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Symmetry as a Developmental Principle in Nature and Art

Symmetry as a Developmental Principle in Nature and Art
Author: Werner Hahn
Publisher: World Scientific
Total Pages: 532
Release: 1998-10-16
Genre: Science
ISBN: 9814500038

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Looking beyond the boundaries of various disciplines, the author demonstrates that symmetry is a fascinating phenomenon which provides endless stimulation and challenges. He explains that it is possible to readapt art to the sciences, and vice versa, by means of an evolutionary concept of symmetry. Many pictorial examples are included to enable the reader to fully understand the issues discussed. Based on the artistic evidence that the author has collected, he proposes that the new ars evolutoria can function as an example for the sciences. The book is divided into three distinct parts, each one focusing on a special issue. In Part I, the phenomenon of symmetry, including its discovery and meaning is reviewed. The author looks closely at how Vitruvius, Polyclitus, Democritus, Plato, Aristotle, Plotinus, Augustine, Alberti, Leonardo da Vinci and Durer viewed symmetry. This is followed by an explanation on how the concept of symmetry developed. The author further discusses symmetry as it appears in art and science, as well as in the modern age. Later, he expounds the view of symmetry as an evolutionary concept which can lead to a new unity of science. In Part II, he covers the points of contact between the form-developing process in nature and art. He deals with biological questions, in particular evolution. The collection of new and precise data on perception and knowledge with regard to the postulated reality of symmetry leads to further development of the evolutionary theory of symmetry in Part III. The author traces the enormous treasure of observations made in nature and culture back to a few underlying structural principles. He demonstrates symmetry as a far-reaching, leading, structuring, causal element of evolution, as the idea lying behind nature and culture. Numerous controllable reproducible double-mirror experiments on a new stereoscopic vision verify a symmetrization theory of perception. Contents:On the Concept and Significance of Symmetry:The Discovery of SymmetryOn the Term Symmetry from the Antiquity to the RenaissanceThe Development of an Exact Concept of Symmetry through Scientific ProgressOn Symmetry and Asymmetry as Evolutionary Factors in Nature. The Development of an Evolutionary Concept of SymmetryEvolutionary Symmetrizations in Two and Three Dimensions. On the Syntax and Semantics of SymmetrismOn the Problem of Organic Form Development:Can an Artist Approach the World and Its Content Only in a Metaphorical Way?Evolution: Fairy Tale, Theory or Fact? Can We Experience Evolution Directly?Evolutionism/Ars Evolutoria — The Theory of Light/Colour and Form, Morphogenesis, Morpho-Mutability and Morpho-Evolution as Causal Form Theory: On the Question Whether There can be a Pre-Object, Pre-Morph “Life Process of Form” in Nature and ArtPreliminary Proof for the Principle of Symmetrization as a Form of Movement in Space and TimeCauses and Processes of Morphological Evolution. Essential Facts and InterpretationsThe Architects Symmetrization and Asymmetrization as the Bases for the Perception of Objects and Order as well as Insight-Behaviour and Cultural EvolutionReanimation of Modernism Using Integrating Neo-RenaissanceEvolutionary Symmetry Theory and Universal Evolution Theory Readership: General, biologists and artists. keywords:Evolutionary Symmetry Theory;Asymmetrization/Symmetrization Principle;Formvariation/Mutation;Ars Evolutoria;Science Art;Double-Mirror-Experiments;Cultural Evolution;Neo-Evolutionism;Theory of Protoform;Bifurcation Morphology (Evolutionary Geometry) “Thus it is a great merit to have unrolled the phenomena of symmetries in their full breadth to a monumental work; whether in quanta, atoms, and crystals, or in corporeal forms, senses, and brains, or in the forms of all the artifacts that have originated from human activity. Only then will we become aware of our potentialities: the concert of relations that joins the inorganic and the organic, our sensibilities, our thoughts, and our deeds; that which reciprocally unites nature and culture in the human psyche.” From the Foreword by Professor Rupert Riedl “This book is readable even for those, who have not made detailed studies in the phenomena of symmetry, asymmetry … It must be kept in reach to the desk of any researcher of the evolution and any specialist — regardless of his/her discipline — of symmetry phenomena.” Symmetry: Culture and Science


