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Author : Clifford A. Pickover
Publisher : World Scientific
Page : 474 pages
File Size : 40,7 Mb
Release : 1995
Category : Computers
ISBN : 981021426X
Although the patterns are computer-generated, the book is informal and emphasis is on the fun that the true pattern lover finds in doing rather than in reading about the doing.
Author : Clifford A. Pickover
Publisher : Unknown
Page : 427 pages
File Size : 55,7 Mb
Release : 1995
Category : Electronic
ISBN : OCLC:989660385
Author : Clifford A Pickover
Publisher : World Scientific
Page : 466 pages
File Size : 42,7 Mb
Release : 1995-06-09
Category : Mathematics
ISBN : 9789814504034
This book will allow you to travel through time and space. To facilitate your journey, the editor has scoured the four corners of the earth in a quest for unusual people and their fascinating patterns. From Mozambique, to Asia, to many European countries, the contributors to The Pattern Book include world-famous cancer researchers, little-known artists and eclectirc computer programmers. Some of the patterns are ultramodern, while others are centuries old. Many of the patterns are drawn from the universe of mathematics. Computer recipes are scattered throughout.Although the emphasis is on computer-generated patterns, the book is informal and the intended audience spans several fields. The emphasis is on the fun that the true pattern lover finds in doing, rather than in reading about the doing! The book is organized into three main parts: Representing Nature (for those patterns which describe or show real physical phenomena, e.g., visualizations of protein motion, sea lilies, etc.), Mathematics and Symmetry (for those patterns which describe or show mathematical behavior, e.g. fractals), and Human Art (for those patterns which are artistic works of humans and made without the aid of a computer, e.g. Moslem tiling patterns.)
Author : John Briggs
Publisher : Simon and Schuster
Page : 196 pages
File Size : 53,6 Mb
Release : 1992
Category : Art
ISBN : 9780671742171
Explains the significance and beauty of fractals using over 170 illustrations.
Author : Hajime Ouchi
Publisher : Courier Corporation
Page : 178 pages
File Size : 44,8 Mb
Release : 2013-06-03
Category : Art
ISBN : 9780486318998
Some of the most ingenious and attractive modern motifs. 746 designs.
Author : Philip Ball
Publisher : University of Chicago Press
Page : 289 pages
File Size : 43,6 Mb
Release : 2016-04-05
Category : Photography
ISBN : 9780226332567
The acclaimed science writer “curates a visually striking, riotously colorful photographic display…of physical patterns in the natural world” (Publishers Weekly, starred review). Though at first glance the natural world may appear overwhelming in its diversity and complexity, there are regularities running through it, from the hexagons of a honeycomb to the spirals of a seashell and the branching veins of a leaf. Revealing the order at the foundation of the seemingly chaotic natural world, Patterns in Nature explores not only the math and science but also the beauty and artistry behind nature’s awe-inspiring designs. Unlike the patterns we create, natural patterns are formed spontaneously from the forces that act in the physical world. Very often the same types of pattern and form—such as spirals, stripes, branches, and fractals—recur in places that seem to have nothing in common, as when the markings of a zebra mimic the ripples in windblown sand. But many of these patterns can be described using the same mathematical and physical principles, giving a surprising unity to the kaleidoscope of the natural world. Richly illustrated with 250 color photographs and anchored by accessible and insightful chapters by esteemed science writer Philip Ball, Patterns in Nature reveals the organization at work in vast and ancient forests, powerful rivers, massing clouds, and coastlines carved out by the sea. By exploring similarities such as the branches of a tree and those of a river network, this spectacular visual tour conveys the wonder, beauty, and richness of natural pattern formation.
Author : John Briggs
Publisher : Unknown
Page : 194 pages
File Size : 54,7 Mb
Release : 2015-12-10
Category : Juvenile Nonfiction
ISBN : 1626543763
Explains the significance and beauty of fractals using over 170 illustrations.
