Fractalize That A Visual Essay On Statistical Geometry

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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.

Analysis, Probability And Mathematical Physics On Fractals

Author : Patricia Alonso Ruiz
Publisher : World Scientific
ISBN 13 : 9811215545
Total Pages : 594 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Analysis, Probability And Mathematical Physics On Fractals by : Patricia Alonso Ruiz

Download or read book Analysis, Probability And Mathematical Physics On Fractals written by Patricia Alonso Ruiz and published by World Scientific. This book was released on 2020-02-26 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing the interplay between analytic, geometric and probabilistic aspects of the mathematics of fractals. Using classical and abstract analytic tools developed by Cantor, Hausdorff, and Sierpinski, they have sought to address fundamental questions: How can we measure the size of a fractal set? How do waves and heat travel on irregular structures? How are analysis, geometry and stochastic processes related in the absence of Euclidean smooth structure? What new physical phenomena arise in the fractal-like settings that are ubiquitous in nature?This book introduces background and recent progress on these problems, from both established leaders in the field and early career researchers. The book gives a broad introduction to several foundational techniques in fractal mathematics, while also introducing some specific new and significant results of interest to experts, such as that waves have infinite propagation speed on fractals. It contains sufficient introductory material that it can be read by new researchers or researchers from other areas who want to learn about fractal methods and results.

Elegant Fractals: Automated Generation Of Computer Art

Author : Julien Clinton Sprott
Publisher : World Scientific Publishing
ISBN 13 : 9813237155
Total Pages : 266 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Elegant Fractals: Automated Generation Of Computer Art by : Julien Clinton Sprott

Download or read book Elegant Fractals: Automated Generation Of Computer Art written by Julien Clinton Sprott and published by World Scientific Publishing. This book was released on 2018-10-04 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Fractalize That!

Author : John Shier (Writer on geometry)
Publisher :
ISBN 13 : 9789813275171
Total Pages : pages
Book Rating : 4.2/5 (751 download)

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Book Synopsis Fractalize That! by : John Shier (Writer on geometry)

Download or read book Fractalize That! written by John Shier (Writer on geometry) and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Exploring Scale Symmetry

Author : Thomas Lowe
Publisher : World Scientific
ISBN 13 : 9813278560
Total Pages : 253 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Exploring Scale Symmetry by : Thomas Lowe

Download or read book Exploring Scale Symmetry written by Thomas Lowe and published by World Scientific. This book was released on 2021-02-18 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Welcome to the world of scale symmetry, the last elementary symmetry and the least explored!Find out how this long-neglected element transforms the traditional geometry of lines and planes into a rich landscape of trees, craggy mountains and rolling oceans.Enjoy a visual exploration through the intricate and elaborate structures of scale-symmetric geometry. See unique fractals, Mandelboxes, and automata and physical behaviors. Take part in the author's forage into the lesser-trodden regions of this landscape, and discover unusual and attractive specimens!You will also be provided with all the tools needed to recreate the structures yourself.Every example is new and developed by the author, and is chosen because it pushes the field of scale-symmetric geometry into a scarcely explored region. The results are complex and intricate but the method of generation is often simple, which allows it to be presented graphically without depending on too much mathematical syntax. If you are interested in the mathematics, science and art of scale symmetry, then read on!This is also a book for programmers and for hobbyists: those of us who like to dabble with procedural imagery and see where it leads.

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.

Archipelagic American Studies

Author : Brian Russell Roberts
Publisher : Duke University Press
ISBN 13 : 0822373203
Total Pages : 466 pages
Book Rating : 4.8/5 (223 download)

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Book Synopsis Archipelagic American Studies by : Brian Russell Roberts

