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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. 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.〔() CONVEX AND ABSTRACT POLYTOPES Workshop (2005), N.Johnson — Uniform Polychora abstract〕 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 Although a few paper copies were circulated in the 1990s, the manuscript is still unpublished (as of 2015) and copies of it are hard to find. == Works == *''Hyperbolic Coxeter Groups'' 〔(The Coxeter Legacy: Reflections and Projections May 12-16, 2004 The Fields Institute Toronto, ON, Canada )〕 * 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〔https://getinfo.de/app/The-theory-of-uniform-polytopes-and-honeycombs/id/TIBKAT%3A22693604X〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Norman Johnson (mathematician)」の詳細全文を読む スポンサード リンク
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