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Symmetry In Science And Art


Symmetry In Science And Art
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Symmetry In Science And Art


Symmetry In Science And Art
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Author : Alekseĭ Vasilʹevich Shubnikov
language : en
Publisher: Springer
Release Date : 1974

Symmetry In Science And Art written by Alekseĭ Vasilʹevich Shubnikov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Juvenile Nonfiction categories.


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 In Science And Art


Symmetry In Science And Art
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Author : A. Shubnikov
language : en
Publisher: Springer
Release Date : 1995-12-15

Symmetry In Science And Art written by A. Shubnikov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-12-15 with Science categories.


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
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Author : György Darvas
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-25

Symmetry written by György Darvas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-25 with Mathematics categories.


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 As A Developmental Principle In Nature And Art


Symmetry As A Developmental Principle In Nature And Art
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Author : Werner Hahn
language : en
Publisher: World Scientific
Release Date : 1998

Symmetry As A Developmental Principle In Nature And Art written by Werner Hahn and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


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.



Symmetry In Science And Art By A V Shubnikov And V A Koptsik Translated From Russian By G D Archard Edited By David Harker


Symmetry In Science And Art By A V Shubnikov And V A Koptsik Translated From Russian By G D Archard Edited By David Harker
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Author : Aleksei Vasilevich Shubnikov
language : en
Publisher:
Release Date : 1974

Symmetry In Science And Art By A V Shubnikov And V A Koptsik Translated From Russian By G D Archard Edited By David Harker written by Aleksei Vasilevich Shubnikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Symmetry categories.




The Principle Of Symmetry And Its Applications To Science And To Art


The Principle Of Symmetry And Its Applications To Science And To Art
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Author : George Sarton
language : en
Publisher:
Release Date : 1921*

The Principle Of Symmetry And Its Applications To Science And To Art written by George Sarton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1921* with categories.




Symmetry Through The Eyes Of A Chemist


Symmetry Through The Eyes Of A Chemist
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Author : Magdolna Hargittai
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-02-28

Symmetry Through The Eyes Of A Chemist written by Magdolna Hargittai and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-28 with Science categories.


It is gratifying to launch the third edition of our book. Its coming to life testi?es about the task it has ful?lled in the service of the com- nity of chemical research and learning. As we noted in the Prefaces to the ?rst and second editions, our book surveys chemistry from the point of view of symmetry. We present many examples from ch- istry as well as from other ?elds to emphasize the unifying nature of the symmetry concept. Our aim has been to provide aesthetic pl- sure in addition to learning experience. In our ?rst Preface we paid tribute to two books in particular from which we learned a great deal; they have in?uenced signi?cantly our approach to the subject matter of our book. They are Weyl’s classic, Symmetry, and Shubnikov and Koptsik’s Symmetry in Science and Art. The structure of our book has not changed. Following the Int- duction (Chapter 1), Chapter 2 presents the simplest symmetries using chemical and non-chemical examples. Molecular geometry is discussed in Chapter 3. The next four chapters present gro- theoretical methods (Chapter 4) and, based on them, discussions of molecular vibrations (Chapter 5), electronic structures (Chapter 6), and chemical reactions (Chapter 7). For the last two chapters we return to a qualitative treatment and introduce space-group sym- tries (Chapter 8), concluding with crystal structures (Chapter 9). For the third edition we have further revised and streamlined our text and renewed the illustrative material.



Symmetry Discovered


Symmetry Discovered
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Author : Joe Rosen
language : en
Publisher: Courier Corporation
Release Date : 2012-10-16

Symmetry Discovered written by Joe Rosen and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-16 with Science categories.


Newly enlarged classic covers basic concepts and terminology, lucid discussions of geometric symmetry, other symmetries and approximate symmetry, symmetry in nature, in science, more. Solutions to problems. Expanded bibliography. 1975 edition.



Symmetry Art And Science


Symmetry Art And Science
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Author : G. Darvas ((ed.))
language : en
Publisher:
Release Date : 2002

Symmetry Art And Science written by G. Darvas ((ed.)) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Symmetry categories.




Exploring Scale Symmetry


Exploring Scale Symmetry
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Author : Thomas Lowe
language : en
Publisher: World Scientific
Release Date : 2021-02-18

Exploring Scale Symmetry written by Thomas Lowe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-18 with Mathematics categories.


Welcome to the world of scale symmetry, the last elementary symmetry and the least explored!Find out how this long-neglected element transforms the traditional geometry of lines and planes into a rich landscape of trees, craggy mountains and rolling oceans.Enjoy a visual exploration through the intricate and elaborate structures of scale-symmetric geometry. See unique fractals, Mandelboxes, and automata and physical behaviors. Take part in the author's forage into the lesser-trodden regions of this landscape, and discover unusual and attractive specimens!You will also be provided with all the tools needed to recreate the structures yourself.Every example is new and developed by the author, and is chosen because it pushes the field of scale-symmetric geometry into a scarcely explored region. The results are complex and intricate but the method of generation is often simple, which allows it to be presented graphically without depending on too much mathematical syntax. If you are interested in the mathematics, science and art of scale symmetry, then read on!This is also a book for programmers and for hobbyists: those of us who like to dabble with procedural imagery and see where it leads.