Kitchen Science Fractals: A Lab Manual For Fractal Geometry

Kitchen Science Fractals: A Lab Manual For Fractal Geometry

Author: Michael Frame

Publisher: World Scientific

Published: 2021-10-04

Total Pages: 468

ISBN-13: 9811218471

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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.


From Fractals And Cellular Automata To Biology: Information As Order Hidden Within Chance

From Fractals And Cellular Automata To Biology: Information As Order Hidden Within Chance

Author: Alberto Strumia

Publisher: World Scientific

Published: 2020-07-02

Total Pages: 329

ISBN-13: 9811217173

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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.


Benoit Mandelbrot: A Life In Many Dimensions

Benoit Mandelbrot: A Life In Many Dimensions

Author: Michael Frame

Publisher: World Scientific

Published: 2015-03-02

Total Pages: 578

ISBN-13: 9814635537

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This is a collection of articles, many written by people who worked with Mandelbrot, memorializing the remarkable breadth and depth of his work in science and the arts. Contributors include mathematicians, physicists, biologists, economists, and engineers, as expected; and also artists, musicians, teachers, an historian, an architect, a filmmaker, and a comic. Some articles are quite technical, others entirely descriptive. All include stories about Benoit.Also included are chapters on fractals and music by Charles Wuorinen and by Harlan Brothers, on fractals and finance by Richard Hudson and by Christian Walter, on fractal invisibility cloaks by Nathan Cohen, and a personal reminiscence by Aliette Mandelbrot.While he is known most widely for his work in mathematics and in finance, Benoit influenced almost every field of modern intellectual activity. No other book captures the breadth of all of Benoit's accomplishments.


Kitchen Science Fractals: A Lab Manual for Fractal Geometry

Kitchen Science Fractals: A Lab Manual for Fractal Geometry

Author: Michael Frame

Publisher: World Scientific Publishing Company

Published: 2021-11-04

Total Pages: 450

ISBN-13: 9789811218927

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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.


Struck by Genius

Struck by Genius

Author: Jason Padgett

Publisher: HMH

Published: 2014-04-22

Total Pages: 268

ISBN-13: 0544045645

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From head trauma to scientific wonder—a “deeply absorbing . . . fascinating” true story of acquired savant syndrome (Entertainment Weekly). Twelve years ago, Jason Padgett had never made it past pre-algebra. But a violent mugging forever altered the way his brain worked. It turned an ordinary math-averse student into an extraordinary young man with a unique gift to see the world as no one else does: water pours from the faucet in crystalline patterns, numbers call to mind distinct geometric shapes, and intricate fractal patterns emerge from the movement of tree branches, revealing the intrinsic mathematical designs hidden in the objects around us. As his ability to understand physics skyrocketed, the “accidental genius” developed the astonishing ability to draw the complex geometric shapes he saw everywhere. Overcoming huge setbacks and embracing his new mind, Padgett “gained a vision of the world that is as beautiful as it is challenging.” Along the way he fell in love, found joy in numbers, and spent plenty of time having his head examined (The New York Times Book Review). Illustrated with Jason’s stunning, mathematically precise artwork, his singular story reveals the wondrous potential of the human brain, and “an incredible phenomenon which points toward dormant potential—a little Rain Man perhaps—within us all” (Darold A. Treffert, MD, author of Islands of Genius: The Bountiful Mind of the Autistic, Acquired, and Sudden Savant). “A tale worthy of Ripley’s Believe It or Not! . . . This memoir sends a hopeful message to families touched by brain injury, autism, or neurological damage from strokes.” —Booklist “How extraordinary it is to contemplate the bizarre gifts that might lie within all of us.” —People


Benoit Mandelbrot

Benoit Mandelbrot

Author: Michael Frame

Publisher: World Scientific Publishing Company Incorporated

Published: 2015

Total Pages: 553

ISBN-13: 9789814366069

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This is a collection of articles, many written by people who worked with Mandelbrot, memorializing the remarkable breadth and depth of his work in science and the arts. Contributors include mathematicians, physicists, biologists, economists, and engineers, as expected; and also artists, musicians, teachers, an historian, an architect, a filmmaker, and a comic. Some articles are quite technical, others entirely descriptive. All include stories about Benoit.Also included are chapters on fractals and music by Charles Wuorinen and by Harlan Brothers, on fractals and finance by Richard Hudson and by Christian Walter, on fractal invisibility cloaks by Nathan Cohen, and a personal reminiscence by Aliette Mandelbrot.While he is known most widely for his work in mathematics and in finance, Benoit influenced almost every field of modern intellectual activity. No other book captures the breadth of all of Benoit's accomplishments.


