American mathematician (1930–2017)
This article is about the pure mathematician Norman Johnson. For the statistician, see
Norman Lloyd Johnson .
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] University of Pittsburgh .[ 1] alternative civilian service as a conscientious objector .[ 1] 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.[ 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" . Canadian Mathematical Bulletin 3 (2): 133–142. doi :10.4153/CMB-1960-016-7 S2CID 124822323 . Grünbaum, Branko ; ———— (January 1965). "The Faces of a Regular-Faced Polyhedron". Journal of the London Mathematical Society . s1-40 (1): 577–586. doi :10.1112/jlms/s1-40.1.577 .———— (January 1966). "Convex polyhedra with regular faces" . Canadian Journal of Mathematics 18 : 169–200. doi :10.4153/cjm-1966-021-8 ISSN 0008-414X . MR 0185507 . S2CID 122006114 . Zbl 0132.14603 . ———— (1966). The theory of uniform polytopes and honeycombs University of Toronto . OL 14849556M . Archived from the original on 2022-05-20. Retrieved 2022-05-20 . ONLINE ———— (December 1969). "Euclidean Geometry and Convexity by Russell V. Benson (review)". The American Mathematical Monthly 76 (10): 1165–1160. doi :10.2307/2317227 . JSTOR 2317227 . ———— (January 1981). "Absolute Polarities and Central Inversions". In Davis, C.; Grünbaum, B. ; Sherk, F. A. (eds.). The Geometric Vein . New York City : Springer Nature . pp. 443–464. doi :10.1007/978-1-4612-5648-9_28 . ISBN 978-1-4612-5648-9 ————; Weiss, Asia Ivić (July 1999). "Quaternionic modular groups" . Linear Algebra and Its Applications 295 (1): 159–189. doi :10.1016/S0024-3795(99)00107-X ————; Weiss, Asia Ivić (December 1999). "Quadratic Integers and Coxeter Groups" . Canadian Journal of Mathematics 51 (6): 1307–1336. doi :10.4153/CJM-1999-060-6 S2CID 111383205 . ————; Kellerhals, Ruth ; Ratcliffe, John G.; Tschantz, Steven T. (December 1999). "The size of a hyperbolic Coxeter simplex". Transformation Groups . 4 (4): 329–353. doi :10.1007/BF01238563 . S2CID 123105209 . ————; Kellerhals, Ruth ; Ratcliffe, John G.; Tschantz, Steven T. (2002-04-15). "Commensurability classes of hyperbolic Coxeter groups" . Linear Algebra and Its Applications 345 (1–3): 119–147. doi :10.1016/S0024-3795(01)00477-3 ———— (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 ISBN 978-1-107-10340-5 OCLC 1043026091 . OL 27839953M . Retrieved 2022-05-20 .
References
External links
International National Academics Other
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