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

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

By Peter McMullen,Egon Schulte

summary average polytopes stand on the finish of greater than millennia of geometrical study, which started with normal polygons and polyhedra. they're hugely symmetric combinatorial constructions with precise geometric, algebraic or topological homes; in lots of methods extra attention-grabbing than conventional normal polytopes and tessellations. The fast improvement of the topic some time past twenty years has ended in a wealthy new concept, that includes an enticing interaction of mathematical parts, together with geometry, combinatorics, team idea and topology. summary normal polytopes and their teams supply an attractive new method of realizing geometric and combinatorial symmetry. this can be the 1st entire updated account of the topic and its ramifications, and meets a serious desire for any such textual content, simply because no e-book has been released during this zone of classical and glossy discrete geometry on the grounds that Coxeter's ordinary Polytopes (1948) and normal complicated Polytopes (1974). The publication could 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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