Read e-book online Abstract Regular Polytopes (Encyclopedia of Mathematics and PDF

By Peter McMullen,Egon Schulte

summary normal polytopes stand on the finish of greater than millennia of geometrical examine, which started with standard polygons and polyhedra. they're hugely symmetric combinatorial buildings with particular geometric, algebraic or topological houses; in lots of methods extra interesting than conventional commonplace polytopes and tessellations. The fast improvement of the topic some time past two decades has led to a wealthy new conception, that includes an enticing interaction of mathematical components, together with geometry, combinatorics, team concept and topology. summary standard polytopes and their teams supply an beautiful new method of knowing geometric and combinatorial symmetry. this can be the 1st complete up to date account of the topic and its ramifications, and meets a severe desire for one of these textual content, simply because no ebook has been released during this sector of classical and glossy discrete geometry on the grounds that Coxeter's usual Polytopes (1948) and standard advanced Polytopes (1974). The publication may be of curiosity to researchers and graduate scholars in discrete geometry, combinatorics and team theory.

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Abstract Regular Polytopes (Encyclopedia of Mathematics and its Applications) by Peter McMullen,Egon Schulte

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