Computers, Pattern, Chaos and Beauty

Computers, Pattern, Chaos and Beauty PDF

Author: Clifford A. Pickover

Publisher: Courier Corporation

Published: 2012-07-12

Total Pages: 416

ISBN-13: 0486151611

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Fractals and chaos theory lead to startling graphics in this book by a renowned scientist, inventor, and artist, who coordinates information from disparate fields. Over 275 illustrations, 29 in color.

Chaos and Fractals

Chaos and Fractals PDF

Author: C.A. Pickover

Publisher: Elsevier

Published: 1998-08-03

Total Pages: 452

ISBN-13: 9780080528861

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These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical, and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art. Chaos and Fractals is divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex Maps; Iterated Function Systems; and Computer Art. Additionally, information on the latest practical applications of fractals and on the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.

Surfing through Hyperspace

Surfing through Hyperspace PDF

Author: Clifford A. Pickover

Publisher: Oxford University Press

Published: 2001-05-17

Total Pages: 272

ISBN-13: 0199923817

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Do a little armchair time-travel, rub elbows with a four-dimensional intelligent life form, or stretch your mind to the furthest corner of an uncharted universe. With this astonishing guidebook, Surfing Through Hyperspace, you need not be a mathematician or an astrophysicist to explore the all-but-unfathomable concepts of hyperspace and higher-dimensional geometry. No subject in mathematics has intrigued both children and adults as much as the idea of a fourth dimension. Philosophers and parapsychologists have meditated on this mysterious space that no one can point to but may be all around us. Yet this extra dimension has a very real, practical value to mathematicians and physicists who use it every day in their calculations. In the tradition of Flatland, and with an infectious enthusiasm, Clifford Pickover tackles the problems inherent in our 3-D brains trying to visualize a 4-D world, muses on the religious implications of the existence of higher-dimensional consciousness, and urges all curious readers to venture into "the unexplored territory lying beyond the prison of the obvious." Pickover alternates sections that explain the science of hyperspace with sections that dramatize mind-expanding concepts through a fictional dialogue between two futuristic FBI agents who dabble in the fourth dimension as a matter of national security. This highly accessible and entertaining approach turns an intimidating subject into a scientific game open to all dreamers. Surfing Through Hyperspace concludes with a number of puzzles, computer experiments and formulas for further exploration, inviting readers to extend their minds across this inexhaustibly intriguing scientific terrain.

Computers and the Imagination

Computers and the Imagination PDF

Author: Clifford A. Pickover

Publisher: Palgrave Macmillan

Published: 1992

Total Pages: 444

ISBN-13: 9780312083434

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An examination of how visualization has transformed the way humans perceive and understand their world uses a computer to gain insights into the origins of human creativity. Original.

The Computational Beauty of Nature

The Computational Beauty of Nature PDF

Author: Gary William Flake

Publisher: MIT Press

Published: 2000-01-27

Total Pages: 524

ISBN-13: 9780262561273

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Gary William Flake develops in depth the simple idea that recurrent rules can produce rich and complicated behaviors. In this book Gary William Flake develops in depth the simple idea that recurrent rules can produce rich and complicated behaviors. Distinguishing "agents" (e.g., molecules, cells, animals, and species) from their interactions (e.g., chemical reactions, immune system responses, sexual reproduction, and evolution), Flake argues that it is the computational properties of interactions that account for much of what we think of as "beautiful" and "interesting." From this basic thesis, Flake explores what he considers to be today's four most interesting computational topics: fractals, chaos, complex systems, and adaptation. Each of the book's parts can be read independently, enabling even the casual reader to understand and work with the basic equations and programs. Yet the parts are bound together by the theme of the computer as a laboratory and a metaphor for understanding the universe. The inspired reader will experiment further with the ideas presented to create fractal landscapes, chaotic systems, artificial life forms, genetic algorithms, and artificial neural networks.

The Pattern Book

The Pattern Book PDF

Author: Clifford A. Pickover

Publisher: World Scientific

Published: 1995

Total Pages: 474

ISBN-13: 9789810214265

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Although the patterns are computer-generated, the book is informal and emphasis is on the fun that the true pattern lover finds in doing rather than in reading about the doing.

Fractals

Fractals PDF

Author: John Briggs

Publisher: Simon and Schuster

Published: 1992

Total Pages: 196

ISBN-13: 0671742175

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Explains the significance and beauty of fractals using over 170 illustrations.

Mazes for the Mind

Mazes for the Mind PDF

Author: Clifford A. Pickover

Publisher: Palgrave Macmillan

Published: 1994-01-01

Total Pages: 430

ISBN-13: 9780312103538

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Gathers puzzles and problems, and discusses concepts related to fractals, games, computer art, music, space, time, and numbers