King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry"There is perhaps no better way to prepare for the scientific breakthroughs of tomorrow than to learn the language of geometry." Brian Greene, author of The Elegant Universe The word "geometry" brings to mind an array of mathematical images: circles, triangles, the Pythagorean Theorem. Yet geometry is so much more than shapes and numbers; indeed, it governs much of our livesfrom architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century. Many of the greatest names in intellectual historyPythagoras, Plato, Archimedes, Euclid were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, everevolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributionshis famed Coxeter groups and Coxeter diagramshave been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost singlehandedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational. Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry. 
What people are saying  Write a review
User ratings
5 stars 
 
4 stars 
 
3 stars 
 
2 stars 
 
1 star 

Review: King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry
User Review  Justin  GoodreadsBest biography of a geometer you will ever read. Read full review
Review: King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry
User Review  Tom Adams  GoodreadsThis book tells the story of an important but largely unknown mathematician. Roberts is a fine writer, and I enjoyed reading her stories about Coxeter: his history, his work, the people he influenced ... Read full review
Contents
PART IICoxeter Applied 171  9 
HAPTER 1  17 
HAFTER 2  39 
Bucky Fuller and Bridging the Geometry Gap 173  53 
CHAPTER 3  59 
CHAPTE R 4  97 
CHAPTE R 5  105 
CHAPTE R 6  117 
Immunoglobulin Zeolites and CoxeterMath Toronto Edu  197 
HAFTER 1  215 
CHAPTER 7  308 
The Coxeterian Shapes of the Cosmos 2 3  323 
370  
385  
Common terms and phrases
accessed January algebraic angles beautiful Bolyai Bourbaki Budapest Cambridge classical geometry conference Conway Coxeter diagrams Coxeter diaries Coxeter Fonds Coxeter groups Coxeter noted Coxeter's cube Dieudonné dimensional discovery dodecahedron Donald Coxeter email Einstein emeritus Erdös eter Euclid Euclidean geometry father finite fourth dimension Fuller geome Gray H. S. M. Coxeter Harold Hofstadter hyperbolic Ibid icosahedron infinite interviews Introduction to Geometry intuition John kaleidoscopes later lecture letter lines M. C. Escher Math mathematicians mathematics mirrors nonEuclidean geometry O’Connor Odom paper pattern physicists physics plane Platonic solids polygons polyhedra Princeton problem Proc professor of mathematics projective geometry proof published reflections Regular Polytopes Rien Schattschneider scientists Senechal shapes space sphere square string theory tetrahedron theorem things tiling tion Toronto Archives triangles Trinity University of Toronto vertex vertices visual Weyl Whiteley wrote York