000843470 000__ 04549cam\a2200553Mi\4500 000843470 001__ 843470 000843470 005__ 20230306144726.0 000843470 006__ m\\\\\o\\d\\\\\\\\ 000843470 007__ cr\nn\nnnunnun 000843470 008__ 180611s2018\\\\sz\\\\\\o\\\\\010\0\eng\d 000843470 019__ $$a1040032116 000843470 020__ $$a9783319784342$$q(electronic book) 000843470 020__ $$a331978434X$$q(electronic book) 000843470 020__ $$z9783319784335 000843470 0247_ $$a10.1007/978-3-319-78434-2$$2doi 000843470 035__ $$aSP(OCoLC)on1040612240 000843470 035__ $$aSP(OCoLC)1040612240$$z(OCoLC)1040032116 000843470 040__ $$aAZU$$beng$$cAZU$$dOCLCO$$dGW5XE$$dN$T$$dGW5XE$$dEBLCP$$dFIE$$dOCLCF$$dUAB 000843470 049__ $$aISEA 000843470 050_4 $$aQA640.7 000843470 08204 $$a516/.13$$223 000843470 24500 $$aDiscrete Geometry and Symmetry :$$bDedicated to Károly Bezdek and Egon Schulte on the Occasion of Their 60th Birthdays /$$cedited by Marston D. E. Conder, Antoine Deza, Asia Ivić Weiss. 000843470 264_1 $$aCham :$$bSpringer,$$c2018. 000843470 300__ $$a1 online resource (xxiii, 333 pages) :$$billustrations 000843470 336__ $$atext$$btxt$$2rdacontent 000843470 337__ $$acomputer$$bc$$2rdamedia 000843470 338__ $$aonline resource$$bcr$$2rdacarrier 000843470 347__ $$atext file$$bPDF$$2rda 000843470 4901_ $$aSpringer Proceedings in Mathematics & Statistics,$$x2194-1009 ;$$v234 000843470 504__ $$aIncludes bibliographical references. 000843470 5050_ $$aThe geometry of homothetic covering and illumination -- Stability of the simplex bound for packings by equal spherical caps determined by simplicial regular polytopes -- Vertex-transitive Haar graphs that are not Cayley graphs -- On the Volume of Boolean Expressions of Large Congruent Balls -- Small Primitive Zonotopes -- Delone Sets: Local Identity and Global Symmetry -- The Twist Operator on Maniplexes -- Hexagonal Extensions of Toroidal Maps and Hypermaps -- Noncongruent Equidissections of the Plane -- Pascal's triangle of configurations -- Volume of Convex Hull of Two Bodies and Related Problems -- Integers, Modular Groups, and Hyperbolic Space -- Monge points, Euler lines, and Feuerbach spheres in Minkowski spaces -- An Algorithm for Classification of Fundamental Polygons for a Plane Discontinuous Group -- Self-inscribed regular hyperbolic honeycombs -- Sphere-of-Influence graphs in Normed Spaces -- On Symmetries of Projections and Sections of Convex Bodies -- Regular Incidence Complexes, Polytopes, and C-Groups. 000843470 506__ $$aAccess limited to authorized users. 000843470 520__ $$aThis book consists of contributions from experts, presenting a fruitful interplay between different approaches to discrete geometry. Most of the chapters were collected at the conference "Geometry and Symmetry" in Veszprém, Hungary from 29 June to 3 July 2015. The conference was dedicated to Károly Bezdek and Egon Schulte on the occasion of their 60th birthdays, acknowledging their highly regarded contributions in these fields. While the classical problems of discrete geometry have a strong connection to geometric analysis, coding theory, symmetry groups, and number theory, their connection to combinatorics and optimization has become of particular importance. The last decades have seen a revival of interest in discrete geometric structures and their symmetry. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory and geometry, combinatorial group theory, and hyperbolic geometry and topology. This book contains papers on new developments in these areas, including convex and abstract polytopes and their recent generalizations, tiling and packing, zonotopes, isoperimetric inequalities, and on the geometric and combinatorial aspects of linear optimization. The book is a valuable resource for researchers, both junior and senior, in the field of discrete geometry, combinatorics, or discrete optimization. 000843470 650_0 $$aMathematics. 000843470 650_0 $$aConvex geometry. 000843470 650_0 $$aDiscrete geometry. 000843470 650_0 $$aPolytopes. 000843470 650_0 $$aMathematical optimization. 000843470 650_0 $$aCombinatorial analysis. 000843470 7001_ $$aConder, Marston D. E.$$eeditor. 000843470 7001_ $$aDeza, Antoine.$$eeditor. 000843470 7001_ $$aWeiss, Asia Ivić.$$eeditor. 000843470 77608 $$iPrint version: $$z9783319784335 000843470 830_0 $$aSpringer proceedings in mathematics & statistics ;$$v234. 000843470 852__ $$bebk 000843470 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-78434-2$$zOnline Access$$91397441.1 000843470 909CO $$ooai:library.usi.edu:843470$$pGLOBAL_SET 000843470 980__ $$aEBOOK 000843470 980__ $$aBIB 000843470 982__ $$aEbook 000843470 983__ $$aOnline 000843470 994__ $$a92$$bISE