 Norman Johnson (mathematician)

This article is about the pure mathematician Norman Johnson. For the statistician, see Norman Lloyd Johnson.
Norman Johnson
Born November 12, 1930 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 W. 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 his 1966 doctoral thesis Johnson discovered three uniform antiprismlike star polytopes named the Johnson antiprisms. Their bases are the three ditrigonal polyhedra  the small ditrigonal icosidodecahedron, ditrigonal dodecadodecahedron and the great ditrigonal icosidodecahedron.
In 1966 he enumerated 92 convex nonuniform 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 higherdimensional polytopes.
Works
 Hyperbolic Coxeter Groups ^{[1]}
 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
Notes
External links
 Norman W. Johnson at the Mathematics Genealogy Project.
 Norman W. Johnson Endowed Fund in Mathematics and Computer Science at Wheaton College
Categories: 20thcentury mathematicians
 Living people
 University of Toronto alumni
 1930 births
 American mathematician stubs
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