Hugo Hadwiger

Hugo Hadwiger (23 December 1908 in Karlsruhe, Germany – 29 October 1981 in Bern, Switzerland)[1] was a Swiss mathematician, known for his work in geometry, combinatorics, and cryptography.

[4] Hadwiger's theorem in integral geometry classifies the isometry-invariant valuations on compact convex sets in d-dimensional Euclidean space.

[15] And his 1957 book Vorlesungen über Inhalt, Oberfläche und Isoperimetrie was foundational for the theory of Minkowski functionals, used in mathematical morphology.

[citation needed] Hadwiger was one of the principal developers of a Swiss rotor machine for encrypting military communications, known as NEMA.

The Swiss, fearing that the Germans and Allies could read messages transmitted on their Enigma cipher machines, enhanced the system by using ten rotors instead of five.