Download Abstract Regular Polytopes (Encyclopedia of Mathematics and by Peter McMullen,Egon Schulte PDF

By Peter McMullen,Egon Schulte

summary commonplace polytopes stand on the finish of greater than millennia of geometrical learn, which started with typical polygons and polyhedra. they're hugely symmetric combinatorial buildings with special geometric, algebraic or topological houses; in lots of methods extra attention-grabbing than conventional common polytopes and tessellations. The swift improvement of the topic some time past two decades has led to a wealthy new idea, that includes an enticing interaction of mathematical components, together with geometry, combinatorics, crew conception and topology. summary commonplace polytopes and their teams supply an attractive new method of realizing geometric and combinatorial symmetry. this is often the 1st complete up to date account of the topic and its ramifications, and meets a severe desire for the sort of textual content, simply because no publication has been released during this sector of classical and sleek discrete geometry when you consider that Coxeter's normal Polytopes (1948) and commonplace advanced Polytopes (1974). The e-book will be of curiosity to researchers and graduate scholars in discrete geometry, combinatorics and team theory.

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