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

By Peter McMullen,Egon Schulte

ISBN-10: 0521814960

ISBN-13: 9780521814966

summary normal polytopes stand on the finish of greater than millennia of geometrical examine, which started with ordinary polygons and polyhedra. they're hugely symmetric combinatorial buildings with special geometric, algebraic or topological houses; in lots of methods extra interesting than conventional usual polytopes and tessellations. The fast improvement of the topic some time past two decades has led to a wealthy new idea, that includes an enticing interaction of mathematical parts, together with geometry, combinatorics, team thought and topology. summary average polytopes and their teams offer an attractive new method of knowing geometric and combinatorial symmetry. this is often the 1st complete updated account of the topic and its ramifications, and meets a serious want for this type of textual content, simply because no ebook has been released during this region of classical and smooth discrete geometry when you consider that Coxeter's usual Polytopes (1948) and average complicated Polytopes (1974). The booklet will 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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