Symmetry 2 : unifying human understanding

International Series in Modern Applied Mathematics and Computer Science, Volume 10: Symmetry: Unifying Human Understanding provides a tremendous scope of “symmetry”, covering subjects from fractals through court dances to crystallography and literature. This book discusses the limits of perfection, symmetry as an aesthetic factor, extension of the Neumann-Minnigerode-Curie principle, and symmetry of point imperfections in solids. The symmetry rules for chemical reactions, matching and symmetry of graphs, mosaic patterns of H. J. Woods, and bilateral symmetry in insects are also elaborated. This text likewise covers the crystallographic patterns, Milton's mathematical symbol of theodicy, symmetries of soap films, and gapon formalism. This volume is a good source for researchers and specialists concerned with symmetry. Content: International Series in MODERN APPLIED MATHEMATICS AND COMPUTER SCIENCE, Page ii Front Matter, Page iii Copyright, Page iv FOREWORD, Pages ix-x, ERVIN Y. RODIN PREFACE, Pages xi-xiii, ISTVÁN HARGITTAI LIMITS OF PERFECTION, Pages 1-17, ISTVÁN HARGITTAI BUT WHAT IS SYMMETRY?, Pages 19-20, ALAN L. MACKAY GENERALISED CRYSTALLOGRAPHY, Pages 21-37, ALAN L. MACKAY SEEN AND UNSEEN SYMMETRIES: A PICTURE ESSAY, Pages 39-62, GYÖRGY DOCZI SYMMETRY AND MODULARITY, Pages 63-75, A.L. LOEB SYMMETRY AS AN AESTHETIC FACTOR, Pages 77-82, HAROLD OSBORNE SYMMETRY INDUCED BY ECONOMY, Pages 83-91, L. FEJES TÓTH MAGIC RECTANGLES IN THE TABLE OF THE 32 CLASSES OF SYMMETRY, Pages 93-96, I.I. SHAFRANOVSKII AN EXTENSION OF THE NEUMANN–MINNIGERODE–CURIE PRINCIPLE, Pages 97-100, J. BRANDMÜLLER SYMMETRY AND ITS “LOVE–HATE” ROLE IN MUSIC, Pages 101-112, DANA WILSON THE COMPUTERIZED SOMA CUBE, Pages 113-121, JON BRUNVOLL, BJØRG CYVIN, EINAR CYVIN, SVEN CYVIN, AAGE PAUS, MARTIN STØLEVIK, REIDAR STØLEVIK THE SYMMETRY OF M. C. ESCHER'S “IMPOSSIBLE” IMAGES, Pages 123-138, CAROLINE H. MACGILLAVRY HYPERBOLIC SYMMETRY, Pages 139-153, DOUGLAS DUNHAM ASYMMETRY AND SYMMETRY IN CELLULAR ORGANIZATION, Pages 155-167, HEINZ HERRMANN SYMMETRY AND SPONTANEOUSLY BROKEN SYMMETRY IN THE PHYSICS OF ELEMENTARY PARTICLES, Pages 169-183, PHILIP D. MANNHEIM SYMMETRY OF POINT IMPERFECTIONS IN SOLIDS, Pages 185-196, RALPH H. BARTRAM ON SYMMETRY AND ASYMMETRY IN LITERATURE, Pages 197-227, B. PAVLOVIĆ, N. TRINAJSTIĆ SYMMETRY RULES FOR CHEMICAL REACTIONS, Pages 229-236, RALPH G. PEARSON SYMMETRY OF BIOLOGICAL MACROMOLECULES AND THEIR ASSOCIATIONS, Pages 237-269, B.K. VAINSHTEIN MATCHING AND SYMMETRY OF GRAPHS, Pages 271-290, HARUO HOSOYA SYMMETRY-MAKING AND -BREAKING IN VISUAL ART, Pages 291-301, V. MOLNAR, F. MOLNAR SYMMETRY AND NOTATION: REGULARITY AND SYMMETRY IN NOTATED COMPUTER GRAPHICS, Pages 303-314, JOHN G. HARRIES SYMMETRY IN MATHEMATICS, Pages 315-328, PETER HILTON, JEAN PEDERSEN MOIRÉS, Pages 329-361, HANS GIGER MOIRÉS, Pages 363-378, WERNER WITSCHI SYMMETRY OF SYSTEM AND SYSTEM OF SYMMETRY, Pages 379-405, Yu.A. URMANTSEV THE MOSAIC PATTERNS OF H. J. WOODS, Pages 407-411, D.W. CROWE BILATERAL SYMMETRY IN INSECTS: COULD IT DERIVE FROM CIRCULAR ASYMMETRIES DURING EARLY EMBRYOGENESIS?, Pages 413-418, KLAUS SANDER FORMATION OF SYMMETRIC AND ASYMMETRIC STRUCTURES DURING DEVELOPMENT OF HIGHER ORGANISMS, Pages 