Norman Johnson (mathematician)


Norman Woodason Johnson was a mathematician at Wheaton College, Norton, Massachusetts.

Early life and education

Norman Johnson was born on November 12, 1930 in Chicago. His father had a bookstore and published a local newspaper.
Johnson earned his undergraduate mathematics degree in 1953 at Carleton College in Northfield, Minnesota followed by a master's degree from the University of Pittsburgh. After graduating in 1953, Johnson did alternative civilian service as a conscientious objector. He earned his Ph.D. from the University of Toronto in 1966 with a dissertation title of The Theory of Uniform Polytopes and Honeycombs under the supervision of H. S. M. Coxeter. From there he accepted a position in the Mathematics Department of Wheaton College in Massachusetts and taught until his retirement in 1998.

Career

In 1966 he enumerated 92 convex non-uniform polyhedra with regular faces. Victor Zalgaller later proved that Johnson's list was complete, and the set is now known as the Johnson solids.
Johnson is also credited with naming all the uniform star polyhedra and their duals, as published in Magnus Wenninger's model building books: Polyhedron models and Dual models.

Death and final works

He completed final edits for his book Geometries and Transformations just before his death on July 13, 2017, and nearly completed his manuscript on uniform polytopes.

Works