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 lives-- from 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 history-- Pythagoras, Plato, Archimedes, Euclid-- were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions-- his famed Coxeter groups and Coxeter diagrams-- have been called by other mathematicians " tools as essential as numbers themselves, " but his greatest achievement was to almost single-handedly 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 muchto Coxeter's vision. "The King of Infinite Space "is an elegant portal into the fascinating, arcane world of geometry.
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The book spends a lot of time on people with connections to Coxeter. At times, these connections can be slight. As a result of this, the actual developments in Coxeter's life appear to take on a ... Read full review
Only one bit of criticism: There are not enough pictures! I say this for three reasons. Fisrt, I found myself thinking at several points in the book that an illustration would have been very helpful. Second, even when a diagram is included, the author tended to provide lengthy descriptions of the diagram. For example, there is a detailed description of a comic, and the comic is printed on the same page. Finally, the author repeatedly writes about Coxeter's love of diagrams and how he included several of them in his articles and books. I feel she completely missed Coxeter's spirit on this point. Other than that, I loved the book. It is meticulously researched and footnoted. The footnoting is very impressive actually.
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