Euclid, Fermat, and the 65537 Reasons We Have Never Drawn Their Last Shape

1. Straight Edge and Compass Euclidean Constructions From the time of ancient Greece, geometers have been fascinated by what can be built using only two tools: a compass and a straightedge. These "Euclidean constructions" formed the foundation of classical geometry. You can copy a line segment, bisect an angle, draw perpendiculars Euclid's Elements are full of constructions and theorems that are…