Fractalize That

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Fractalize That! : A Visual Essay On Statistical Geometry

Author : John Shier
Publisher : World Scientific Publishing
ISBN 13 : 9813275189
Total Pages : 124 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Fractalize That! : A Visual Essay On Statistical Geometry by : John Shier

Download or read book Fractalize That! : A Visual Essay On Statistical Geometry written by John Shier and published by World Scientific Publishing. This book was released on 2018-11-22 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractalize That! A Visual Essay on Statistical Geometry brings a new class of geometric fractals to a wider audience of mathematicians and scientists. It describes a recently discovered random fractal space-filling algorithm. Connections with tessellations and known fractals such as Sierpinski are developed. And, the mathematical development is illustrated by a large number of colorful images that will charm the readers.The algorithm claims to be universal in scope, in that it can fill any spatial region with smaller and smaller fill regions of any shape. The filling is complete in the limit of an infinite number of fill regions. This book presents a descriptive development of the subject using the traditional shapes of geometry such as discs, squares, and triangles. It contains a detailed mathematical treatment of all that is currently known about the algorithm, as well as a chapter on software implementation of the algorithm.The mathematician will find a wealth of interesting conjectures supported by numerical computation. Physicists are offered a model looking for an application. The patterns generated are often quite interesting as abstract art. Readers can also create these computer-generated art with the advice and examples provided.

The Fractal Geometry of Nature

Author : Benoit Mandelbrot
Publisher : Echo Point Books & Media, LLC
ISBN 13 : 9781648370410
Total Pages : 0 pages
Book Rating : 4.3/5 (74 download)

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Book Synopsis The Fractal Geometry of Nature by : Benoit Mandelbrot

Download or read book The Fractal Geometry of Nature written by Benoit Mandelbrot and published by Echo Point Books & Media, LLC. This book was released on 2021-07-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique style, and rich illustrations will inspire readers of all backgrounds.

Fractal Creations

Author : Timothy I. Wegner
Publisher :
ISBN 13 : 9781878739346
Total Pages : 524 pages
Book Rating : 4.7/5 (393 download)

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Book Synopsis Fractal Creations by : Timothy I. Wegner

Download or read book Fractal Creations written by Timothy I. Wegner and published by . This book was released on 1993 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new, more powerful version of FRACTINT--an ingenious program that works like a combination fractal microscope, paint program, and lab bench. Enables users to create any of 95 built-in fractals or type in their own fractal formulas to create completely original patterns. With two companion disks and red/blue 3D glasses. color insert.

Measure, Topology, and Fractal Geometry

Author : Gerald A. Edgar
Publisher : Springer Science & Business Media
ISBN 13 : 1475741340
Total Pages : 252 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Measure, Topology, and Fractal Geometry by : Gerald A. Edgar

Download or read book Measure, Topology, and Fractal Geometry written by Gerald A. Edgar and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal". Starting with Benoit Mandelbrot's remarkable text The Fractal Geometry of Nature, there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented high- school students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. However, the book also contains many good illustrations of fractals (including 16 color plates), together with Logo programs which were used to generate them. ... Here then, at last, is an answer to the question on the lips of so many: 'What exactly is a fractal?' I do not expect many of this book's readers to achieve a mature understanding of this answer to the question, but anyone interested in finding out about the mathematics of fractal geometry could not choose a better place to start looking." #Mathematics Teaching#1

The Baudelaire Fractal

Author : Lisa Robertson
Publisher : Coach House Books
ISBN 13 : 1770566023
Total Pages : 137 pages
Book Rating : 4.7/5 (75 download)

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Book Synopsis The Baudelaire Fractal by : Lisa Robertson

Download or read book The Baudelaire Fractal written by Lisa Robertson and published by Coach House Books. This book was released on 2020-02-04 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: The debut novel by acclaimed poet Lisa Robertson, in which a poet realizes she's written the works of Baudelaire. One morning, Hazel Brown awakes in a badly decorated hotel room to find that she’s written the complete works of Charles Baudelaire. In her bemusement the hotel becomes every cheap room she ever stayed in during her youthful perambulations in 1980s Paris. This is the legend of a she-dandy’s life. Part magical realism, part feminist ars poetica, part history of tailoring, part bibliophilic anthem, part love affair with nineteenth-century painting, The Baudelaire Fractal is poet and art writer Lisa Robertson’s first novel. "Robertson, with feminist wit, a dash of kink, and a generous brain, has written an urtext that tenders there can be, in fact, or in fiction, no such thing. Hers is a boon for readers and writers, now and in the future."—Jennifer Krasinski, Bookforum "It’s brilliant, strange, and unlike anything I’ve read before."—Rebecca Hussey, BOOKRIOT

Fractal Shores

Author : Diane Louie
Publisher : University of Georgia Press
ISBN 13 : 082035791X
Total Pages : 76 pages
Book Rating : 4.8/5 (23 download)

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Book Synopsis Fractal Shores by : Diane Louie

