By Peter McMullen,Egon Schulte

summary usual polytopes stand on the finish of greater than millennia of geometrical examine, which begun with common polygons and polyhedra. they're hugely symmetric combinatorial buildings with distinct geometric, algebraic or topological houses; in lots of methods extra interesting than conventional standard polytopes and tessellations. The swift improvement of the topic long ago twenty years has led to a wealthy new concept, that includes an enticing interaction of mathematical parts, together with geometry, combinatorics, workforce concept and topology. summary usual polytopes and their teams supply an beautiful new method of figuring out geometric and combinatorial symmetry. this is often the 1st entire up to date 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 region of classical and glossy discrete geometry on the grounds that Coxeter's usual Polytopes (1948) and normal advanced Polytopes (1974). The publication may 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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