Elegant Fractals
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Elegant Fractals
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Author : Julien Clinton Sprott
language : en
Publisher: World Scientific Publishing
Release Date : 2018-11-13
Elegant Fractals written by Julien Clinton Sprott and has been published by World Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-13 with Computers categories.
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).
Elegant Fractals
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Author : Julien C. Sprott
language : en
Publisher:
Release Date : 2019
Elegant Fractals written by Julien C. Sprott and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with ART categories.
Mysterious Patterns
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Author : Sarah C. Campbell
language : en
Publisher: Astra Publishing House
Release Date : 2023-08-08
Mysterious Patterns written by Sarah C. Campbell and has been published by Astra Publishing House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-08 with Juvenile Nonfiction categories.
Nature's repeating patterns, better known as fractals, are beautiful, universal, and explain much about how things grow. Fractals can also be quantified mathematically. Here is an elegant introduction to fractals through examples that can be seen in parks, rivers, and our very own backyards. Young readers will be fascinated to learn that broccoli florets are fractals—just like mountain ranges, river systems, and trees—and will share in the wonder of math as it is reflected in the world around us. Perfect for any elementary school classroom or library, Mysterious Patterns is an exciting interdisciplinary introduction to repeating patterns.
Fractals
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Author : John Briggs
language : en
Publisher: Simon and Schuster
Release Date : 1992
Fractals written by John Briggs and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Art categories.
Explains the significance and beauty of fractals using over 170 illustrations.
Fractals And Hyperspaces
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Author : Keith R. Wicks
language : en
Publisher: Springer
Release Date : 2006-11-14
Fractals And Hyperspaces written by Keith R. Wicks and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Addressed to all readers with an interest in fractals, hyperspaces, fixed-point theory, tilings and nonstandard analysis, this book presents its subject in an original and accessible way complete with many figures. The first part of the book develops certain hyperspace theory concerning the Hausdorff metric and the Vietoris topology, as a foundation for what follows on self-similarity and fractality. A major feature is that nonstandard analysis is used to obtain new proofs of some known results much more slickly than before. The theory of J.E. Hutchinson's invariant sets (sets composed of smaller images of themselves) is developed, with a study of when such a set is tiled by its images and a classification of many invariant sets as either regular or residual. The last and most original part of the book introduces the notion of a "view" as part of a framework for studying the structure of sets within a given space. This leads to new, elegant concepts (defined purely topologically) of self-similarity and fractality: in particular, the author shows that many invariant sets are "visually fractal", i.e. have infinite detail in a certain sense. These ideas have considerable scope for further development, and a list of problems and lines of research is included.
Alt Fractals
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Author : Eric Baird
language : en
Publisher: Chocolate Tree Books
Release Date : 2011
Alt Fractals written by Eric Baird and has been published by Chocolate Tree Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Design categories.
"Where most books on fractals concentrate on mathematical theory, Alt. Fractals takes a graphical approach. starting with the fractal "standards"--The Sierpinski Triangle and Pyramid, Menger Sponge, Julia Mandelbrot sets - Alt. Fractals explores the world of variations one step removed from the usual textbook versions."--Back cover.
From Fractals And Cellular Automata To Biology Information As Order Hidden Within Chance
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Author : Alberto Strumia
language : en
Publisher: World Scientific
Release Date : 2020-07-02
From Fractals And Cellular Automata To Biology Information As Order Hidden Within Chance written by Alberto Strumia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-02 with Science categories.
The didactical level of exposition, together with many astonishing images and animations, accompanied by the related simple computer programming codes (in Python and POV-Ray languages) make this book an extremely and unique useful tool to test the power of algorithmic information in generating ordered structure models (2D and 3D) like regular geometric shapes, complex shapes like fractals and cellular automata, and biological systems as the organs of a living body. Informational biologists besides mathematicians and physicists of complexity may learn to test their own capabilities in programming and modelling ordered structures starting from random initial conditions at different scale of each system: from elementary particles, to biological systems, to galaxies and the whole universe. Moreover the philosophical comments comparing some aspects of modern information theory to the Aristotelian notion of 'form are very appealing also for the epistemologist and the philosopher involved in complexity matters.
Kitchen Science Fractals A Lab Manual For Fractal Geometry
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Author : Michael Frame
language : en
Publisher: World Scientific
Release Date : 2021-10-04
Kitchen Science Fractals A Lab Manual For Fractal Geometry written by Michael Frame and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-04 with Young Adult Nonfiction categories.
This book provides a collection of 44 simple computer and physical laboratory experiments, including some for an artist's studio and some for a kitchen, that illustrate the concepts of fractal geometry. In addition to standard topics — iterated function systems (IFS), fractal dimension computation, the Mandelbrot set — we explore data analysis by driven IFS, construction of four-dimensional fractals, basic multifractals, synchronization of chaotic processes, fractal finger paints, cooking fractals, videofeedback, and fractal networks of resistors and oscillators.
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.
Gnomon
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Author : Midhat J. Gazalé
language : en
Publisher: Princeton University Press
Release Date : 1999
Gnomon written by Midhat J. Gazalé and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Fractals categories.
The author "explains the properties of gnomons [self-repeating shapes], traces their long and colorful history in human thought, and explores the mathematical and geometrical marvels they make possible."--Jacket.