Norman Johnson (mathematician) explained
Norman Woodason Johnson was a mathematician at Wheaton College, Norton, Massachusetts.
Early life and education
Norman Johnson was born on 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 PhD 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 (1969) 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 (1971) and Dual models (1983).
Death and final works
He completed final edits for his book Geometries and Transformations just before his death on, and nearly completed his manuscript on uniform polytopes.
Works
- Johnson . Norman W. . 4 . 1960-05-01 . A Geometric Model for the Generalized Symmetric Group . . 3 . 2 . 133–142 . 10.4153/CMB-1960-016-7. 124822323 . free .
- Grünbaum . Branko . Branko Grünbaum . Johnson . Norman W. . January 1965 . The Faces of a Regular-Faced Polyhedron . . s1-40 . 1 . 577–586 . 10.1112/jlms/s1-40.1.577 . 4.
- Johnson . Norman W. . 4 . January 1966 . Convex polyhedra with regular faces . . 18 . 169–200 . 10.4153/cjm-1966-021-8 . 0008-414X . 0185507 . 0132.14603 . 122006114. free .
- Johnson . Norman W . The theory of uniform polytopes and honeycombs . 1966 . PhD . . 4 . https://archive.today/20220520024719/https://www.tib.eu/en/search/id/TIBKAT:22693604X/ . 2022-05-20 . 2022-05-20 . 14849556M.
- Johnson . Norman W. . 4 . December 1969 . Euclidean Geometry and Convexity by Russell V. Benson (review) . . 76 . 10 . 1165–1160 . 10.2307/2317227 . 2317227.
- Johnson . Norman W. . 4 . January 1981 . Absolute Polarities and Central Inversions . . . 443–464 . 10.1007/978-1-4612-5648-9_28 . 978-1-4612-5648-9 . The Geometric Vein . Davis . C. . Grünbaum . B. . Branko Grünbaum . Sherk . F. A..
- Johnson . Norman W. . Weiss . Asia Ivić . 4 . July 1999 . Quaternionic modular groups . . 295 . 1 . 159–189 . 10.1016/S0024-3795(99)00107-X. free .
- Johnson . Norman W. . Weiss . Asia Ivić . 4 . December 1999 . Quadratic Integers and Coxeter Groups . . 51 . 6 . 1307–1336 . 10.4153/CJM-1999-060-6. 111383205 . free .
- Johnson . Norman W. . Kellerhals . Ruth . Ruth Kellerhals . Ratcliffe . John G. . Tschantz . Steven T. . 4 . December 1999 . The size of a hyperbolic Coxeter simplex . Transformation Groups . 4 . 4 . 329–353 . 10.1007/BF01238563. 123105209 .
- Johnson . Norman W. . Kellerhals . Ruth . Ruth Kellerhals . Ratcliffe . John G. . Tschantz . Steven T. . 4 . 2002-04-15 . Commensurability classes of hyperbolic Coxeter groups . . 345 . 1–3 . 119–147 . 10.1016/S0024-3795(01)00477-3. free .
- Johnson . Norman W. . 4 . 2012 . Regular Inversive Polytopes . ITHEA . https://archive.today/20220520033305/https://www.researchgate.net/publication/279194347_Regular_Inversive_Polytopes . 2022-05-20 . 2022-05-19 . Mathematics of Distances and Applications . Deza . Michel . Petitjean . Michel . Markov . Krassimir . . live.
- Book: Johnson, Norman W. . [{{GBurl|id=adBVDwAAQBAJ}} Geometries and Transformations ]. 2018-06-07 . 978-1-107-10340-5 . 1043026091 . 27839953M . 4 . 2022-05-20.
External links