Norman Johnson (mathematician)
Norman Johnson | |
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H. S. M. Coxeter |
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a
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
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
- ———— (1960-05-01). "A Geometric Model for the Generalized Symmetric Group". S2CID 124822323.
- .
- ———— (January 1966). "Convex polyhedra with regular faces". Zbl 0132.14603.
- ———— (1966). The theory of uniform polytopes and honeycombs (PhD thesis). OL 14849556M. Archived from the originalon 2022-05-20. Retrieved 2022-05-20.
- ———— (December 1969). "Euclidean Geometry and Convexity by Russell V. Benson (review)". JSTOR 2317227.
- ———— (January 1981). "Absolute Polarities and Central Inversions". In Davis, C.; ISBN 978-1-4612-5648-9.
- ————; Weiss, Asia Ivić (July 1999). "Quaternionic modular groups". .
- ————; Weiss, Asia Ivić (December 1999). "Quadratic Integers and Coxeter Groups". S2CID 111383205.
- ————; S2CID 123105209.
- ————; .
- ———— (2012). "Regular Inversive Polytopes". In Deza, Michel; Petitjean, Michel; Markov, Krassimir (eds.). Mathematics of Distances and Applications. Sofia: ITHEA. Archived from the original on 2022-05-20. Retrieved 2022-05-19.
- ———— (2018-06-07). Geometries and Transformations. OL 27839953M. Retrieved 2022-05-20.
References
- ^ from the original on 2022-05-19. Retrieved 2022-05-19.
- ^ "Norman Johnson '53". Carleton College. 2017-07-18. Archived from the original on 2022-05-19. Retrieved 2022-05-19.
- ^ Hart, George W. "Johnson solids". George W. Hart. Archived from the original on 2021-08-30. Retrieved 2016-06-10.
- ^ Weisstein, Eric W. "Johnson Solid". MathWorld. Retrieved 2016-06-10.
- MR 0730208.
External links
- Norman W. Johnson at the Mathematics Genealogy Project
- Norman W. Johnson Endowed Fund in Mathematics and Computer Science at Wheaton College