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

By Peter McMullen,Egon Schulte

ISBN-10: 0521814960

ISBN-13: 9780521814966

summary general polytopes stand on the finish of greater than millennia of geometrical study, which begun with common polygons and polyhedra. they're hugely symmetric combinatorial buildings with targeted geometric, algebraic or topological houses; in lots of methods extra attention-grabbing than conventional standard polytopes and tessellations. The fast improvement of the topic some time past two decades has led to a wealthy new thought, that includes an enticing interaction of mathematical components, together with geometry, combinatorics, team thought and topology. summary typical polytopes and their teams supply an beautiful new method of realizing geometric and combinatorial symmetry. this is often the 1st entire updated account of the topic and its ramifications, and meets a serious desire for the sort of textual content, simply because no booklet has been released during this sector of classical and smooth discrete geometry because Coxeter's common Polytopes (1948) and commonplace complicated Polytopes (1974). The booklet 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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