Fractal Worlds

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

Encompassing a Fractal World presents a groundbreaking, innovative paradigm which opens up new perspectives for understanding and analyzing Hindu life and culture. This book is an interdisciplinary comparative work which attempts to 'connect the dots', moving beyond isolated local village-based studies in order to bridge the gulf between anthropology and Hindu studies.

This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers--including two articles by Mandelbrot--provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry. In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications. This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications.

"Where most books on fractals concentrate on mathematical theory, Alt. Fractals takes a graphical approach. starting with the fractal "standards"--The Sierpinski Triangle and Pyramid, Menger Sponge, Julia Mandelbrot sets - Alt. Fractals explores the world of variations one step removed from the usual textbook versions."--Back cover.

Virtual Reality: Applications and Explorations provides information pertinent to the fundamental aspects of virtual reality and artificial reality. This book discusses the potential applications of virtual reality. Organized into three parts encompassing 10 chapters, this book begins with an overview of the traditional computer science activities ad discusses how hard problems in computer science can be addressed with virtual reality ideas and technology. This text then explores some applications of virtual reality technology that could potentially touch almost every purposeful activity that humans undertake in a technological civilization. Other chapters consider the use of virtual reality to manage and present to users information that cannot otherwise be comprehended. This book discusses as well the use of artificial worlds in both computer art and virtual reality. The final chapter deals with how the ideas of virtual reality and artificial reality can be of use to anyone who has to manage a business or organization. This book is a valuable resource for computer scientists.

A dazzling look at the artists working on the frontiers of science. In recent decades, an exciting new art movement has emerged in which artists utilize and illuminate the latest advances in science. Some of their provocative creations—a live rabbit implanted with the fluorescent gene of a jellyfish, a gigantic glass-and-chrome sculpture of the Big Bang (pictured on the cover)—can be seen in traditional art museums and magazines, while others are being made by leading designers at Pixar, Google’s Creative Lab, and the MIT Media Lab. In Colliding Worlds, Arthur I. Miller takes readers on a wild journey to explore this new frontier. Miller, the author of Einstein, Picasso and other celebrated books on science and creativity, traces the movement from its seeds a century ago—when Einstein’s theory of relativity helped shape the thinking of the Cubists—to its flowering today. Through interviews with innovative thinkers and artists across disciplines, Miller shows with verve and clarity how discoveries in biotechnology, cosmology, quantum physics, and beyond are animating the work of designers like Neri Oxman, musicians like David Toop, and the artists-in-residence at CERN’s Large Hadron Collider. From NanoArt to Big Data, Miller reveals the extraordinary possibilities when art and science collide.

The biggest challenge facing leaders today is the creation of organizations that are capable of surviving and flourishing in these uncertain times. How does one create an organization that is sustainable in the long run, how can organizations be ready for uncertainties that the markets place upon them, how can an organization be simply brilliant by design? This book leverages the proposed meta-theory for progressive organizational design and dynamics real-world reflections to create fractal-based sustainable enterprises of tomorrow. In this meta-theory all instances of organization, from the smallest, such as an idea or a person, to the largest, such as global markets and planet earth herself, are fractals: the essence of their way of being is repeated on scales both smaller and larger than themselves. There is however, a particular class of fractals, that of progress, of which The Fractal Ladder is an ever-present manifestation, which spawns organizations that are truly progressive and sustainable in nature. In the scheme of things this class of fractals is of critical importance, and to master its replication and to fully understand the impact it will have in creating sustainable and dynamic organizations is a practical necessity. Divided into three parts, Part I – Theory, will present the theory behind the Fractal Organization. Part II – Exercises, will translate key elements of the fractal-based world-view into practical activities and exercises at the personal and workplace levels. Part III – Reflections, will apply the basic logic of the sun-marked physical-vital-mental fractal to many practical problems and situations we are faced with daily to suggest ways to address them.

In a simple manner, explains the frontiers of astronomy, how fractals appear in cosmic physics, offers a personal view of the history of the idea of self-similarity and of cosmological principles and presents the debate which illustrates how new concepts and deeper observations reveal unexpected aspects of Nature.