Math Games Lab for Kids

Math Games Lab for Kids

Author: Rebecca Rapoport

Publisher:

Published: 2017

Total Pages: 147

ISBN-13: 1631592521

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Math is the foundation of all sciences and key to understanding the world around us. Math Games Lab for Kids uses over fifty hands-on activities to make learning a variety of math concepts fun and easy for kids. Make learning math fun by sharing these hands-on labs with your child. Math Games Lab for Kids presents more than 50 activities that incorporate coloring, drawing, games, and making shapes to make math more than just numbers. With Math Games Lab for Kids, kids can: Explore geometry and topology by making prisms, antiprisms, Platonic solids, and M bius strips. Build logic skills by playing and strategizing through tangrams, toothpick puzzles, and the game of Nim. Draw and chart graphs to learn the language of connections. Discover how to color maps like a mathematician by using the fewest colors possible. Create mind bending fractals with straight lines and repeat shapes. And don't worry about running to the store for expensive supplies Everything needed to complete the activities can be found in the book or around the house. Math is more important than ever. Give your child a great experience and solid foundation with Math Games Lab for Kids.


The Fractal Dimension of Architecture

The Fractal Dimension of Architecture

Author: Michael J. Ostwald

Publisher: Birkhäuser

Published: 2016-09-01

Total Pages: 429

ISBN-13: 3319324268

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Fractal analysis is a method for measuring, analysing and comparing the formal or geometric properties of complex objects. In this book it is used to investigate eighty-five buildings that have been designed by some of the twentieth-century’s most respected and celebrated architects. Including designs by Le Corbusier, Eileen Gray, Frank Lloyd Wright, Robert Venturi, Frank Gehry, Peter Eisenman, Richard Meier and Kazuyo Sejima amongst others, this book uses mathematics to analyse arguments and theories about some of the world’s most famous designs. Starting with 625 reconstructed architectural plans and elevations, and including more than 200 specially prepared views of famous buildings, this book presents the results of the largest mathematical study ever undertaken into architectural design and the largest single application of fractal analysis presented in any field. The data derived from this study is used to test three overarching hypotheses about social, stylistic and personal trends in design, along with five celebrated arguments about twentieth-century architecture. Through this process the book offers a unique mathematical insight into the history and theory of design.


From Research to Manuscript

From Research to Manuscript

Author: Michael J. Katz

Publisher: Springer Science & Business Media

Published: 2006-07-10

Total Pages: 159

ISBN-13: 1402040717

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From Research to Manuscript, written in simple, straightforward language, explains how to understand and summarize a research project. It is a writing guide that goes beyond grammar and bibliographic formats, by demonstrating in detail how to compose the sections of a scientific paper. This book takes you from the data on your desk and leads you through the drafts and rewrites needed to build a thorough, clear science article. At each step, the book describes not only what to do but why and how. It discusses why each section of a science paper requires its particular form of information, and it shows how to put your data and your arguments into that form. Importantly, this writing manual recognizes that experiments in different disciplines need different presentations, and it is illustrated with examples from well-written papers on a wide variety of scientific subjects. As a textbook or as an individual tutorial, From Research to Manuscript belongs in the library of every serious science writer and editor.


Blindsight

Blindsight

Author: Peter Watts

Publisher: Macmillan

Published: 2006-10-03

Total Pages: 388

ISBN-13: 1429955198

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Hugo and Shirley Jackson award-winning Peter Watts stands on the cutting edge of hard SF with his acclaimed novel, Blindsight Two months since the stars fell... Two months of silence, while a world held its breath. Now some half-derelict space probe, sparking fitfully past Neptune's orbit, hears a whisper from the edge of the solar system: a faint signal sweeping the cosmos like a lighthouse beam. Whatever's out there isn't talking to us. It's talking to some distant star, perhaps. Or perhaps to something closer, something en route. So who do you send to force introductions with unknown and unknowable alien intellect that doesn't wish to be met? You send a linguist with multiple personalities, her brain surgically partitioned into separate, sentient processing cores. You send a biologist so radically interfaced with machinery that he sees x-rays and tastes ultrasound. You send a pacifist warrior in the faint hope she won't be needed. You send a monster to command them all, an extinct hominid predator once called vampire, recalled from the grave with the voodoo of recombinant genetics and the blood of sociopaths. And you send a synthesist—an informational topologist with half his mind gone—as an interface between here and there. Pray they can be trusted with the fate of a world. They may be more alien than the thing they've been sent to find. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.