Strange Phenomena in Convex and Discrete Geometry
Strange Phenomena in Convex and Discrete Geometry By Chuanming Zong (auth.), James J. Dudziak (eds.)
1996 | 158 Pages | ISBN: 0387947345 | PDF | 4 MB
1996 | 158 Pages | ISBN: 0387947345 | PDF | 4 MB
Convex and discrete geometry is one of the most intuitive subjects in mathematics. One can explain many of its problems, even the most difficult - such as the sphere-packing problem (what is the densest possible arrangement of spheres in an n-dimensional space?) and the Borsuk problem (is it possible to partition any bounded set in an n-dimensional space into n+1 subsets, each of which is strictly smaller in "extent" than the full set?) - in terms that a layman can understand; and one can reasonably make conjectures about their solutions with little training in mathematics.
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