Career
He was the younger brother of H. Christopher Longuet-Higgins. Longuet-Higgins introduced the theory of the origin of microseisms and is the inventor of Rhombo blocks. Longuet-Higgins studied at Winchester College with Freeman Dyson from 1937 to 1941.
He graduated in mathematics from the University of Cambridge in 1946, with a Doctor of Philosophy in geophysics in 1951.
From 1969 to 1989 he served as a Royal Society Research Professor at the University of Cambridge. His research areas include both pure mathematics (projective geometry, polytopes, random functions and surfaces) and applied mathematics (fluid dynamics, microseisms, the generation of ocean waves by wind, the dynamics of bubbles, sonoluminescence, wave breaking, and steep waves).
His recreations include music, gardening, and educational toys: in 1953 he wrote a scientific paper on the properties of the Slinky. He is widowed, with four children.