Norman Johnson (mathematician)
| Norman Johnson | |
|---|---|
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| Born | November 12, 1930 |
| Died | July 13, 2017 (aged 86) |
| Citizenship | United States |
| Fields | Mathematics |
| Institutions | Wheaton College, Norton, Massachusetts |
| Alma mater | University of Toronto |
| Doctoral advisor | H. S. M. Coxeter |
| Known for | Johnson solid (1966) |
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts. He earned his undergraduate mathematics degree in 1953 at Carlton College in Northfield, Minnesota.[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.
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.[2][3]
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).[4]
Works
- The theory of uniform polytopes and honeycombs, Ph.D. Dissertation, 1966[5]
- Hyperbolic Coxeter Groups, paper.[6]
- Convex polyhedra with regular faces, paper containing the original enumeration of the 92 Johnson solids and the conjecture that there are no others.[7]
Notes
- ↑ https://apps.carleton.edu/alumni/farewells/
- ↑ George Hart, Johnson solids (retrieved 10 June 2016)
- ↑ Johnson solid, Mathworld, (retrieved 10 June 2016)
- ↑ Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 730208 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. ISSN 0008-414X. MR 0185507. Zbl 0132.14603. doi:10.4153/cjm-1966-021-8.
External links
- Norman W. Johnson at the Mathematics Genealogy Project
- Norman W. Johnson Endowed Fund in Mathematics and Computer Science at Wheaton College