Fractal Cosmos

Fractal Cosmos

Author: Jeff Berkowitz

Publisher:

Published: 1994

Total Pages: 0

ISBN-13: 9781569370643

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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 Art

Fractal Art

Author: Levin

Publisher: Universe Publishing(NY)

Published: 1996-10-30

Total Pages: 0

ISBN-13: 9780883639498

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This collection of computer-generated art depicts Mandelbrot-set fractals--fantastic patterns of colored shapes symmetrically repeated as infinitely smaller versions of themselves. Examine the wonders of this fractal set, which can also be used as a flip book. 30 cards. 30 color plates.


Viewpoints

Viewpoints

Author: Marc Frantz

Publisher: Princeton University Press

Published: 2011-07-05

Total Pages: 259

ISBN-13: 140083905X

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An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachers)


The Fractal Geometry of Nature

The Fractal Geometry of Nature

Author: Benoit Mandelbrot

Publisher: Echo Point Books & Media, LLC

Published: 2021-07-16

Total Pages: 0

ISBN-13: 9781648370410

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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.


Tessellations

Tessellations

Author: Robert Fathauer

Publisher: CRC Press

Published: 2020-12-07

Total Pages: 443

ISBN-13: 0429589239

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Tessellations: Mathematics, Art and Recreation aims to present a comprehensive introduction to tessellations (tiling) at a level accessible to non-specialists. Additionally, it covers techniques, tips, and templates to facilitate the creation of mathematical art based on tessellations. Inclusion of special topics like spiral tilings and tessellation metamorphoses allows the reader to explore beautiful and entertaining math and art. The book has a particular focus on ‘Escheresque’ designs, in which the individual tiles are recognizable real-world motifs. These are extremely popular with students and math hobbyists but are typically very challenging to execute. Techniques demonstrated in the book are aimed at making these designs more achievable. Going beyond planar designs, the book contains numerous nets of polyhedra and templates for applying Escheresque designs to them. Activities and worksheets are spread throughout the book, and examples of real-world tessellations are also provided. Key features Introduces the mathematics of tessellations, including symmetry Covers polygonal, aperiodic, and non-Euclidean tilings Contains tutorial content on designing and drawing Escheresque tessellations Highlights numerous examples of tessellations in the real world Activities for individuals or classes Filled with templates to aid in creating Escheresque tessellations Treats special topics like tiling rosettes, fractal tessellations, and decoration of tiles


Fractals

Fractals

Author: Jack Cleveland

Publisher:

Published: 2020-11-28

Total Pages: 156

ISBN-13: 9781941237601

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This is a book for art lovers, designers, and art-loving techies everywhere. A coffee-table art book filled with lush art plates that speak to the senses, the fractal images within reflect the beauty and mystery of the natural world, and demonstrate the power of computer-aided design in creating original works of art.


Fractal Worlds

Fractal Worlds

Author: Michael Frame

Publisher: Yale University Press

Published: 2016-06-21

Total Pages: 536

ISBN-13: 0300220707

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Fractal geometry is a uniquely fascinating area of mathematics, exhibited in a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range. In this essential primer, mathematician Michael Frame—a close collaborator with Benoit Mandelbrot, the founder of fractal geometry—and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology. Frame and Urry offer new insights into such familiar topics as measuring fractal complexity by dimension and the life and work of Mandelbrot. In addition, they delve into less-known areas: fractals with memory, the Mandelbrot set in four dimensions, fractals in literature, and more. An inviting introduction to an enthralling subject, this comprehensive volume is ideal for learning and teaching.


Chaos and Fractals

Chaos and Fractals

Author: C.A. Pickover

Publisher: Elsevier

Published: 1998-08-03

Total Pages: 469

ISBN-13: 0080528864

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These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical, and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art.Chaos and Fractals is divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex Maps; Iterated Function Systems; and Computer Art.Additionally, information on the latest practical applications of fractals and on the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.


To Sleep in a Sea of Stars

To Sleep in a Sea of Stars

Author: Christopher Paolini

Publisher: Tor Books

Published: 2020-09-15

Total Pages: 848

ISBN-13: 1250762901

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Now a New York Times and USA Today bestseller! Winner of Best Science Fiction in the 2020 Goodreads Choice Awards! To Sleep in a Sea of Stars is a brand new epic novel from #1 New York Times bestselling author of Eragon, Christopher Paolini. Kira Navárez dreamed of life on new worlds. Now she's awakened a nightmare. During a routine survey mission on an uncolonized planet, Kira finds an alien relic. At first she's delighted, but elation turns to terror when the ancient dust around her begins to move. As war erupts among the stars, Kira is launched into a galaxy-spanning odyssey of discovery and transformation. First contact isn't at all what she imagined, and events push her to the very limits of what it means to be human. While Kira faces her own horrors, Earth and its colonies stand upon the brink of annihilation. Now, Kira might be humanity's greatest and final hope . . . The Fractalverse Series To Sleep in a Sea of Stars Fractal Noise At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.