioms, showing that paper folding is actually more powerful than traditional compass-and-straightedge methods, allowing for the trisection of angles and doubling of cubes. : Ben-Ari covers the Five-Color and Six-Color theorems,