419-433, HANS MEINHXARDT THE VISUALIZATION OF MUSIC: SYMMETRY AND ASYMMETRY, Pages 435-463, ROBERTO DONNINI ON THE SYMMETRY OF PERIODIC STRUCTURES IN TWO DIMENSIONS, Pages 465-476, A. GAVEZZOTTI, M. SIMONETTA A SPACE VIEW OF A SYMMETRIC OBJECT, Pages 477-485, BARBARA E. LOWREY CLASSIFICATION, SYMMETRY AND THE PERIODIC TABLE, Pages 487-510, WILLIAM B. JENSEN CRYSTALLOGRAPHIC PATTERNS, Pages 511-529, KH.S. MAMEDOV SYMMETRY IN A NATURAL FRACTURE PATTERN: THE ORIGIN OF COLUMNAR JOINT NETWORKS, Pages 531-545, NORMAN H. GRAY CHIRALITY IN THE WORLD OF STEREOCHEMISTRY, Pages 547-563, V.I. SOKOLOV GEOMETRY AND CRYSTAL SYMMETRY, Pages 565-578, MARJORIE SENECHAL THE GENERALIZED PETERSEN GRAPH G(24, 5), Pages 579-583, H.S.M. COXETER AN INTERPLAY BETWEEN THE PHENOMENON OF CHEMICAL ISOMERISM AND SYMMETRY REQUIREMENTS: A PERENNIAL SOURCE OF STIMULI FOR MOLECULAR-STRUCTURE CONCEPTS, AS WELL AS FOR ALGEBRAIC AND COMPUTATIONAL CHEMISTRY, Pages 585-616, ZDENËK SLANINA MILTON'S MATHEMATICAL SYMBOL OF THEODICY, Pages 617-627, LEE M. JOHNSON SYMMETRY IN COURT AND COUNTRY DANCE, Pages 629-639, ARTHUR L. LOEB SYMMETRY IN MOORISH AND OTHER ORNAMENTS, Pages 641-653, BRANKO GRÜNBAUM, ZDENKA GRÜNBAUM, G.C. SHEPHARD THE GEOMETRY OF COASTLINES: A STUDY IN FRACTALS, Pages 655-671, JAY KAPPRAFF IN BLACK AND WHITE: HOW TO CREATE PERFECTLY COLORED SYMMETRIC PATTERNS, Pages 673-695, DORIS SCHATTSCHNEIDER SYMMETRY, HYBRIDIZATION AND BONDING IN MOLECULES, Pages 697-723, ZVONIMIR B. MAKSIć SYMMETRY IN MUSLIM ARTS, Pages 725-750, ERZSÉBET RÓZSA NON-SPACE-GROUP SYMMETRY IN CRYSTALLOGRAPHY, Pages 751-762, KONRAD FICHTNER VORONOI POLYHEDRA AND THE DOCKING PROBLEM, Pages 763-766, CARL W. DAVID PATTERN SYMMETRY AND COLORED REPETITION IN CULTURAL CONTEXTS, Pages 767-781, DOROTHY K. WASHBURN SYMMETRY IN ARCHAEOLOGY, Pages 783-787, J. BRANDMÜLLER, B. HROUDA, A.V. WICKEDE STRANGE PATTERNS GENERATED FROM SIMPLE RULES WITH POSSIBLE RELEVANCE TO CRYSTALLIZATION AND OTHER PHENOMENA, Pages 789-801, REIDAR STØLEVIK, JON BRUNVOLL, BJØRG CYVIN, SVEN CYVIN TOWARDS A GRAMMAR OF INORGANIC STRUCTURE, Pages 803-824, A.L. MACKAY, J. KLINOWSKI SYMMETRIES OF SOAP FILMS, Pages 825-834, A.T. FOMENKO NOTES ON A VISUAL PHILOSOPHY, Pages 835-848, AGNES DENES SYMMETRY IN POLYMER SCIENCE, Pages 849-857, RIICHIRÔ CHÛJÔ KEKULÉ STRUCTURES AND THEIR SYMMETRY PROPERTIES, Pages 859-876, S.J. CYVIN, I. GUTMAN THE GAPON FORMALISM, Pages 877-881, RAANAN LIEBERMANN ON SYMMETRIES IN THE GRAPHIC ART OF HORST BARTNIG, Pages 883-893, PETER SCHARFENBERG COLORED SYMMETRIES IN SPACE–TIME, Pages 895-911, JĒKABS ZVILNA A COURSE IN THE MATHEMATICS OF DESIGN, Pages 913-948, JAY KAPPRAFF SYMMETROLOGY OF ART: COLOURED AND GENERALIZED SYMMETRIES, Pages 949-980, EMIL MAKOVICKY A RECURRING GEOMETRICAL PATTERN IN THE EARLY RENAISSANCE IMAGINATION, Pages 981-997, L.A. CUMMINGS SYMMETRY IN CHEMICAL STRUCTURES AND REACTIONS, Pages 999-1020, ALEXANDRU T. BALABAN THE VSEPR MODEL OF MOLECULAR GEOMETRY, Pages 1021-1038, I. HARGITTAI, B. CHAMBERLAND THE MATHEMATICAL THEORY OF CHAOS, Pages 1039-1045, DENIS BLACKMORE Part 1: Computers And Mathematics With Applications, V. 12b (1-2), 1986. Part 2: Computers And Mathematics With Applications, V. 12b (3-4), 1986. Edited By Istvȧn Hargittai. Includes Bibliographies.