Symmetry as a Developmental Principle in Nature and Art

Symmetry as a Developmental Principle in Nature and Art
Author: Werner Hahn
Publisher: World Scientific
Total Pages: 533
Release: 1998
Genre: Mathematics
ISBN: 9810223633

Download Symmetry as a Developmental Principle in Nature and Art Book in PDF, ePub and Kindle

Looking beyond the boundaries of various disciplines, the author demonstrates that symmetry is a fascinating phenomenon which provides endless stimulation and challenges. He explains that it is possible to readapt art to the sciences, and vice versa, by means of an evolutionary concept of symmetry. Many pictorial examples are included to enable the reader to fully understand the issues discussed. Based on the artistic evidence that the author has collected, he proposes that the new ars evolutoria can function as an example for the sciences.The book is divided into three distinct parts, each one focusing on a special issue. In Part I, the phenomenon of symmetry, including its discovery and meaning is reviewed. The author looks closely at how Vitruvius, Polyclitus, Democritus, Plato, Aristotle, Plotinus, Augustine, Alberti, Leonardo da Vinci and Durer viewed symmetry. This is followed by an explanation on how the concept of symmetry developed. The author further discusses symmetry as it appears in art and science, as well as in the modern age. Later, he expounds the view of symmetry as an evolutionary concept which can lead to a new unity of science. In Part II, he covers the points of contact between the form-developing process in nature and art. He deals with biological questions, in particular evolution.The collection of new and precise data on perception and knowledge with regard to the postulated reality of symmetry leads to further development of the evolutionary theory of symmetry in Part III. The author traces the enormous treasure of observations made in nature and culture back to a few underlying structural principles. He demonstrates symmetry as a far-reaching, leading, structuring, causal element of evolution, as the idea lying behind nature and culture. Numerous controllable reproducible double-mirror experiments on a new stereoscopic vision verify a symmetrization theory of perception.


Symmetrical Analysis Techniques for Genetic Systems and Bioinformatics: Advanced Patterns and Applications

Symmetrical Analysis Techniques for Genetic Systems and Bioinformatics: Advanced Patterns and Applications
Author: Petoukhov, Sergey
Publisher: IGI Global
Total Pages: 290
Release: 2009-10-31
Genre: Computers
ISBN: 1605661252

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"This book compiles studies that demonstrate effective approaches to the structural analysis of genetic systems and bioinformatics"--Provided by publisher.


Mathematics of Bioinformatics

Mathematics of Bioinformatics
Author: Matthew He
Publisher: John Wiley & Sons
Total Pages: 231
Release: 2011-03-16
Genre: Computers
ISBN: 1118099524

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Mathematics of Bioinformatics: Theory, Methods, and Applications provides a comprehensive format for connecting and integrating information derived from mathematical methods and applying it to the understanding of biological sequences, structures, and networks. Each chapter is divided into a number of sections based on the bioinformatics topics and related mathematical theory and methods. Each topic of the section is comprised of the following three parts: an introduction to the biological problems in bioinformatics; a presentation of relevant topics of mathematical theory and methods to the bioinformatics problems introduced in the first part; an integrative overview that draws the connections and interfaces between bioinformatics problems/issues and mathematical theory/methods/applications.


Structure and Form in Design

Structure and Form in Design
Author: Michael Hann
Publisher: A&C Black
Total Pages: 217
Release: 2013-08-01
Genre: Technology & Engineering
ISBN: 0857854658

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This book provides a critical examination of structure and form in design, covering a range of topics of great value to students and practitioners engaged in any of the specialist decorative arts and design disciplines. The complexities of two-dimensional phenomena are explained and illustrated in detail, while various three-dimensional forms are also discussed. In the context of the decorative arts and design, structure is the underlying framework, and form the resultant, visible, two- or three-dimensional outcome of the creative process. Whether hidden or visually detectable in the final design, structure invariably determines whether or not a design is successful in terms of both its aesthetics and its practical performance. Hann successfully identifies various geometric concepts, and presents and discusses a number of simple guidelines to assist the creative endeavours of both accomplished and student practitioners, teachers and researchers.


