Fractal AttractionTM

Fractal AttractionTM PDF

Author: Kevin D. Lee

Publisher: Academic Press

Published: 2014-05-12

Total Pages: 76

ISBN-13: 1483267261

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Fractal AttractionTM: A Fractal Design System for the Macintosh® provides information pertinent to fractal attraction, a Macintosh application. This book introduces the Iterated Function Systems (IFS). Organized into eight chapters, this book begins with an overview of the standard and enhanced versions of fractal attraction. This text then explains the ideas and basic principles behind generating fractals based on sets of equations. Other chapters explain an alternative algorithm, the random algorithm, and how to use it. This book discusses as well the Design window wherein the user can translate, rotate, shear, and re-size transformations all by pointing, clicking and dragging. The final chapter deals with an overview of the windows and the menu items are explained in detail. This book is a valuable resource for readers who are interested in using fractal attraction application.

The Fractal Self

The Fractal Self PDF

Author: John L. Culliney

Publisher: University of Hawaii Press

Published: 2017-07-31

Total Pages: 257

ISBN-13: 0824866649

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Our universe, science reveals, began in utter simplicity, then evolved into burgeoning complexity. Starting with subatomic particles, dissimilar entities formed associations—binding, bonding, growing, branching, catalyzing, cooperating—as “self” joined “other” following universal laws with names such as gravity, chemical attraction, and natural selection. Ultimately life arose in a world of dynamic organic chemistry, and complexity exploded with wondrous new potential. Fast forward to human evolution, and a tension that had existed for billions of years now played out in an unprecedented arena of conscious calculation and cultural diversity. Cooperation interleaving with competition; intimacy oscillating with integrity—we dwell in a world where yin meets yang in human affairs on many levels. In The Fractal Self, John Culliney and David Jones uncover surprising intersections between science and philosophy. Connecting evidence from evolutionary science with early insights of Daoist and Buddhist thinkers, among others, they maintain that sagely behavior, envisioned in these ancient traditions, represents a pinnacle of human achievement emerging out of our evolutionary heritage. They identify an archetype, “the fractal self,” a person in any walk of life who cultivates a cooperative spirit. A fractal self is a sage in training, who joins others in common cause, leads from within, and achieves personal satisfaction in coordinating smooth performance of the group, team, or institution in which he or she is embedded. Fractal selves commonly operate with dedication and compassionate practice in the service of human society or in conserving our planet. But the competitive side of human nature is susceptible to greed and aggression. Self-aggrandizement, dictatorial power, and ego-driven enforcement of will are the goals of those following a self-serving path—individuals the authors identify as antisages. Terrorist leaders are an especially murderous breed, but aggrandizers can be found throughout business, religion, educational institutions, and governments. Humanity has reached an existential tipping point: will the horizon already in view expand with cooperative progress toward godlike emergent opportunities or contract in the thrall of corrupt oligarchs and tribal animosities? We have brought ourselves to a chaotic edge between immense promise and existential danger and are even now making our greatest choice.

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.

Fractal Physiology

Fractal Physiology PDF

Author: James B Bassingthwaighte

Publisher: Springer

Published: 2013-05-27

Total Pages: 371

ISBN-13: 1461475724

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I know that most men, including those at ease with the problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives. Joseph Ford quoting Tolstoy (Gleick, 1987) We are used to thinking that natural objects have a certain form and that this form is determined by a characteristic scale. If we magnify the object beyond this scale, no new features are revealed. To correctly measure the properties of the object, such as length, area, or volume, we measure it at a resolution finer than the characteristic scale of the object. We expect that the value we measure has a unique value for the object. This simple idea is the basis of the calculus, Euclidean geometry, and the theory of measurement. However, Mandelbrot (1977, 1983) brought to the world's attention that many natural objects simply do not have this preconceived form. Many of the structures in space and processes in time of living things have a very different form. Living things have structures in space and fluctuations in time that cannot be characterized by one spatial or temporal scale. They extend over many spatial or temporal scales.

Learning C with Fractals

Learning C with Fractals PDF

Author: Roger T. Stevens

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 342

ISBN-13: 148327781X

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Learning C with Fractals provides the fundamentals of the C programming language and the generation of fractals. The book is comprised of 21 chapters that discuss the aspects of the C programming language. The text begins with an introductory chapter that provides the basic hardware requirements and basic information to get the student started. Subsequent chapters tackle the writing and compiling of C programs; the main program and functions; the program's interaction with DOS (Disk Operating System); and the operators and expressions in C. Topics on initializing variables, conditional statements, manipulating strings, and the different programming functions are covered as well. Computer programmers and those interested in learning computer programming will find the book useful.

Chaos Bifurcations and Fractals Around Us

Chaos Bifurcations and Fractals Around Us PDF

Author: Wanda Szempli?ska-Stupnicka

Publisher: World Scientific

Published: 2003

Total Pages: 118

ISBN-13: 9789812564375

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During the last twenty years, a large number of books on nonlinearchaotic dynamics in deterministic dynamical systems haveappeared. These academic tomes are intended for graduate students andrequire a deep knowledge of comprehensive, advanced mathematics.

Elegant Fractals

Elegant Fractals PDF

Author: Julien Clinton Sprott

Publisher: World Scientific Publishing

Published: 2018-11-13

Total Pages: 268

ISBN-13: 9813237155

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Fractals are intricate geometrical forms that contain miniature copies of themselves on ever smaller scales. This colorful book describes methods for producing an endless variety of fractal art using a computer program that searches through millions of equations looking for those few that can produce images having aesthetic appeal. Over a hundred examples of such images are included with a link to the software that produced these images, and can also produce many more similar fractals. The underlying mathematics of the process is also explained in detail. Other books by the author that could be of interest to the reader are Elegant Chaos: Algebraically Simple Chaotic Flows (J C Sprott, 2010) and Elegant Circuits: Simple Chaotic Oscillators (J C Sprott and W J Thio, 2020).