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An Eye For Fractals


An Eye For Fractals
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An Eye For Fractals


An Eye For Fractals
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Author : Michael Mcguire
language : en
Publisher: Addison-Wesley Longman
Release Date : 1991-07-21

An Eye For Fractals written by Michael Mcguire and has been published by Addison-Wesley Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-07-21 with Computers categories.


Fractional geometry posits that a natural visual complexity can arise from iteration of simple rules and simple shapes. An Eye for Fractals is a fascinating study of the converse premise: that nature's complexity implies an underlying simplicity that can be traced back to fractal geometry.The book effectively integrates art with science, illustrating the natural occurrence of mathematics and geometry in lava flows, kelp beds, cloud formations and aspen groves. The book is enhanced with more than 150 photographs and drawings, including some color illustrations. An Eye for Fractals is a beautiful introduction to fractal geometry, a graphic, visual approach that should appeal to all who feel the fascination of this artful mathematics.



Heaven S Fractal Net


Heaven S Fractal Net
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Author : William J. Jackson
language : en
Publisher: Wipf and Stock Publishers
Release Date : 2022-09-26

Heaven S Fractal Net written by William J. Jackson and has been published by Wipf and Stock Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-26 with Philosophy categories.


Heaven's Fractal Net explores the uniquely useful geometrical forms found in nature and in cultures of the world. The visual shapes of fractals attract eyes with their fascinating beauty. They appear in images and designs with reiterated patterns whose parts are self-similar to the whole pattern--just as a fern frond is structured with smaller and smaller self-similar branches. The fractal-like imagery in religious architecture has been used to symbolize infinity, consciousness, vertigo, and wonder. In nature fractals serve as dynamic configurations for circulation, including the branching shapes of trees and lungs, rivers and nerves. A wealth of fractal examples is found in arts, symbols, and decorations. Heaven's Fractal Net is a book which explores self-similarities in worldwide cultures, providing a rich background for examining many geometrical shapes used by humanity, exploring processes of creativity in wisdom traditions, and delving into archetypal images in depth psychology. Fractals offer an organizing principle for many different kinds of hierarchies and composites, and in recent years "fractal" has become a familiar household word for a new yet ancient geometry.



Fractals


Fractals
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Author : Jack Cleveland
language : en
Publisher:
Release Date : 2020-11-28

Fractals written by Jack Cleveland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-28 with categories.


This is a book for art lovers, designers, and art-loving techies everywhere. A coffee-table art book filled with lush art plates that speak to the senses, the fractal images within reflect the beauty and mystery of the natural world, and demonstrate the power of computer-aided design in creating original works of art. This Limited Collector's Edition book is available exclusively through the Anamcara Press website in sizes suitable for framing.A fractal is essentially a never-ending, repeating pattern. Fractal geometry can reflect and illuminate structures and patterns found in nature-from mountains, coastlines, and hurricanes to movements of the stock market over time. Perhaps, fractals can be seen to represent a metaphor for our chaotic times as we attempt to understand the processes and structures which are manifest in the chaos and ineffable beauty of our ever-changing and dynamic natural world.



Fractals And Chaos


Fractals And Chaos
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Author : Benoit Mandelbrot
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Fractals And Chaos written by Benoit Mandelbrot 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 2013-06-29 with Mathematics categories.


Just 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure. Of historical interest are some early images of this fractal object produced with a crude dot-matrix printer. The text includes some items not previously published.



The Fractal Geometry Of The Brain


The Fractal Geometry Of The Brain
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Author : Antonio Di Ieva
language : en
Publisher: Springer
Release Date : 2024-01-16

The Fractal Geometry Of The Brain written by Antonio Di Ieva and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-16 with Medical categories.


The new edition of the highly popular, The Fractal Geometry of the Brain, reviews the most intriguing applications of fractal analysis in neuroscience with a focus on current and future potential, limits, advantages, and disadvantages. It brings an understanding of fractals to clinicians and researchers even if they do not have a mathematical background, and it serves as a valuable tool for teaching the translational applications of computational fractal-based models to both students and scholars. As a consequence of the novel research developed at Professor Di Ieva's laboratory and other centers around the world, the second edition will explore the use of computational fractal-based analysis in many clinical disciplines and different fields of research, including neurology and neurosurgery, neuroanatomy and psychology, magnetoencephalography (MEG), eye-tracking devices (for the fractal computational characterization of “scanpaths”), deep learning in image analysis, radiomics for the characterization of brain MRIs, characterization of neuropsychological and psychiatric diseases and traits, signal complexity analysis in time series, and functional MRI, amongst others.



Fractal Dimensions


Fractal Dimensions
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Author : Eric Hammel
language : en
Publisher: IPS Books
Release Date : 2014-08-22

Fractal Dimensions written by Eric Hammel and has been published by IPS Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-22 with Art categories.


