# Norman Johnson (mathematician)

Norman Johnson | |
---|---|

Born | November 12, 1930 |

Died | July 13, 2017 | (aged 86)

Citizenship | United States |

Alma mater | University of Toronto |

Known for | Johnson solid (1966) |

Scientific career | |

Fields | Mathematics |

Institutions | Wheaton College, Norton, Massachusetts |

Doctoral advisor | H. S. M. Coxeter |

**Norman Woodason Johnson** (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts. He earned his undergraduate mathematics degree in 1953 at Carleton College in Northfield, Minnesota.^{[1]} 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.^{[2]}^{[3]}

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).^{[4]}

## Works[edit]

*The theory of uniform polytopes and honeycombs*, Ph.D. Dissertation, 1966^{[5]}*Hyperbolic Coxeter Groups*, paper^{[6]}^{[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^{[7]}

## Notes[edit]

**^**Alumni Farewells: Deaths reported from May 3, 2017 to August 3, 2017**^**George Hart, Johnson solids (retrieved 10 June 2016)**^**Johnson solid, Mathworld, (retrieved 10 June 2016)**^**Wenninger, Magnus (1983),*Dual Models*, Cambridge University Press, doi:10.1017/CBO9780511569371, ISBN 978-0-521-54325-5, MR 0730208 p. xii**^**Johnson, Norman W; The theory of uniform polytopes and honeycombs Archived 2013-10-14 at the Wayback Machine., Ph.D. Dissertation, University of Toronto, 1966**^**The Coxeter Legacy: Reflections and Projections May 12-16, 2004 The Fields Institute Toronto, ON, Canada**^**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.

## External links[edit]

- Norman W. Johnson at the Mathematics Genealogy Project
- Norman W. Johnson Endowed Fund in Mathematics and Computer Science at Wheaton College

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