The Fourth Dimension


Book Description

In this sequel to The Fourth Dimension, Volume 1, Dr. David Yonggi Cho shows how you can develop the dynamic faith and true communion with God which overcome spiritual obstacles and surpass barriers.




The Fourth Dimension: Toward a Geometry of Higher Reality


Book Description

One of the most talented contemporary authors of cutting-edge math and science books conducts a fascinating tour of a higher reality, the Fourth Dimension. Includes problems, puzzles, and 200 drawings. "Informative and mind-dazzling." — Martin Gardner.




The Fourth Dimension


Book Description




Dr. David Yonggi Cho


Book Description

A commemorative look at 50 years of Dr. Cho¿s min-istry of hope, released in time for his retirement this summer. Over the years, as he struggled to bring hope to people and build his church, God taught Dr. Cho not to depend upon himself but totally upon the Holy Spirit. In this book Dr. Cho tells the stories of his temptations and doubts, failures and successes, and how the Holy Spirit was with him in every situa-tion. The teaching in this book will inspire the reader to stand strong in the face of adversity, doubt, and fear. Followers worldwide will add this highly antici-pated autobiography to their collection of Dr. Cho¿s coveted works.




Fourth Dimension


Book Description

In a world with no power, chaos soon descends. A powerful look at the disintegration of society in the wake of a massive and mysterious outage that has knocked out all modern amenities. Fifteen-year-old Emma has moved house with her ex-Marine mother and younger brother. It's a brand-new condo building, which explains the semi-regular power outages, as workers complete the units around them. So Emma isn't particularly concerned when the latest blackout hits just as they are preparing to leave town on a long weekend camping trip. But then the car won't start, and their cellphones appear dead -- and all the cars outside their building seem to be stalled in a long traffic jam ... In the midst of what appears to be a massive power outage, with their camping gear packed and ready, Emma and her family canoe over to the islands, just offshore, to wait it out. But while they land on an isolated island, with a relatively hidden site, they are far from safe, as people become increasingly desperate to find food and shelter. And as the days pass, and the power remains out, the threat of violence becomes all too real.




The Fourth Dimension


Book Description

A detailed description of what the fourth dimension would be like.







The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition


Book Description

The long-awaited new edition of a groundbreaking work on the impact of alternative concepts of space on modern art. In this groundbreaking study, first published in 1983 and unavailable for over a decade, Linda Dalrymple Henderson demonstrates that two concepts of space beyond immediate perception—the curved spaces of non-Euclidean geometry and, most important, a higher, fourth dimension of space—were central to the development of modern art. The possibility of a spatial fourth dimension suggested that our world might be merely a shadow or section of a higher dimensional existence. That iconoclastic idea encouraged radical innovation by a variety of early twentieth-century artists, ranging from French Cubists, Italian Futurists, and Marcel Duchamp, to Max Weber, Kazimir Malevich, and the artists of De Stijl and Surrealism. In an extensive new Reintroduction, Henderson surveys the impact of interest in higher dimensions of space in art and culture from the 1950s to 2000. Although largely eclipsed by relativity theory beginning in the 1920s, the spatial fourth dimension experienced a resurgence during the later 1950s and 1960s. In a remarkable turn of events, it has returned as an important theme in contemporary culture in the wake of the emergence in the 1980s of both string theory in physics (with its ten- or eleven-dimensional universes) and computer graphics. Henderson demonstrates the importance of this new conception of space for figures ranging from Buckminster Fuller, Robert Smithson, and the Park Place Gallery group in the 1960s to Tony Robbin and digital architect Marcos Novak.




The Wild World of 4-Manifolds


Book Description

What a wonderful book! I strongly recommend this book to anyone, especially graduate students, interested in getting a sense of 4-manifolds. --MAA Reviews The book gives an excellent overview of 4-manifolds, with many figures and historical notes. Graduate students, nonexperts, and experts alike will enjoy browsing through it. -- Robion C. Kirby, University of California, Berkeley This book offers a panorama of the topology of simply connected smooth manifolds of dimension four. Dimension four is unlike any other dimension; it is large enough to have room for wild things to happen, but small enough so that there is no room to undo the wildness. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today. To put things in context, the book starts with a survey of higher dimensions and of topological 4-manifolds. In the second part, the main invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold are investigated. In the third part, as an important source of examples, complex surfaces are reviewed. In the final fourth part of the book, gauge theory is presented; this differential-geometric method has brought to light how unwieldy smooth 4-manifolds truly are, and while bringing new insights, has raised more questions than answers. The structure of the book is modular, organized into a main track of about two hundred pages, augmented by extensive notes at the end of each chapter, where many extra details, proofs and developments are presented. To help the reader, the text is peppered with over 250 illustrations and has an extensive index.




The Fourth Dimension


Book Description

8 Lectures in Dornach, Nov 26, 1923 to Dec 22, 1923 (CW 351) In 1923 Rudolf Steiner predicted the dire state of today's honeybee. He stated that, within fifty to eighty years, we would see the consequences of mechanizing the forces that had previously operated organically in the beehive. Such practices include breeding queen bees artificially. The fact that over sixty percent of the American honeybee population has died during the past ten years, and that this trend is continuing around the world, should make us aware of the importance of the issues discussed in these lectures. Steiner began this series of lectures on bees in response to a question from an audience of workers at the Goetheanum. From physical depictions of the daily activities of bees to the most elevated esoteric insights, these lectures describe the unconscious wisdom of the beehive and its connection to our experience of health, culture, and the cosmos. Bees is essential reading for anyone interested in understanding the true nature of the honeybee, as well as those who wish to heal the contemporary crisis of the beehive. Bees includes an essay by David Adams, "From Queen Bee to Social Sculpture: The Artistic Alchemy of Joseph Beuys." The art and social philosophy of Joseph Beuys (1921-1986) is among the most influential of the twentieth century. He was strongly influenced by Rudolf Steiner's lectures on bees. The elemental imagery and its relationship to human society played an important role in Beuys's sculptures, drawings, installations, and performance art. Adams' essay on Beuys adds a whole new dimension to these lectures, generally considered to be directed more specifically to biodynamic methods and beekeeping. This volume consists of 8 lectures (of 15) from Mensch und Welt. Das Wirken des Geistes in der Natur. Über das Wesen der Bienen (GA 351).