Download or read book Fractal Shores written by Diane Louie and published by University of Georgia Press. This book was released on 2020-10-15 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Carlo Rovelli, Italian physicist, says that "the world is not a collection of things, it is a collection of events." Poet Diane Louie thinks of prose poems as little events. They are happening and happenings. They draw on experience, image, metaphor, and all the properties of language to create little worlds-in-motion: spinning while orbiting, actively shifting our point of view. More genus than hybrid species, prose poems can straddle the obvious limits and less-obvious liberties of perception. This active characteristic of spanning and connecting is especially relevant in a time of cultural polarization. Marrying, even uneasily, the inquiries of science and spiritual longing can illuminate what they—and we—have in common: a desire to understand our presence in a universe that does not yield ultimate answers.

Fractal Physiology

Author : James B Bassingthwaighte
Publisher : Springer
ISBN 13 : 1461475724
Total Pages : 371 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Fractal Physiology by : James B Bassingthwaighte

Download or read book Fractal Physiology written by James B Bassingthwaighte and published by Springer. This book was released on 2013-05-27 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractal Cities

Author : Michael Batty
Publisher :
ISBN 13 : 9780124555709
Total Pages : 394 pages
Book Rating : 4.5/5 (557 download)

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Book Synopsis Fractal Cities by : Michael Batty

Download or read book Fractal Cities written by Michael Batty and published by . This book was released on 1994-01-01 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal Cities is the pioneering study of the development and use of fractal geometry for understanding and planning the physical form of cities, showing how this geometry enables cities to be simulated throughcomputer graphics. The book explains how the structure of cities evolve in ways which at first sight may appear irregular, but when understood in terms of fractals reveal a complex and diverse underlying order. The book includes numerous illustrations and 16 pages full-color plates of stunning computer graphics, along with explanations of how to construct them. The authors provide an accessible and thought-provoking introduction to fractal geometry, as well as an exciting visual understanding of the formof cities. This approach, bolstered by new insights into the complexity of social systems, provides one of the best introductions to fractal geometry available for non-mathematicians and social scientists. Fractal Cities is useful as a textbook for courses on geographic information systems, urban geography, regional science, and fractal geometry. Planners and architects will find that many aspects of fractal geometry covered in this book are relevant to their own interests. Those involved in fractals and chaos, computer graphics, and systems theory will also find important methods and examples germane to their work. Michael Batty is Director of the National Center for Geographic Information and analysis in the State University of New York at Buffalo, and has worked in planning theory and urban modeling. Paul Longley is a lecturer in geography at the University of Bristol, and is involved in the development of geographic information systems in urban policy analysis. Richly illustrated, including 16 pages of full-color plates of brilliant computer graphics Provides an introduction to fractal geometry for the non-mathematician and social scientist Explains the influence of fractals on the evolution of the physical form of cities

Fractal Geometries Theory and Applications

Author : Alain Le Mehaute
Publisher : CRC Press
ISBN 13 : 9780849377228
Total Pages : 214 pages
Book Rating : 4.3/5 (772 download)

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Book Synopsis Fractal Geometries Theory and Applications by : Alain Le Mehaute

Download or read book Fractal Geometries Theory and Applications written by Alain Le Mehaute and published by CRC Press. This book was released on 1991-11-11 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry, based on recursive mathematical schemas, provides a means for modeling a great number of natural phenomena. For this reason, it is of increasing interest to physicists, chemists, biologists, and geographers, among others. A major quality of fractality is that it not only unifies phenomena previously thought to be anomalous or disparate in a single theoretical framework, but it also promotes a return to graphical treatment, which had been almost completely banished from scientific thought in favor of analysis. This book casts a new, lively light on scientific territories still not fully explored. It is designed for research workers, engineers, and experimentalists faced with problems of measure and action in heterogenous materials and environments. Several color plates illustrate the implications and consequences of this theory for most of the questions raised by the taking into consideration of time in a fractal space.

Fractal 3D Magic

Author :
Publisher : Sterling Publishing Company Incorporated
ISBN 13 : 9781454912637
Total Pages : 155 pages
Book Rating : 4.9/5 (126 download)

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Book Synopsis Fractal 3D Magic by :

Download or read book Fractal 3D Magic written by and published by Sterling Publishing Company Incorporated. This book was released on 2014-08-14 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filled with more than 200 intricate and eye-popping 3D designs, which can be viewed with the accompanying 3D glasses, a rare glimpse into the world of computer-generated fractal art provides background on everything from the classic Mandelbrot set to ethereal fractal flames. Original.