Symmetry in Science and Art

Symmetry in Science and Art
Author: Alekseĭ Vasilʹevich Shubnikov
Publisher: Springer
Total Pages: 468
Release: 1974
Genre: Juvenile Nonfiction
ISBN:

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The perception of symmetry in art and in nature has been appreciated since antiquity, with development of the underlying laws tracing back at least to Pythagorean times. By the end of the eighteenth century it was realized that the immense variety of natural crystal shapes could be accounted for on the basis of a rather small number of symmetry operations, of which some were equally applicable to biological systems. The mathematical theory of symmetry continued to mature throughout the last century, culminating in the independent discoveries in Russia, Germany, and England that a total of only 230 independent ways exist in which the operations of rotation, reflection, and translation can be combined to transform three-dimensional geometrical objects into themselves. Derivation of the 230 space groups depends ultimately on restricting the meaning of symmetry to that of a property of purely geometrical figures. A. V. Shubnikov and his collaborators, over the past three decades, expanded this concept of symmetry to include the sign of transformation operations.


Symmetry

Symmetry
Author: György Darvas
Publisher: Springer Science & Business Media
Total Pages: 508
Release: 2007-02-15
Genre: Mathematics
ISBN: 376437554X

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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.


Symmetry in Science and Art

Symmetry in Science and Art
Author: A. Shubnikov
Publisher: Springer
Total Pages: 0
Release: 1995-12-15
Genre: Science
ISBN: 9781468420678

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The perception of symmetry in art and in nature has been appreciated since antiquity, with development of the underlying laws tracing back at least to Pythagorean times. By the end of the eighteenth century it was realized that the immense variety of natural crystal shapes could be accounted for on the basis of a rather small number of symmetry operations, of which some were equally applicable to biological systems. The mathematical theory of symmetry continued to mature throughout the last century, culminating in the independent discoveries in Russia, Germany, and England that a total of only 230 independent ways exist in which the operations of rotation, reflection, and translation can be combined to transform three-dimensional geometrical objects into themselves. Derivation of the 230 space groups depends ultimately on restricting the meaning of symmetry to that of a property of purely geometrical figures. A. V. Shubnikov and his collaborators, over the past three decades, expanded this concept of symmetry to include the sign of transformation operations.


Elements of Dynamic Symmetry

Elements of Dynamic Symmetry
Author: Jay Hambridge
Publisher: Peter Smith Pub Incorporated
Total Pages:
Release: 1978-10-01
Genre:
ISBN: 9780844621937

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Is design intuitive or is it consciously and methodically worked out? Are there basic rules governing design that, when learned, will facilitate the creative process? These questions have been asked by artists, art historians, and art critics throughout the ages. Convinced that design was not purely instinctive, Jay Hambidge (1867-1924) spent much of his life searching for the technical bases of design. He found his answer in dynamic symmetry, one of the most provocative and stimulating theories in art history. Hambidge's study of Greek art convinced him that the secret of the beauty of Greek design was in the conscious use of dynamic symmetry -- the law of natural design based upon the symmetry of growth in man and in plants. But Hambidge, who was not only a theoretician but also a practicing artist, did much more than analyze classical art and its principles of design: he worked out a series of root rectangles that the artist, using the simple mathematics supplied in this book, can easily follow and apply in his own work. Originally published as a series of lessons in Hambidge's magazine, "The Diagonal, " this engrossing book explains all the basic principles of dynamic symmetry. Part I sets forth the fundamental rectangles with their simple divisions based on the proportioning law found in nature; Part II explains compound rectangles, many of which were taken from or suggested by analysis of objects of Greek art. Whether read for its historical importance in art theory, for its illuminating insights into Greek art, or for its practical value to today's artists and commercial designers, "The Elements of Dynamic Symmetry" has much to offer anyone who is interested in the principle of design.