Strange phenomena in convex and discrete geometry /

This book presents some of the most famous problems of convex and discrete geometry - such as Borsuk's problem (is it possible to partition any bounded set in an n-dimensional Euclidean space into n+1 subsets, each of which is strictly smaller in diameter than the full set?) and the finite sphere-pa...

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Bibliographic Details

Main Author:	Zong, Chuanming
Other Authors:	Dudziak, James Joseph, 1955-
Format:	Book
Language:	English
Published:	New York : Springer, 1996.
Series:	Universitext.
Subjects:	Convex geometry. Discrete geometry. Convex geometry Discrete geometry
Summary:	This book presents some of the most famous problems of convex and discrete geometry - such as Borsuk's problem (is it possible to partition any bounded set in an n-dimensional Euclidean space into n+1 subsets, each of which is strictly smaller in diameter than the full set?) and the finite sphere-packing problem (how can one arrange m nonoverlapping congruent spheres in an n-dimensional Euclidean space to minimize the volume or surface area of their convex hull?) - as well as their (at times astonishing) answers. Though covering some of the most recent developments in the field, the book is self-contained, and can be understood by any trained mathematician.