Biography:Norman Johnson (mathematician)
Norman Johnson | |
|---|---|
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| Died | July 13, 2017 (aged 86) |
| Citizenship | United States |
| Alma mater | University of Toronto |
| Known for | Johnson solid (1966) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Wheaton College, Norton, Massachusetts |
| Doctoral advisor | H. S. M. Coxeter |
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician at Wheaton College, Norton, Massachusetts.[1]
Early life and education
Norman Johnson was born on November 12, 1930 in Chicago . His father had a bookstore and published a local newspaper.[1]
Johnson earned his undergraduate mathematics degree in 1953 at Carleton College in Northfield, Minnesota[2] followed by a master's degree from the University of Pittsburgh.[1] After graduating in 1953, Johnson did alternative civilian service as a conscientious objector.[1] 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.[1]
Career
In 1966 he enumerated 92 convex non-uniform polyhedra with regular faces. Victor Zalgaller later proved (1969) that Johnson's list was complete, and the set is now known as the Johnson solids.[3][4]
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 (1971) and Dual models (1983).[5]
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.[1]
Works
- The theory of uniform polytopes and honeycombs, Ph.D. Dissertation, 1966[6]
- Hyperbolic Coxeter Groups, paper[7][citation needed]
- Convex polyhedra with regular faces, paper containing the original enumeration of the 92 Johnson solids and the conjecture that there are no others[8]
- N. W. Johnson: Geometries and Transformations, (2018) ISBN:978-1-107-10340-5 [1]
Notes
- ↑ 1.0 1.1 1.2 1.3 1.4 1.5 Norman W. Johnson (12 November 1930 to 13 July 2017), Asia Ivic Weiss and Eva Marie Stehle, The Art of Discrete and Applied Mathematics
- ↑ Alumni Farewells: Deaths reported from May 3, 2017 to August 3, 2017
- ↑ George Hart, Johnson solids (retrieved 10 June 2016)
- ↑ Johnson solid, Mathworld, (retrieved 10 June 2016)
- ↑ Wenninger, Magnus (1983), Dual Models, Cambridge University Press, doi:10.1017/CBO9780511569371, ISBN 978-0-521-54325-5 p. xii
- ↑ Johnson, Norman W; The theory of uniform polytopes and honeycombs , Ph.D. Dissertation, University of Toronto, 1966
- ↑ The Coxeter Legacy: Reflections and Projections May 12-16, 2004 The Fields Institute Toronto, ON, Canada
- ↑ Johnson, Norman W. (1966). "Convex polyhedra with regular faces". Canadian Journal of Mathematics 18: 169–200. doi:10.4153/cjm-1966-021-8. ISSN 0008-414X.
External links
- Norman W. Johnson at the Mathematics Genealogy Project
- Norman W. Johnson Endowed Fund in Mathematics and Computer Science at Wheaton College
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