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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aAbstract regular polytopes /$fPeter McMullen, Egon Schulte$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2002.
215   $a1 online resource (xiii, 551 pages) $cdigital, PDF file(s)
225 1 $aEncyclopedia of mathematics and its applications ;$vvolume 92
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a0-521-81496-0 
320   $aIncludes bibliographical references (p. 519-538) and indexes.
327   $g1.$tClassical Regular Polytopes --$g2.$tRegular Polytopes --$g3.$tCoxeter Groups --$g4.$tAmalgamation --$g5.$tRealizations --$g6.$tRegular Polytopes on Space-Forms --$g7.$tMixing --$g8.$tTwisting --$g9.$tUnitary Groups and Hermitian Forms --$g10.$tLocally Toroidal 4-Polytopes: I --$g11.$tLocally Toroidal 4-Polytopes: II --$g12.$tHigher Toroidal Polytopes --$g13.$tRegular Polytopes Related to Linear Groups --$g14.$tMiscellaneous Classes of Regular Polytopes.
330   $aAbstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and polyhedra. They are highly symmetric combinatorial structures with distinctive geometric, algebraic or topological properties; in many ways more fascinating than traditional regular polytopes and tessellations. The rapid development of the subject in the past 20 years has resulted in a rich new theory, featuring an attractive interplay of mathematical areas, including geometry, combinatorics, group theory and topology. Abstract regular polytopes and their groups provide an appealing new approach to understanding geometric and combinatorial symmetry. This is the first comprehensive up-to-date account of the subject and its ramifications, and meets a critical need for such a text, because no book has been published in this area of classical and modern discrete geometry since Coxeter's Regular Polytopes (1948) and Regular Complex Polytopes (1974). The book should be of interest to researchers and graduate students in discrete geometry, combinatorics and group theory.
410  0$aEncyclopedia of mathematics and its applications ;$vv. 92.
606   $aPolytopes
615  0$aPolytopes.
676   $a516.3/5
700   $aMcMullen$b Peter$f1942-$055802
702   $aSchulte$b Egon$f1955-
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910450540303321
996   $aAbstract regular polytopes$92489410
997   $aUNINA