Unifying Human Understanding

1st Edition - January 1, 1986

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  • Editor: István Hargittai
  • eBook ISBN: 9781483149523

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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.

Table of Contents

  • Foreword


    Part 1

    Limits of Perfection

    But What is Symmetry?

    Generalised Crystallography

    Seen and Unseen Symmetries: A Picture Essay

    Symmetry and Modularity

    Symmetry as an Aesthetic Factor

    Symmetry Induced by Economy

    Magic Rectangles in the Table of the 32 Classes of Symmetry

    An Extension of the Neumann-Minnigerode-Curie Principle

    Symmetry and its "Love-Hate" Role in Music

    The Computerized Soma Cube

    The Symmetry of M. C. Escher's "Impossible" Images

    Hyperbolic Symmetry

    Asymmetry and Symmetry in Cellular Organization

    Symmetry and Spontaneously Broken Symmetry in the Physics of Elementary Particles

    Symmetry of Point Imperfections in Solids

    On Symmetry and Asymmetry in Literature

    Symmetry Rules for Chemical Reactions

    Symmetry of Biological Macromolecules and their Associations

    Matching and Symmetry of Graphs

    Symmetry-Making and -Breaking in Visual Art

    Symmetry and Notation: Regularity and Symmetry in Notated Computer Graphics

    Symmetry in Mathematics



    Symmetry of System and System of Symmetry

    The Mosaic Patterns of H. J. Woods

    Bilateral Symmetry in Insects: Could it Derive from Circular Asymmetries During Early Embryogenesis?

    Formation of Symmetric and Asymmetric Structures During Development of Higher Organisms

    The Visualization of Music: Symmetry and Asymmetry

    On the Symmetry of Periodic Structures in Two Dimensions

    A Space View of a Symmetric Object

    Classification, Symmetry and the Periodic Table

    Part 2

    Crystallographic Patterns

    Symmetry in a Natural Fracture Pattern: The Origin of Columnar Joint Networks

    Chirality in the World of Stereochemistry

    Geometry and Crystal Symmetry

    The Generalized Petersen Graph G(24,5)

    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

    Milton's Mathematical Symbol of Theodicy

    Symmetry in Court and Country Dance

    Symmetry in Moorish and Other Ornaments

    The Geometry of Coastlines: A Study in Fractals

    In Black and White: How to Create Perfectly Colored Symmetric Patterns

    Symmetry, Hybridization and Bonding in Molecules

    Symmetry in Muslim Arts

    Non-Space-Group Symmetry in Crystallography

    Voronoi Polyhedra and the Docking Problem

    Pattern Symmetry and Colored Repetition in Cultural Contexts

    Symmetry in Archaeology

    Strange Patterns Generated from Simple Rules with Possible Relevance to Crystallization and Other Phenomena

    Towards a Grammar of Inorganic Structure

    Symmetries of Soap Films

    Notes on a Visual Philosophy

    Symmetry in Polymer Science

    Kekulé Structures and their Symmetry Properties

    The Gapon Formalism

    On Symmetries in the Graphic Art of Horst Bartnig

    Colored Symmetries in Space-Time

    A Course in the Mathematics of Design

    Symmetrology of Art: Coloured and Generalized Symmetries

    A Recurring Geometrical Pattern in the Early Renaissance Imagination

    Symmetry in Chemical Structures and Reactions

    The VSEPR Model of Molecular Geometry

    The Mathematical Theory of Chaos

Product details

  • No. of pages: 1060
  • Language: English
  • Copyright: © Pergamon 1986
  • Published: January 1, 1986
  • Imprint: Pergamon
  • eBook ISBN: 9781483149523

About the Editor

István Hargittai

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