Download e-book for iPad: Abstract Regular Polytopes (Encyclopedia of Mathematics and by Peter McMullen,Egon Schulte

By Peter McMullen,Egon Schulte

summary normal polytopes stand on the finish of greater than millennia of geometrical examine, which all started with common polygons and polyhedra. they're hugely symmetric combinatorial buildings with certain geometric, algebraic or topological houses; in lots of methods extra attention-grabbing than conventional typical polytopes and tessellations. The quick improvement of the topic some time past twenty years has led to a wealthy new conception, that includes an enticing interaction of mathematical parts, together with geometry, combinatorics, crew conception and topology. summary standard polytopes and their teams offer an attractive new method of knowing geometric and combinatorial symmetry. this is often the 1st accomplished updated account of the topic and its ramifications, and meets a severe want for the sort of textual content, simply because no booklet has been released during this sector of classical and smooth discrete geometry given that Coxeter's ordinary Polytopes (1948) and average advanced Polytopes (1974). The booklet could be of curiosity to researchers and graduate scholars in discrete geometry, combinatorics and workforce theory.

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

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