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The initial purposes of this 1983 text were to develop mathematical topics relevant to the study of the incidence and symmetry structures of geometrical objects and to expand the reader's geometric intuition. The two fundamental mathematical topics employed in this endeavor are graph theory and the theory of transformation groups. Part I, Incidence, starts with two sections on the basics of graph theory and continues with a variety of specific applications of graph theory. Following this, the text becomes more theoretical; here graph theory is used to study surfaces other than the plane and the sphere. Part II, Symmetry, starts with a section on rigid motions or symmetries of the plane, which is followed by another on the classification of planar patterns. Additionally, an overview of symmetry in three-dimensional space is provided, along with a reconciliation of graph theory and group theory in a study of enumeration problems in geometry.
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.
The first comprehensive book on the topic in half a century explores recent symmetry – and symmetry breaking – related discoveries, and discusses the questions and answers they raise in diverse disciplines: particle and high-energy physics, structural chemistry and the biochemistry of proteins, in genetic code study, in brain research, and also in architectural structures, and business decision making, to mention only a few examples.
Originating from their work at Cambridge University on the design of energy efficient homes in Northern Europe, the authors consider the site constructions, building designs, available renewable energy sources, and servicing systems in different types of low energy houses.
Architects are now taking advantage of the computer in new ways through experimentation with algorithmic and simulation-driven design. Computation Works: The Building of Algorithmic Thought focuses on this emerging theme in design practice, showcasing built and soon-to-be-built projects and providing a state of the art in computational design. Computational design is considered to be first a design tool, and second a series of instruments that can be applied in the creation of architecture. It allows architects to incorporate performance analysis and knowledge about material, tectonics and the parameters of production machinery. Moving towards a new role as hybrid practitioners, architects are taking concepts from other disciplines and customising architectural and other CAD software. In addition to the discussion of built projects, a further series of texts examines new custom software instruments. New digital tools provide new modes of representation, new methods of evaluation, and new techniques for design exploration. The development of new computational tools can create more responsive designs, allowing architects to explore new design options and to analyse architectural decisions during the design process. This issue raises important questions such as: How is computation changing the way architects design? Are the design tools and methods related to the result? What is computational design in the context of architectural practice? and How is computation changing the processes of design and construction?
The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in ?Mathematics, Chemistry, and Astronomy ? Professional and Reference? in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition.
This is a collection of 18 columns written by Andrew Glassner for Computer Graphic and Applications magazine. As well as the published material, the book includes notes and corrections to the original articles, a chapter of introduction, and additional text and graphics not originally included. Topics range from computer graphics and art, to the ethics of computers in society.
The structural morphology working group of the International Association for Shell and Spatial Structures, founded in 1991, has helped to launch several international seminars, newsletters and specific sessions of international conferences devoted to structural morphology. This book contains papers that have been selected either for their fundamental contribution to structural morphology or for their actual pertinence in the field. Polyhedral geometry, double-curved surfaces, biological structures, foldable systems, form-finding techniques, and free form design are some of the topics included in the contents of this book. The work presented in this book is the result of more than 15 years of study by researchers, engineers, mathematicians, and architects, who thought that conceptual design would benefit from the association of separate fields (geometry, biology, and mechanics) in a holistic process. Every aspect of structural morphology is illustrated by one or more chapters of the book. As far as we know, there are few books OCo perhaps none OCo that gather all aspects of structural morphology, even if, for instance, there are many books on the geometry of polyhedra. Furthermore, readers will have access to a large list of selected references, which will open the scope of their bibliography. Sample Chapter(s). Chapter 1: The First 13 Years of Structural Morphology Group OCo A Personal View (2,623 KB). Contents: The First 13 Years of Structural Morphology Group OCo A Personal View (T Wester); An Approach to Structural Morphology (R Motro); The Structural Morphology of Curved Diaphragms OCo Or the Structural Behavior of Floral Polyhedra (T Wester); Polyhedroids (P Huybers); Novational Transformations (H Nooshin et al.); Some Structural-Morphological Aspects of Deployable Structures for Space Enclosures (A Hanaor); Phantasy in Space: On Human Feeling Between the Shapes of the World and How to Look on Natural Structures (M Balz); An Expandable Dodecahedron (K Flriin & T Tabor); Examples of Geometrical Reverse Engineering: Designing from Models and/or Under Geometrical Constraints (K Linkwitz); Crystalline Architecture (A L Loeb); Flat Grids Designs Employing the Swivel Diaphragm (C Rodriguez et al.); Form Optimizing in Biological Structures OCo The Morphology of Sea Shells (E Stach); Expandable OCyBlobOCO Structures (F Jensen & S Pellegrino). Readership: Advanced undergraduates and graduate students in mechanics, civil engineering, architecture and design; architects; engineers."
In Digital Design Media, Second Edition, architects and related design professionals will find a complete conceptual guide to the multidimensional world of computer-aided design. In contrast to the many books that describe how to use particular programs (and which therefore go out of date very quickly), Digital Design Media constructs a lasting theoretical framework, which will make it easier to understand a great number of programs—existing and future—as a whole. Clear structure, numerous historical references, and hundreds of illustrations make this framework both accessible to the nontechnical professional and broadening for the experienced computer-aided designer. The book will be especially valuable to anyone who is ready to expand their work in CAD beyond production drafting systems. The new second edition adds chapters one merging technologies, such as the Internet, but the book’s original content is as valid as ever. Thousands of design students and practitioners have made this book a standard.