Geometry Topology

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

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By Peter McMullen,Egon Schulte

summary normal polytopes stand on the finish of greater than millennia of geometrical examine, which all started with standard polygons and polyhedra. they're hugely symmetric combinatorial constructions with particular geometric, algebraic or topological houses; in lots of methods extra interesting than conventional standard polytopes and tessellations. The fast improvement of the topic long ago twenty years has led to a wealthy new conception, that includes an enticing interaction of mathematical parts, together with geometry, combinatorics, staff idea and topology. summary ordinary polytopes and their teams offer an beautiful new method of figuring out geometric and combinatorial symmetry. this is often the 1st complete up to date account of the topic and its ramifications, and meets a serious want for this sort of textual content, simply because no e-book has been released during this quarter of classical and glossy discrete geometry on the grounds that Coxeter's usual Polytopes (1948) and usual complicated Polytopes (1974). The e-book will be of curiosity to researchers and graduate scholars in discrete geometry, combinatorics and staff theory.

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

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