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Author: Alekseĭ Vasilʹevich Shubnikov
Publisher: Springer
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 468
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Book Description
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.
Author: Alekseĭ Vasilʹevich Shubnikov
Publisher: Springer
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 468
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Book Description
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.
Author: Mark Allen
Publisher:
ISBN: 9780989956673
Category :
Languages : en
Pages :
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Book Description
Author: Werner Hahn
Publisher: World Scientific
ISBN: 9810223633
Category : Mathematics
Languages : en
Pages : 533
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Book Description
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.
Author: Katherine Larson
Publisher: Yale University Press
ISBN: 030017179X
Category : Poetry
Languages : en
Pages : 76
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Book Description
Katherine Larson is the winner of the 2010 Yale Series of Younger Poets Competition. With "Radial Symmetry," she has created a transcendent body of poems that flourish in the liminal spaces that separate scientific inquiry from empathic knowledge, astute observation from sublime witness. Larson's inventive lyrics lead the reader through vertiginous landscapes - geographical, phenomenological, psychological - while always remaining attendant to the speaker's own fragile, creaturely self. An experienced research scientist and field ecologist, Larson dazzles with these sensuous and sophisticated poems, grappling with the powers of poetic imagination as well as the frightful realization of the human capacity for ecological destruction. The result is a profoundly moving collection: eloquent in its lament and celebration. Metamorphosis [an excerpt]: We dredge the stream with soup strainers and separate dragonfly and damselfly nymphs - their eyes like inky bulbs, jaws snapping at the light as if the world was full of tiny traps, each hairpin mechanism tripped for transformation. Such a ricochet of appetites insisting life, life, life against the watery dark, the tuberous reeds.
Author: Magdolna Hargittai
Publisher: World Scientific
ISBN: 9812835326
Category : Science
Languages : en
Pages : 220
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Book Description
The authors, world-renowned scientists, have already produced a dozen books on symmetry for professionals as well as lay persons, for grownups as well as children, in English, Russian, German, Hungarian, and Swedish languages. They provide this attractive account of symmetry in few words and many oOe1/4OCO as many as 650 oOe1/4OCO images in full color from the most diverse corners of our globe. An encounter with this book will open up a whole new experience for the reader, who will never look at the world with the same eyes as before."
Author: Bruno Gruber
Publisher: Springer Science & Business Media
ISBN: 140202634X
Category : Science
Languages : en
Pages : 623
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Book Description
This book is a collection of reviews and essays about the recent developments in the area of Symmetries and applications of Group Theory. Contributions have been written mostly at the graduate level but some are accessible to advanced undergraduates. The book is of interest to a wide audience and covers a broad range of topics with a strong degree of thematical unity. The book is part of a Series of books on Symmetries in Science and may be compared to the published Proceedings of the Colloquia on Group Theoretical Methods in Physics. Here, however, prevails a distinguished character for presenting extended reviews on present applications to Science, not restricted to Theoretical Physics.
Author: György Darvas
Publisher: Springer Science & Business Media
ISBN: 376437554X
Category : Mathematics
Languages : en
Pages : 508
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Book Description
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.
Author: Jay Kappraff
Publisher: World Scientific
ISBN: 9814491322
Category : Mathematics
Languages : en
Pages : 519
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Book Description
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.
Author: Kristóf Fenyvesi
Publisher: Birkhäuser
ISBN: 3319572598
Category : Mathematics
Languages : en
Pages : 297
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Book Description
This anthology fosters an interdisciplinary dialogue between the mathematical and artistic approaches in the field where mathematical and artistic thinking and practice merge. The articles included highlight the most significant current ideas and phenomena, providing a multifaceted and extensive snapshot of the field and indicating how interdisciplinary approaches are applied in the research of various cultural and artistic phenomena. The discussions are related, for example, to the fields of aesthetics, anthropology, art history, art theory, artistic practice, cultural studies, ethno-mathematics, geometry, mathematics, new physics, philosophy, physics, study of visual illusions, and symmetry studies. Further, the book introduces a new concept: the interdisciplinary aesthetics of mathematical art, which the editors use to explain the manifold nature of the aesthetic principles intertwined in these discussions.
Author: Barnes Foundation
Publisher:
ISBN:
Category : Art
Languages : en
Pages : 284
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Book Description
