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Read e-book online Abstract Regular Polytopes (Encyclopedia of Mathematics and PDF

By Peter McMullen,Egon Schulte

summary commonplace polytopes stand on the finish of greater than millennia of geometrical study, which begun with normal polygons and polyhedra. they're hugely symmetric combinatorial constructions with precise geometric, algebraic or topological houses; in lots of methods extra interesting than conventional typical polytopes and tessellations. The quick improvement of the topic some time past two decades has ended in a wealthy new idea, that includes an enticing interaction of mathematical components, together with geometry, combinatorics, staff thought and topology. summary general polytopes and their teams supply an beautiful new method of figuring out geometric and combinatorial symmetry. this can be the 1st entire updated account of the topic and its ramifications, and meets a severe want for one of these textual content, simply because no booklet has been released during this quarter of classical and glossy discrete geometry because Coxeter's common Polytopes (1948) and general advanced Polytopes (1974). The ebook can 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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