Abstract Regular Polytopes (Encyclopedia of Mathematics and - download pdf or read online

By Peter McMullen,Egon Schulte

ISBN-10: 0521814960

ISBN-13: 9780521814966

summary typical polytopes stand on the finish of greater than millennia of geometrical learn, which begun with average polygons and polyhedra. they're hugely symmetric combinatorial constructions with certain geometric, algebraic or topological houses; in lots of methods extra interesting than conventional general polytopes and tessellations. The quick improvement of the topic long ago two decades has ended in a wealthy new thought, that includes an enticing interaction of mathematical components, together with geometry, combinatorics, workforce idea and topology. summary common polytopes and their teams offer an beautiful new method of knowing geometric and combinatorial symmetry. this can be the 1st finished up to date account of the topic and its ramifications, and meets a serious desire for this sort of textual content, simply because no e-book has been released during this quarter of classical and sleek discrete geometry considering Coxeter's standard Polytopes (1948) and average advanced Polytopes (1974). The ebook can 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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