國立虎尾科技大學 |

Discrete geometry and symmetry = dedicated to Karoly Bezdek and Egon Schulte on the occasion of their 60th birthdays /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Discrete geometry and symmetry/ edited by Marston D. E. Conder, Antoine Deza, Asia Ivic Weiss.
其他題名:	dedicated to Karoly Bezdek and Egon Schulte on the occasion of their 60th birthdays /
其他作者:	Conder, Marston D. E.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xxiii, 333 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Mathematics. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-78434-2
ISBN:	9783319784342

Discrete geometry and symmetry = dedicated to Karoly Bezdek and Egon Schulte on the occasion of their 60th birthdays /
Discrete geometry and symmetrydedicated to Karoly Bezdek and Egon Schulte on the occasion of their 60th birthdays /[electronic resource] :edited by Marston D. E. Conder, Antoine Deza, Asia Ivic Weiss. - Cham :Springer International Publishing :2018. - xxiii, 333 p. :ill. (some col.), digital ;24 cm. - Springer proceedings in mathematics & statistics,v.2342194-1009 ;. - Springer proceedings in mathematics & statistics ;v.24..

The 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.

This 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 Veszprem, Hungary from 29 June to 3 July 2015. The conference was dedicated to Karoly 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.

ISBN: 9783319784342

Standard No.: 10.1007/978-3-319-78434-2doiSubjects--Topical Terms:

527692
Mathematics.

LC Class. No.: QA640.7 / .D573 2018

Dewey Class. No.: 516.13

Discrete geometry and symmetry = dedicated to Karoly Bezdek and Egon Schulte on the occasion of their 60th birthdays /
LDR:03768nam a2200349 a 4500 001 927239
003 DE-He213
005 20190110133424.0
006 m d
007 cr nn 008maaau
008 190626s2018 gw s 0 eng d
020 $a 9783319784342 $q (electronic bk.)
020 $a 9783319784335 $q (paper)
024 7 $a 10.1007/978-3-319-78434-2 $2 doi
035 $a 978-3-319-78434-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA640.7 $b .D573 2018
072 7 $a PBMW $2 bicssc
072 7 $a PBD $2 bicssc
072 7 $a MAT012020 $2 bisacsh
072 7 $a MAT008000 $2 bisacsh
082 0 4 $a 516.13 $2 23
090 $a QA640.7 $b .D611 2018
245 0 0 $a Discrete geometry and symmetry $h [electronic resource] : $b dedicated to Karoly Bezdek and Egon Schulte on the occasion of their 60th birthdays / $c edited by Marston D. E. Conder, Antoine Deza, Asia Ivic Weiss.
260 $a Cham : $c 2018. $b Springer International Publishing : $b Imprint: Springer,
300 $a xxiii, 333 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer proceedings in mathematics & statistics, $x 2194-1009 ; $v v.234
505 0 $a The 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.
520 $a This 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 Veszprem, Hungary from 29 June to 3 July 2015. The conference was dedicated to Karoly 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.
650 0 $a Mathematics. $3 527692
650 0 $a Convex geometry. $3 685708
650 0 $a Discrete geometry. $3 672137
650 0 $a Polytopes. $3 884204
650 0 $a Mathematical optimization. $3 527675
650 0 $a Combinatorial analysis. $3 527896
650 2 4 $a Convex and Discrete Geometry. $3 672138
650 2 4 $a Combinatorics. $3 669353
650 2 4 $a Optimization. $3 669174
700 1 $a Conder, Marston D. E. $3 1206401
700 1 $a Deza, Antoine. $3 1077866
700 1 $a Weiss, Asia Ivic. $3 1206402
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Springer proceedings in mathematics & statistics ; $v v.24. $3 883338
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-78434-2
950 $a Mathematics and Statistics (Springer-11649)