Norman Johnson (mathematician)

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This article is about the pure mathematician Norman Johnson. For the statistician, see Norman Lloyd Johnson.
Norman Johnson
Norman Johnson (mathematician).jpg
Born (1930-11-12) November 12, 1930 (age 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 (born November 12, 1930) is a mathematician, previously at Wheaton College, Norton, Massachusetts. 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.[1][2]


  • The theory of uniform polytopes and honeycombs, Ph.D. Dissertation, 1966[3]
  • Hyperbolic Coxeter Groups, paper.[4][citation needed]
  • Convex polyhedra with regular faces, paper containing the original enumeration of the 92 Johnson solids and the conjecture that there are no others.[5]


  1. ^ George Hart, Johnson solids (retrieved 10 June 2016)
  2. ^ Johnson solid, Mathworld, (retrieved 10 June 2016)
  3. ^ Johnson, Norman W; The theory of uniform polytopes and honeycombs, Ph.D. Dissertation, University of Toronto, 1966.
  4. ^ The Coxeter Legacy: Reflections and Projections May 12-16, 2004 The Fields Institute Toronto, ON, Canada
  5. ^ Johnson, Norman W. (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. Zbl 0132.14603. 

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