Download or read book Archipelagic American Studies written by Brian Russell Roberts and published by Duke University Press. This book was released on 2017-05-18 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Departing from conventional narratives of the United States and the Americas as fundamentally continental spaces, the contributors to Archipelagic American Studies theorize America as constituted by and accountable to an assemblage of interconnected islands, archipelagoes, shorelines, continents, seas, and oceans. They trace these planet-spanning archipelagic connections in essays on topics ranging from Indigenous sovereignty to the work of Édouard Glissant, from Philippine call centers to US militarization in the Caribbean, and from the great Pacific garbage patch to enduring overlaps between US imperialism and a colonial Mexican archipelago. Shaking loose the straitjacket of continental exceptionalism that hinders and permeates Americanist scholarship, Archipelagic American Studies asserts a more relevant and dynamic approach for thinking about the geographic, cultural, and political claims of the United States within broader notions of America. Contributors Birte Blascheck, J. Michael Dash, Paul Giles, Susan Gillman, Matthew Pratt Guterl, Hsinya Huang, Allan Punzalan Isaac, Joseph Keith, Yolanda Martínez-San Miguel, Brandy Nālani McDougall, Ifeoma Kiddoe Nwankwo, Craig Santos Perez, Brian Russell Roberts, John Carlos Rowe, Cherene Sherrard-Johnson, Ramón E. Soto-Crespo, Michelle Ann Stephens, Elaine Stratford, Etsuko Taketani, Alice Te Punga Somerville, Teresia Teaiwa, Lanny Thompson, Nicole A. Waligora-Davis

Magill's Survey of Science: Fir-Lan

Author : Frank Northen Magill
Publisher :
ISBN 13 :
Total Pages : 550 pages
Book Rating : 4.:/5 (53 download)

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Book Synopsis Magill's Survey of Science: Fir-Lan by : Frank Northen Magill

Download or read book Magill's Survey of Science: Fir-Lan written by Frank Northen Magill and published by . This book was released on 1993 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Magill's Survey of Science

Author : Frank Northen Magill
Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.X/5 (2 download)

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Book Synopsis Magill's Survey of Science by : Frank Northen Magill

Download or read book Magill's Survey of Science written by Frank Northen Magill and published by . This book was released on 1993 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Methods in Control & Signal Processing

Author : Tohru Katayama
Publisher : CRC Press
ISBN 13 : 1482273748
Total Pages : 574 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Statistical Methods in Control & Signal Processing by : Tohru Katayama

Download or read book Statistical Methods in Control & Signal Processing written by Tohru Katayama and published by CRC Press. This book was released on 2018-10-08 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting statistical and stochastic methods for the analysis and design of technological systems in engineering and applied areas, this work documents developments in statistical modelling, identification, estimation and signal processing. The book covers such topics as subspace methods, stochastic realization, state space modelling, and identification and parameter estimation.

Mathematics Teacher Resource Handbook

Author :
Publisher : Krause Publications
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Mathematics Teacher Resource Handbook by :

Download or read book Mathematics Teacher Resource Handbook written by and published by Krause Publications. This book was released on 1993 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Eye For Fractals

Author : Michael Mcguire
Publisher : Addison-Wesley Longman
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Eye For Fractals by : Michael Mcguire

Download or read book An Eye For Fractals written by Michael Mcguire and published by Addison-Wesley Longman. This book was released on 1991-07-21 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Discrete Encounters

Author : Craig Bauer
Publisher : CRC Press
ISBN 13 : 0429682883
Total Pages : 740 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Discrete Encounters by : Craig Bauer

Download or read book Discrete Encounters written by Craig Bauer and published by CRC Press. This book was released on 2020-05-14 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eschewing the often standard dry and static writing style of traditional textbooks, Discrete Encounters provides a refreshing approach to discrete mathematics. The author blends traditional course topics and applications with historical context, pop culture references, and open problems. This book focuses on the historical development of the subject and provides fascinating details of the people behind the mathematics, along with their motivations, deepening readers’ appreciation of mathematics. This unique book covers many of the same topics found in traditional textbooks, but does so in an alternative, entertaining style that better captures readers’ attention. In addition to standard discrete mathematics material, the author shows the interplay between the discrete and the continuous and includes high-interest topics such as fractals, chaos theory, cellular automata, money-saving financial mathematics, and much more. Not only will readers gain a greater understanding of mathematics and its culture, they will also be encouraged to further explore the subject. Long lists of references at the end of each chapter make this easy. Highlights: Features fascinating historical context to motivate readers Text includes numerous pop culture references throughout to provide a more engaging reading experience Its unique topic structure presents a fresh approach The text’s narrative style is that of a popular book, not a dry textbook Includes the work of many living mathematicians Its multidisciplinary approach makes it ideal for liberal arts mathematics classes, leisure reading, or as a reference for professors looking to supplement traditional courses Contains many open problems Profusely illustrated

