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.

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.)

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.)

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.

“A marvelously entertaining, historical romp through the unexpected connections between mathematics and mysticism” (Paul Hoffman, Discover). From the mysterious cult of Pythagoras to the awesome mechanics of Stonehenge to digitally generated “gargoyles” and fractals, mathematics has always been a powerful, even divine force in the world. In a lively, intelligent synthesis of math, mysticism, and science fiction, Clifford Pickover explains the eternal magic of numbers. Taking a uniquely humorous approach, he appoints readers “Chief Historian” of an intergalactic museum and sends them, along with a quirky cast of characters, hurtling through the ages to explore how individuals used numbers for such purposes as predicting the end of the world, finding love, and winning wars.

There are new and important advancements in today’s complexity theories in ICT and requires an extraordinary perspective on the interaction between living systems and information technologies. With human evolution and its continuous link with the development of new tools and environmental changes, technological advancements are paving the way for new evolutionary steps. Complexity Science, Living Systems, and Reflexing Interfaces: New Models and Perspectives is a collection of research provided by academics and scholars aiming to introduce important advancements in areas such as artificial intelligence, evolutionary computation, neural networks, and much more. This scholarly piece will provide contributions that will define the line of development in complexity science.

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Heaven's Fractal Net explores the uniquely useful geometrical forms found in nature and in cultures of the world. The visual shapes of fractals attract eyes with their fascinating beauty. They appear in images and designs with reiterated patterns whose parts are self-similar to the whole pattern--just as a fern frond is structured with smaller and smaller self-similar branches. The fractal-like imagery in religious architecture has been used to symbolize infinity, consciousness, vertigo, and wonder. In nature fractals serve as dynamic configurations for circulation, including the branching shapes of trees and lungs, rivers and nerves. A wealth of fractal examples is found in arts, symbols, and decorations. Heaven's Fractal Net is a book which explores self-similarities in worldwide cultures, providing a rich background for examining many geometrical shapes used by humanity, exploring processes of creativity in wisdom traditions, and delving into archetypal images in depth psychology. Fractals offer an organizing principle for many different kinds of hierarchies and composites, and in recent years "fractal" has become a familiar household word for a new yet ancient geometry.

Few individuals have had as great an impact on the law--both its practice and its history--as A. Leon Higginbotham, Jr. A winner of the Presidential Medal of Freedom, the nation's highest civilian honor, he has distinguished himself over the decades both as a professor at Yale, the University of Pennsylvania, and Harvard, and as a judge on the United States Court of Appeals. But Judge Higginbotham is perhaps best known as an authority on racism in America: not the least important achievement of his long career has been In the Matter of Color, the first volume in a monumental history of race and the American legal process. Published in 1978, this brilliant book has been hailed as the definitive account of racism, slavery, and the law in colonial America. Now, after twenty years, comes the long-awaited sequel. In Shades of Freedom, Higginbotham provides a magisterial account of the interaction between the law and racial oppression in America from colonial times to the present, demonstrating how the one agent that should have guaranteed equal treatment before the law--the judicial system--instead played a dominant role in enforcing the inferior position of blacks. The issue of racial inferiority is central to this volume, as Higginbotham documents how early white perceptions of black inferiority slowly became codified into law. Perhaps the most powerful and insightful writing centers on a pair of famous Supreme Court cases, which Higginbotham uses to portray race relations at two vital moments in our history. The Dred Scott decision of 1857 declared that a slave who had escaped to free territory must be returned to his slave owner. Chief Justice Roger Taney, in his notorious opinion for the majority, stated that blacks were "so inferior that they had no right which the white man was bound to respect." For Higginbotham, Taney's decision reflects the extreme state that race relations had reached just before the Civil War. And after the War and Reconstruction, Higginbotham reveals, the Courts showed a pervasive reluctance (if not hostility) toward the goal of full and equal justice for African Americans, and this was particularly true of the Supreme Court. And in the Plessy v. Ferguson decision, which Higginbotham terms "one of the most catastrophic racial decisions ever rendered," the Court held that full equality--in schooling or housing, for instance--was unnecessary as long as there were "separate but equal" facilities. Higginbotham also documents the eloquent voices that opposed the openly racist workings of the judicial system, from Reconstruction Congressman John R. Lynch to Supreme Court Justice John Marshall Harlan to W. E. B. Du Bois, and he shows that, ironically, it was the conservative Supreme Court of the 1930s that began the attack on school segregation, and overturned the convictions of African Americans in the famous Scottsboro case. But today racial bias still dominates the nation, Higginbotham concludes, as he shows how in six recent court cases the public perception of black inferiority continues to persist. In Shades of Freedom, a noted scholar and celebrated jurist offers a work of magnificent scope, insight, and passion. Ranging from the earliest colonial times to the present, it is a superb work of history--and a mirror to the American soul.