LEADER 04753nam 22006255 450 001 9910300121703321 005 20251230065839.0 010 $a3-319-78434-X 024 7 $a10.1007/978-3-319-78434-2 035 $a(CKB)4100000004834483 035 $a(DE-He213)978-3-319-78434-2 035 $a(MiAaPQ)EBC5426670 035 $a(PPN)229490794 035 $a(EXLCZ)994100000004834483 100 $a20180611d2018 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDiscrete Geometry and Symmetry $eDedicated to Károly Bezdek and Egon Schulte on the Occasion of Their 60th Birthdays /$fedited by Marston D. E. Conder, Antoine Deza, Asia Ivi? Weiss 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XXIII, 333 p. 50 illus., 21 illus. in color.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1017 ;$v234 311 08$a3-319-78433-1 327 $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. 330 $aThis book consists of contributions from experts, presenting a fruitful interplay between different approaches to discrete geometry. Most of the chapters were collected at the conference ?Geometry and Symmetry? in Veszprém, Hungary from 29 June to 3 July 2015. The conference was dedicated to Károly Bezdek and Egon Schulte on the occasion of their 60th birthdays, acknowledging their highly regarded contributions in these fields. While the classical problems of discrete geometry have a strong connection to geometric analysis, coding theory, symmetry groups, and number theory, their connection to combinatorics and optimization has become of particular importance. The last decades have seen a revival of interest in discrete geometric structures and their symmetry. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory and geometry, combinatorial group theory, and hyperbolic geometry and topology. This book contains papers on new developments in these areas, including convex and abstract polytopes and their recent generalizations, tiling and packing, zonotopes, isoperimetric inequalities, and on the geometric and combinatorial aspects of linear optimization. The book is a valuable resource for researchers, both junior and senior, in the field of discrete geometry, combinatorics, or discrete optimization. Graduate students find state-of-the-art surveys and an open problem collection. . 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1017 ;$v234 606 $aConvex geometry 606 $aDiscrete geometry 606 $aDiscrete mathematics 606 $aPolytopes 606 $aMathematical optimization 606 $aConvex and Discrete Geometry 606 $aDiscrete Mathematics 606 $aPolytopes 606 $aOptimization 615 0$aConvex geometry. 615 0$aDiscrete geometry. 615 0$aDiscrete mathematics. 615 0$aPolytopes. 615 0$aMathematical optimization. 615 14$aConvex and Discrete Geometry. 615 24$aDiscrete Mathematics. 615 24$aPolytopes. 615 24$aOptimization. 676 $a516.1 702 $aConder$b Marston D. E.$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aDeza$b Antoine$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aWeiss$b Asia Ivic?$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910300121703321 996 $aDiscrete Geometry and Symmetry$91564704 997 $aUNINA