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Norman Johnson (mathematician)

August 31, 2023

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]

Norman Johnson
Born(1930-11-12)November 12, 1930
Chicago
DiedJuly 13, 2017(2017-07-13) (aged 86)
CitizenshipUnited States
Alma materUniversity of Toronto
Known forJohnson solid (1966)
Scientific career
FieldsMathematics
InstitutionsWheaton College, Norton, Massachusetts
Doctoral advisorH. S. M. Coxeter

Early life and education Edit

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 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 Edit

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 Edit

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 Edit

  • ———— (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 (PhD thesis). University of Toronto. OL 14849556M. Archived from the original on 2022-05-20. Retrieved 2022-05-20.
  • ———— (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 Edit

  1. ^ a b c d e f Weiss, Asia Ivić; Stehle, Eva Marie (2017). "Norman W. Johnson (12 November 1930 to 13 July 2017)". The Art of Discrete and Applied Mathematics. 1: #N1.01. doi:10.26493/2590-9770.1231.403. ISSN 2590-9770. Archived from the original on 2022-05-19. Retrieved 2022-05-19.
  2. ^ "Norman Johnson '53". Carleton College. 2017-07-18. Archived from the original on 2022-05-19. Retrieved 2022-05-19.
  3. ^ Hart, George W. "Johnson solids". George W. Hart. Archived from the original on 2021-08-30. Retrieved 2016-06-10.
  4. ^ Weisstein, Eric W. "Johnson Solid". MathWorld. Retrieved 2016-06-10.
  5. ^ Wenninger, Magnus (1983). Dual Models. Cambridge University Press. p. xii. doi:10.1017/CBO9780511569371. ISBN 978-0-521-54325-5. MR 0730208.

External links Edit

    

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August 31, 2023
norman, johnson, mathematician, this, article, about, pure, mathematician, norman, johnson, statistician, norman, lloyd, johnson, norman, woodason, johnson, november, 1930, july, 2017, mathematician, wheaton, college, norton, massachusetts, norman, johnsonborn. 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 Norman JohnsonBorn 1930 11 12 November 12 1930ChicagoDiedJuly 13 2017 2017 07 13 aged 86 CitizenshipUnited StatesAlma materUniversity of TorontoKnown forJohnson solid 1966 Scientific careerFieldsMathematicsInstitutionsWheaton College Norton MassachusettsDoctoral advisorH S M Coxeter Contents 1 Early life and education 2 Career 3 Death and final works 4 Works 5 References 6 External linksEarly life and education EditNorman 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 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 EditIn 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 EditHe 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 Edit 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 Grunbaum 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 PhD thesis University of Toronto OL 14849556M Archived from the original on 2022 05 20 Retrieved 2022 05 20 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 Grunbaum 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 Ivic July 1999 Quaternionic modular groups Linear Algebra and Its Applications 295 1 159 189 doi 10 1016 S0024 3795 99 00107 X Weiss Asia Ivic 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 Edit a b c d e f Weiss Asia Ivic Stehle Eva Marie 2017 Norman W Johnson 12 November 1930 to 13 July 2017 The Art of Discrete and Applied Mathematics 1 N1 01 doi 10 26493 2590 9770 1231 403 ISSN 2590 9770 Archived 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 Wenninger Magnus 1983 Dual Models Cambridge University Press p xii doi 10 1017 CBO9780511569371 ISBN 978 0 521 54325 5 MR 0730208 External links EditNorman W Johnson at the Mathematics Genealogy Project Norman W Johnson Endowed Fund in Mathematics and Computer Science at Wheaton College nbsp nbsp nbsp This article about an American mathematician is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Norman Johnson mathematician amp oldid 1169995972, 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