The Fractal Self

Author : John L. Culliney
Publisher : University of Hawaii Press
ISBN 13 : 0824866649
Total Pages : 257 pages
Book Rating : 4.8/5 (248 download)

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Book Synopsis The Fractal Self by : John L. Culliney

Download or read book The Fractal Self written by John L. Culliney and published by University of Hawaii Press. This book was released on 2017-07-31 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractal Concepts in Surface Growth

Author : A.- L. Barabási
Publisher : Cambridge University Press
ISBN 13 : 9780521483186
Total Pages : 392 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Fractal Concepts in Surface Growth by : A.- L. Barabási

Download or read book Fractal Concepts in Surface Growth written by A.- L. Barabási and published by Cambridge University Press. This book was released on 1995-04-13 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together two of the most exciting and widely studied subjects in modern physics: namely fractals and surfaces. To the community interested in the study of surfaces and interfaces, it brings the concept of fractals. To the community interested in the exciting field of fractals and their application, it demonstrates how these concepts may be used in the study of surfaces. The authors cover, in simple terms, the various methods and theories developed over the past ten years to study surface growth. They describe how one can use fractal concepts successfully to describe and predict the morphology resulting from various growth processes. Consequently, this book will appeal to physicists working in condensed matter physics and statistical mechanics, with an interest in fractals and their application. The first chapter of this important new text is available on the Cambridge Worldwide Web server: http://www.cup.cam.ac.uk/onlinepubs/Textbooks/textbookstop.html

Fractal Cosmos

Author : Jeff Berkowitz
Publisher :
ISBN 13 : 9781569370643
Total Pages : 0 pages
Book Rating : 4.3/5 (76 download)

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Book Synopsis Fractal Cosmos by : Jeff Berkowitz

Download or read book Fractal Cosmos written by Jeff Berkowitz and published by . This book was released on 1994 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fractal Cosmos Calendar has been the most successful calendar for Amber Lotus. Over the years, Amber Lotus has published the development in Fractal Art. Now, Amber Lotus publishes FRactal Images by Lifesmith, including an introductory text, a brief history as well as the mechanics of mathematical art. The book includes 350 color images of popular designs in modern fractals. Amber Lotus also publishes Fractal Arts as greeting cards, wrapping paper, calendars, and blank journals.

Fractal Cuts

Author : Diego Uribe
Publisher :
ISBN 13 : 9780906212882
Total Pages : 0 pages
Book Rating : 4.2/5 (128 download)

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Book Synopsis Fractal Cuts by : Diego Uribe

Download or read book Fractal Cuts written by Diego Uribe and published by . This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Endlessly developing pop-up designs which belong to the class of curious geometrical objects called fractals.

Fractal Analysis

Author : Clifford Brown
Publisher : SAGE Publications
ISBN 13 : 148334312X
Total Pages : 113 pages
Book Rating : 4.4/5 (833 download)

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Book Synopsis Fractal Analysis by : Clifford Brown

Download or read book Fractal Analysis written by Clifford Brown and published by SAGE Publications. This book was released on 2010-04-14 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: A specialized presentation of fractal analysis oriented to the social sciences This primer uses straightforward language to give the reader step-by-step instructions for identifying and analyzing fractal patterns and the social process that create them. By making fractals accessible to the social science students, this book has a significant impact on the understanding of human behavior. This is the only book designed to introduce fractal analysis to a general social science audience.

The Science of Fractal Images

Author : Heinz-Otto Peitgen
Publisher : Springer Science & Business Media
ISBN 13 : 146123784X
Total Pages : 328 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Science of Fractal Images by : Heinz-Otto Peitgen

Download or read book The Science of Fractal Images written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on notes for the course Fractals:lntroduction, Basics and Perspectives given by MichaelF. Barnsley, RobertL. Devaney, Heinz-Otto Peit gen, Dietmar Saupe and Richard F. Voss. The course was chaired by Heinz-Otto Peitgen and was part of the SIGGRAPH '87 (Anaheim, California) course pro gram. Though the five chapters of this book have emerged from those courses we have tried to make this book a coherent and uniformly styled presentation as much as possible. It is the first book which discusses fractals solely from the point of view of computer graphics. Though fundamental concepts and algo rithms are not introduced and discussed in mathematical rigor we have made a serious attempt to justify and motivate wherever it appeared to be desirable. Ba sic algorithms are typically presented in pseudo-code or a description so close to code that a reader who is familiar with elementary computer graphics should find no problem to get started. Mandelbrot's fractal geometry provides both a description and a mathemat ical model for many of the seemingly complex forms and patterns in nature and the sciences. Fractals have blossomed enormously in the past few years and have helped reconnect pure mathematics research with both natural sciences and computing. Computer graphics has played an essential role both in its de velopment and rapidly growing popularity. Conversely, fractal geometry now plays an important role in the rendering, modelling and animation of natural phenomena and fantastic shapes in computer graphics.

Fractal

Author : Helmut Meijer
Publisher :
ISBN 13 : 9781951985905
Total Pages : 210 pages
Book Rating : 4.9/5 (859 download)

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Book Synopsis Fractal by : Helmut Meijer

Download or read book Fractal written by Helmut Meijer and published by . This book was released on 2021-03-04 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal is a riveting autobiography of award-winning South African composer Helmut Meijer, as well as an introduction to the Ancient Hebrew language, born after three heart interventions which altered his course of direction.