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 learn, which started with commonplace polygons and polyhedra. they're hugely symmetric combinatorial buildings with exact geometric, algebraic or topological houses; in lots of methods extra attention-grabbing than conventional usual polytopes and tessellations. The quick improvement of the topic some time past two decades has ended in a wealthy new concept, that includes an enticing interaction of mathematical parts, together with geometry, combinatorics, team thought and topology. summary ordinary polytopes and their teams offer an beautiful new method of figuring out geometric and combinatorial symmetry. this is often the 1st finished up to date account of the topic and its ramifications, and meets a serious desire for the sort of textual content, simply because no publication has been released during this region of classical and glossy discrete geometry considering the fact that Coxeter's usual Polytopes (1948) and average complicated Polytopes (1974). The booklet may be of curiosity to researchers and graduate scholars in discrete geometry, combinatorics and workforce theory.

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