Fractal Geometry in Architecture and Design

Author : Carl Bovill
Publisher : Springer Science & Business Media
ISBN 13 : 1461208432
Total Pages : 200 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Fractal Geometry in Architecture and Design by : Carl Bovill

Download or read book Fractal Geometry in Architecture and Design written by Carl Bovill and published by Springer Science & Business Media. This book was released on 2013-03-11 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: na broad sense Design Science is the grammar of a language of images Irather than of words. Modern communication techniques enable us to transmit and reconstitute images without needing to know a specific verbal sequence language such as the Morse code or Hungarian. International traffic signs use international image symbols which are not specific to any particular verbal language. An image language differs from a verbal one in that the latter uses a linear string of symbols, whereas the former is multi dimensional. Architectural renderings commonly show projections onto three mutual ly perpendicular planes, or consist of cross sections at different altitudes capa ble of being stacked and representing different floor plans. Such renderings make it difficult to imagine buildings comprising ramps and other features which disguise the separation between floors, and consequently limit the cre ative process of the architect. Analogously, we tend to analyze natural struc tures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures. Perception is a complex process. Our senses record; they are analogous to audio or video devices. We cannot, however, claim that such devices perceive.

Mortal City

Author : Peter Lang
Publisher : Princeton Architectural Press
ISBN 13 : 9781568981598
Total Pages : 154 pages
Book Rating : 4.9/5 (815 download)

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Book Synopsis Mortal City by : Peter Lang

Download or read book Mortal City written by Peter Lang and published by Princeton Architectural Press. This book was released on 1995 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: A heightened perception of urban violence increasingly dominates public discourse, but, as current events seem to demonstrate, these crises continue without immanent resolution. The very definitions of the city and of violence are constantly being reevaluated: the site of the city is shifting across real and imagined space; violence has been exposed outside the traditional areas of social conflict. Mortal City, published With StoreFront for Art and Architecture, is comprised of a series of essays investigating direct and indirect forms of violence and the city. Mortal City presents several different approaches to the subject. Articles by Donald Albrecht, Diane Ghirardo, Herbert Muschamp, Richard Plunz, and Lebbeus Woods, among others, are accompanied by photo essays by Warchitecture and Camilo Vergara and an interview with Mark Wigley. "We have gone from fearing the death of the city to fearing the city of death, and this traumatic change is reflected passionately in this book". -- A.D.

The Fractal Dimension of Architecture

Author : Michael J. Ostwald
Publisher : Birkhäuser
ISBN 13 : 3319324268
Total Pages : 429 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis The Fractal Dimension of Architecture by : Michael J. Ostwald

Download or read book The Fractal Dimension of Architecture written by Michael J. Ostwald and published by Birkhäuser. This book was released on 2016-09-01 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Untangling Complex Systems

Author : Pier Luigi Gentili
Publisher : CRC Press
ISBN 13 : 0429847556
Total Pages : 568 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Untangling Complex Systems by : Pier Luigi Gentili

Download or read book Untangling Complex Systems written by Pier Luigi Gentili and published by CRC Press. This book was released on 2018-09-03 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Systems are natural systems that science is unable to describe exhaustively. Examples of Complex Systems are both unicellular and multicellular living beings; human brains; human immune systems; ecosystems; human societies; the global economy; the climate and geology of our planet. This book is an account of a marvelous interdisciplinary journey the author made to understand properties of the Complex Systems. He has undertaken his trip, equipped with the fundamental principles of physical chemistry, in particular, the Second Law of Thermodynamics that describes the spontaneous evolution of our universe, and the tools of Non-linear dynamics. By dealing with many disciplines, in particular, chemistry, biology, physics, economy, and philosophy, the author demonstrates that Complex Systems are intertwined networks, working in out-of-equilibrium conditions, which exhibit emergent properties, such as self-organization phenomena and chaotic behaviors in time and space.