Power of Patterns: Fractals 6-Pack PDF Download
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Author: Theo Buchanan
Publisher: Teacher Created Materials
ISBN: 1493837168
Category : Young Adult Nonfiction
Languages : en
Pages : 51
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Book Description
Fractals are defined as shapes that exhibit self-similarity and high complexity. These shapes appear in many different forms throughout nature. This high-interest nonfiction reader introduces students to fractals, and teaches them new concepts and vocabulary terms including fractal compression, Mandelbrot set, constructual law, logarithmic spiral, Archimedean spiral, dendritic patterns, and venation patterns on leaves. Developed by Timothy Rasinski-a leading expert in reading research-this purposefully leveled text guides students to increased fluency and comprehension of nonfiction text. The complex text structure adds rigor and allows students to delve deeply into the subject matter. The images support the text in abstract ways to challenge students to think more deeply about the topics and develop their higher-order thinking skills. Informational text features include a table of contents, sidebars, captions, bold font, an extensive glossary, and a detailed index to further understanding and build academic vocabulary. The Reader's Guide and Try It! culminating activity require students to connect back to the text, and provide opportunities for additional language-development activities. Aligned with state standards, this text connects with McREL, WIDA/TESOL standards and prepares students for college and career. This 6-Pack includes six copies of this title and a lesson plan.
Author: Theo Buchanan
Publisher: Teacher Created Materials
ISBN: 1493837168
Category : Young Adult Nonfiction
Languages : en
Pages : 51
Get Book Here
Book Description
Fractals are defined as shapes that exhibit self-similarity and high complexity. These shapes appear in many different forms throughout nature. This high-interest nonfiction reader introduces students to fractals, and teaches them new concepts and vocabulary terms including fractal compression, Mandelbrot set, constructual law, logarithmic spiral, Archimedean spiral, dendritic patterns, and venation patterns on leaves. Developed by Timothy Rasinski-a leading expert in reading research-this purposefully leveled text guides students to increased fluency and comprehension of nonfiction text. The complex text structure adds rigor and allows students to delve deeply into the subject matter. The images support the text in abstract ways to challenge students to think more deeply about the topics and develop their higher-order thinking skills. Informational text features include a table of contents, sidebars, captions, bold font, an extensive glossary, and a detailed index to further understanding and build academic vocabulary. The Reader's Guide and Try It! culminating activity require students to connect back to the text, and provide opportunities for additional language-development activities. Aligned with state standards, this text connects with McREL, WIDA/TESOL standards and prepares students for college and career. This 6-Pack includes six copies of this title and a lesson plan.
Author: Manfred Schroeder
Publisher: Courier Corporation
ISBN: 0486472043
Category : Science
Languages : en
Pages : 450
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Book Description
This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author -- hailed by Publishers Weekly as a modern Lewis Carroll -- conveys memorable insights in the form of puns and puzzles. 1992 edition.
Author: Myke Johnson
Publisher: Lulu.com
ISBN: 1365566862
Category : Nature
Languages : en
Pages : 181
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Book Description
In this time of ecological crisis, all that is holy calls us into a more intimate partnership with the diverse and beautiful beings of this earth. In Finding Our Way Home, Myke Johnson reflects on her personal journey into such a partnership and offers a guide for others to begin this path. Lyrically expressed, it weaves together lessons from a chamomile flower, a small bird, a copper beech tree, a garden slug, and a forest fern, along with insights from Indigenous philosophy, environmental science, fractal geometry, childhood Catholic mysticism, the prophet Elijah, fairy tales, and permaculture design. This eco-spiritual journey also wrestles with the history of our society's destruction of the natural world, and its roots in the original theft of the land from Indigenous peoples. Exploring the spiritual dimensions of our brokenness, it offers tools to create healing. Finding Our Way Home is a ceremony to remember our essential unity with all of life.
Author: Christopher J. Bishop
Publisher: Cambridge University Press
ISBN: 1107134110
Category : Mathematics
Languages : en
Pages : 415
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Book Description
A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.
Author: Rudy Rucker
Publisher: Courier Corporation
ISBN: 0486492281
Category : Computers
Languages : en
Pages : 337
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Book Description
Originally published: Boston: Houghton Mifflin, 1987.
Author: Benoit B. Mandelbrot
Publisher: Profile Books
ISBN: 1847651550
Category : Business & Economics
Languages : en
Pages : 352
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Book Description
This international bestseller, which foreshadowed a market crash, explains why it could happen again if we don't act now. Fractal geometry is the mathematics of roughness: how to reduce the outline of a jagged leaf or static in a computer connection to a few simple mathematical properties. With his fractal tools, Mandelbrot has got to the bottom of how financial markets really work. He finds they have a shifting sense of time and wild behaviour that makes them volatile, dangerous - and beautiful. In his models, the complex gyrations of the FTSE 100 and exchange rates can be reduced to straightforward formulae that yield a much more accurate description of the risks involved.
Author: John Shier
Publisher: World Scientific Publishing
ISBN: 9813275189
Category : Mathematics
Languages : en
Pages : 124
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Book Description
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.
Author: Rose Arny
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 1592
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Book Description
Author: Michael Frame
Publisher: World Scientific
ISBN: 9811218471
Category : Young Adult Nonfiction
Languages : en
Pages : 468
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Book Description
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.
Author: Jeffrey Ventrella
Publisher: Lulu.com
ISBN: 0983054622
Category : Computers
Languages : en
Pages : 206
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Book Description
* A lovingly-crafted visual expedition, lead by a lifelong fractal wizard with an obsession for categorizing fractal species * Hundreds of beautiful color images * An in-depth taxonomy of Koch-constructed Fractal Curves * An intuitive introduction to Koch construction * A must-read for anyone interested in fractal geometry