The concept behind fractal geometry is extremely difficult to explain . . . but easy to see and enjoy. Eric Hammel, a professional author of military history books, is unable to explain fractals in a way that will be clear to anyone else, but most mathematicians canÕt explain fractals in language most people can understand. The simplest explanation is that fractals are graphic representations of high-order mathematical formulas that repeat patterns to infinity. DonÕt get hung up on the math. ItÕs really all in the seeing. Like Volumes 1 through 4 of Eric HammelÕs Fractal Dimensions, Volume 5 is filled with one hundred examples representing many types of fractals. The differences between and among fractal artists using the same array of fractal-generating software is the same as the differences between and among all portrait artists or between and among all landscape artists using oil paint, chalk, watercolors, charcoal, even fingers. It all comes down to the unique mindÕs eye the artist brings to the game and what he does to improve or transform the art once the fractal-generating software has been sufficiently exploited. For all that, all a lay person really needs to appreciate fractals in their infinite varieties is a collection of fractal art to peruse, to get lost in for awhile, and their own preferences for art. No two fractal artists will see or exploit the same fractal formula the same way. What we offer here is simply what one fractal artist has been able to see, and what he alone decided he wants to share.



Fractals In Science


Fractals In Science
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Author : Eugene Stanley
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Fractals In Science written by Eugene Stanley 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 2012-12-06 with Mathematics categories.


Nature is full of spidery patterns: lightning bolts, coastlines, nerve cells, termite tunnels, bacteria cultures, root systems, forest fires, soil cracking, river deltas, galactic distributions, mountain ranges, tidal patterns, cloud shapes, sequencing of nucleotides in DNA, cauliflower, broccoli, lungs, kidneys, the scraggly nerve cells that carry signals to and from your brain, the branching arteries and veins that make up your circulatory system. These and other similar patterns in nature are called natural fractals or random fractals. This chapter contains activities that describe random fractals. There are two kinds of fractals: mathematical fractals and natural (or random) fractals. A mathematical fractal can be described by a mathematical formula. Given this formula, the resulting structure is always identically the same (though it may be colored in different ways). In contrast, natural fractals never repeat themselves; each one is unique, different from all others. This is because these processes are frequently equivalent to coin-flipping, plus a few simple rules. Nature is full of random fractals. In this book you will explore a few of the many random fractals in Nature. Branching, scraggly nerve cells are important to life (one of the patterns on the preceding pages). We cannot live without them. How do we describe a nerve cell? How do we classify different nerve cells? Each individual nerve cell is special, unique, different from every other nerve cell. And yet our eye sees that nerve cells are similar to one another.



The Beauty Of Fractals


The Beauty Of Fractals
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Author : Denny Gulick
language : en
Publisher: MAA
Release Date : 2010

The Beauty Of Fractals written by Denny Gulick and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.


The Beauty of Fractals includes six essays related to fractals, with perspectives different enough to give you a taste of the breadth of the subject. Each essay is self-contained and expository. Moreover, each of the essays is intended to be accessible to a broad audience that includes college teachers, high school teachers, advanced undergraduate students, and others who wish to learn or teach about topics in fractals that are not regularly in textbooks on fractals.



Fractal Dimensions


Fractal Dimensions
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Author : Eric Hammel
language : en
Publisher: IPS Books
Release Date : 2014-08-22

Fractal Dimensions written by Eric Hammel and has been published by IPS Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-22 with Art categories.


The concept behind fractal geometry is extremely difficult to explain . . . but easy to see and enjoy. Eric Hammel, a professional author of military history books, is unable to explain fractals in a way that will be clear to anyone else, but most mathematicians can’t explain fractals in language most people can understand. The simplest explanation is that fractals are graphic representations of high-order mathematical formulas that repeat patterns to infinity. Don’t get hung up on the math. It’s really all in the seeing. Like Volumes 1, 2, and 3 of Eric Hammel’s Fractal Dimensions, Volume 4 is filled with one hundred examples representing many types of fractals. The differences between and among fractal artists using the same array of fractal-generating software is the same as the differences between and among all portrait artists or between and among all landscape artists using oil paint, chalk, watercolors, charcoal, even fingers. It all comes down to the unique mind’s eye the artist brings to the game and what he does to improve or transform the art once the fractal-generating software has been sufficiently exploited. For all that, all a lay person really needs to appreciate fractals in their infinite varieties is a collection of fractal art to peruse, to get lost in for awhile, and their own preferences for art. No two fractal artists will see or exploit the same fractal formula the same way. What we offer here is simply what one fractal artist has been able to see, and what he alone decided he wants to share.



Fractal Dimensions


Fractal Dimensions
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Author : Eric Hammel
language : en
Publisher: IPS Books
Release Date : 2014-02-26

Fractal Dimensions written by Eric Hammel and has been published by IPS Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Art categories.


The concept behind fractal geometry is extremely difficult to explain . . . but easy to see and enjoy. Eric Hammel, a professional author of military history books, is unable to explain fractals in a way that will be clear to anyone else, but most mathematicians canÍt explain fractals in language most people can understand. The simplest explanation is that fractals are graphic representations of high-order mathematical formulas that repeat patterns to infinity. DonÍt get hung up on the math. ItÍs really all in the seeing. Volume 1 of Eric HammelÍs Fractal Dimensions is filled with one hundred examples representing many types of fractals. The differences between and among fractal artists using the same array of fractal-generating software is the same as the differences between and among all portrait artists or between and among all landscape artists using oil paint, chalk, watercolors, charcoal, even fingers. It all comes down to the unique mindÍs eye the artist brings to the game and what he does to improve or transform the art once the fractal-generating software has been sufficiently exploited. For all that, all a lay person really needs to appreciate fractals in their infinite varieties is a collection of fractal art to peruse, to get lost in for awhile, and their own preferences for art. No two fractal artists will see or exploit the same fractal formula the same way. What we offer here is simply what one fractal artist has been able to see, and what he alone decided he wants to share.