Norman Johnson (mathematician)
|Born||November 12, 1930|
|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 antiprism-like star polytopes named the Johnson antiprisms. Their bases are the three ditrigonal polyhedra – the small ditrigonal icosidodecahedron, ditrigonal dodecadodecahedron and the great ditrigonal icosidodecahedron.
The literature on polytopes contains several references to a manuscript by Johnson titled Uniform Polytopes. Although a few paper copies were circulated in the 1990s, the manuscript is still unpublished (as of 2015) and copies of it are hard to find.
- Hyperbolic Coxeter Groups 
- 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. Contains the original enumeration of the 92 solids and the conjecture that there are no others.
- The Theory of Uniform Polytopes and Honeycombs, Ph.D. Dissertation, University of Toronto, 1966
-  CONVEX AND ABSTRACT POLYTOPES Workshop (2005), N.Johnson — Uniform Polychora abstract
- The Coxeter Legacy: Reflections and Projections May 12-16, 2004 The Fields Institute Toronto, ON, Canada
- Norman W. Johnson at the Mathematics Genealogy Project
- Norman W. Johnson Endowed Fund in Mathematics and Computer Science at Wheaton College
- Information about the publication of Norman Johnson's manuscript "Uniform polytopes" (still unpublished in 2015).
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