The age of Pump and Dump software
Summary
The article discusses the Bonnet problem in differential geometry, showing that local geometric data (metric and mean curvature) can define a surface in more than one global way, even for compact toroidal shapes. It chronicles the collaboration of Bobenko, Hoffmann, and Sageman-Furnas, the use of discrete surfaces and computational searches, and the discovery of a pair of compact Bonnet torii with identical local data but different global structures, resolved through a blend of classical and computational methods.