Author : Miroslav Michal Novak
Publisher : World Scientific
Page : 336 pages
File Size : 48,8 Mb
Release : 2004
Category : Science
ISBN : 9789812388223
Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century. Penetration of the resulting new paradigms into practically all academic disciplines has confirmed the fundamental assertion of universal formalism common to a wide range of human endeavors.This book contains an extended article by B B Mandelbrot, reviewing his contribution to fractal geometry and outlining some unsolved problems, with illustrations especially of finance and physics. It covers a range of multidisciplinary topics ? from the biology of aging, through the self-similar shape of plants, image decompression and solar magnetic fields, to sound reflection in the street. The book is a treasure trove for innovative researchers working in fields related to fractal geometry.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences
Author : Sarah C. Campbell
Publisher : Astra Publishing House
Page : 34 pages
File Size : 44,6 Mb
Release : 2023-08-08
Category : Juvenile Nonfiction
ISBN : 9781662620416
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.
Author : Benoit Mandelbrot
Publisher : Echo Point Books & Media, LLC
Page : 0 pages
File Size : 51,8 Mb
Release : 2021-07-16
Category : Electronic
ISBN : 1648370411
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.
Author : Philip Ball
Publisher : University of Chicago Press
Page : 289 pages
File Size : 45,8 Mb
Release : 2016-04-05
Category : Art
ISBN : 9780226332420
While the natural world is often described as organic, it is in fact structured to the very molecule, replete with patterned order that can be decoded with basic mathematical algorithms and principles. In a nautilus shell one can see logarithmic spirals, and the Golden Ratio can be seen in the seed head of the sunflower plant. These patterns and shapes have inspired artists, writers, designers, and musicians for thousands of years. "Patterns in Nature: Why the Natural World Looks the Way It Does" illuminates the amazing diversity of pattern in the natural world and takes readers on a visual tour of some of the world s most incredible natural wonders. Featuring awe-inspiring galleries of nature s most ingenious designs, "Patterns in Nature" is a synergy of art and science that will fascinate artists, nature lovers, and mathematicians alike."
Author : Mike Field,Michael Field,Martin Golubitsky
Publisher : Oxford University Press, USA
Page : 238 pages
File Size : 52,6 Mb
Release : 1995
Category : Chaotic behavior in systems
ISBN : PSU:000031535953
A classy rendering of chaos theory and symmetry mathematics illustrating recent understanding about the convergence between the two areas. Mathematicians Field and Golubitsky explain the relationship between chaos and symmetry, describing how chaotic process may eventually lead to symmetric patterns in a clear, understandable language and in color photographs reproducing computer images demonstrating the inherent pattern in apparent chaos. The authors compare these images with pictures from nature and art that, miraculously, mimic the computer patterns. Includes an appendix containing several BASIC programs enabling home computer owners to experiment with similar images. Annotation copyrighted by Book News, Inc., Portland, OR
Author : John Briggs
Publisher : Touchstone Books
Page : 204 pages
File Size : 54,9 Mb
Release : 1992
Category : Mathematics
ISBN : UOM:39015029074393
Explains the significance and beauty of fractals using over 170 illustrations.
Author : Robert A. Dixon
Publisher : Courier Corporation
Page : 226 pages
File Size : 40,5 Mb
Release : 1991-01-01
Category : Mathematics
ISBN : 9780486266398
Stimulating, unique book explores the possibilities of mathematical drawing through compass constructions and computer graphics. Over 100 full-page drawings demonstrate possibilities: five-point egg, golden ratio, 17-gon, plughole vortex, blancmange curve, pentasnow, turtle geometry, many more. Exercises (with answers). "A wealth of intriguing and lovely ideas." — Information Technology & Learning.
Author : C.A. Pickover
Publisher : Elsevier
Page : 452 pages
File Size : 48,9 Mb
Release : 1998-08-03
Category : Computers
ISBN : 0080528864
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.