Norman Johnson (mathematician)

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Norman Johnson

Born November 12, 1930(1930-11-12)
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)
This article is about the pure mathematician Norman Johnson. For the statistician, see Norman Lloyd Johnson.

Norman W. Johnson 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 his 1966 doctoral thesis Johnson discovered a small regiment of three uniform antiprism-like star-polychora named the Johnson antiprisms.

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.

More recently, Johnson has participated in the Uniform Polychora Project, an effort to find and name higher-dimensional polytopes.

[edit] Works

  • Hyperbolic Coxeter Groups [1]
  • Mostly Finite Geometries ISBN 0-8247-0035-X
  • Convex Solids with Regular Faces (or Convex polyhedra with regular faces), Canadian Journal of Mathematics, 18, 1966, pages 169–200. (Contains the original enumeration of the 92 Johnson solids and the conjecture that there are no others.)
  • The Theory of Uniform Polytopes and Honeycombs, Ph.D. Dissertation, University of Toronto, 1966

[edit] External links

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