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

The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition PDF Author: Linda Dalrymple Henderson
Publisher: MIT Press
ISBN: 0262536552
Category : Art
Languages : en
Pages : 759

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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.

Fourth Dimension

Fourth Dimension PDF Author: Eric Walters
Publisher: Penguin
ISBN: 0143198467
Category : Young Adult Fiction
Languages : en
Pages : 329

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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 Simply Explained

The Fourth Dimension Simply Explained PDF Author: Henry Parker Manning
Publisher:
ISBN:
Category : Fourth dimension
Languages : en
Pages : 266

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Book Description


Figures in the Fourth Dimension

Figures in the Fourth Dimension PDF Author: Ellen Rixford
Publisher:
ISBN: 9780578158655
Category : Mechanical movements
Languages : en
Pages : 511

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Book Description


Shadows of Reality

Shadows of Reality PDF Author: Tony Robbin
Publisher: Yale University Press
ISBN: 0300129629
Category : Art
Languages : en
Pages : 151

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Book Description
In this insightful book, which is a revisionist math history as well as a revisionist art history, Tony Robbin, well known for his innovative computer visualizations of hyperspace, investigates different models of the fourth dimension and how these are applied in art and physics. Robbin explores the distinction between the slicing, or Flatland, model and the projection, or shadow, model. He compares the history of these two models and their uses and misuses in popular discussions. Robbin breaks new ground with his original argument that Picasso used the projection model to invent cubism, and that Minkowski had four-dimensional projective geometry in mind when he structured special relativity. The discussion is brought to the present with an exposition of the projection model in the most creative ideas about space in contemporary mathematics such as twisters, quasicrystals, and quantum topology. Robbin clarifies these esoteric concepts with understandable drawings and diagrams. Robbin proposes that the powerful role of projective geometry in the development of current mathematical ideas has been long overlooked and that our attachment to the slicing model is essentially a conceptual block that hinders progress in understanding contemporary models of spacetime. He offers a fascinating review of how projective ideas are the source of some of today’s most exciting developments in art, math, physics, and computer visualization.

A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry)

A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry) PDF Author: Chris McMullen
Publisher:
ISBN: 9780615750040
Category :
Languages : en
Pages : 92

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Book Description
This colorful, visual introduction to the fourth dimension provides a clear explanation of the concepts and numerous illustrations. It is written with a touch of personality that makes this an engaging read instead of a dry math text. The content is very accessible, yet at the same time detailed enough to satisfy the interests of advanced readers. This book is devoted to geometry; there are no spiritual or religious components to this book. May you enjoy your journey into the fascinating world of the fourth dimension! Contents: Introduction Chapter 0: What Is a Dimension? Chapter 1: Dimensions Zero and One Chapter 2: The Second Dimension Chapter 3: Three-Dimensional Space Chapter 4: A Fourth Dimension of Space Chapter 5: Tesseracts and Hypercubes Chapter 6: Hypercube Patterns Chapter 7: Planes and Hyperplanes Chapter 8: Tesseracts in Perspective Chapter 9: Rotations in 4D Space Chapter 10: Unfolding a Tesseract Chapter 11: Cross Sections of a Tesseract Chapter 12: Living in a 4D House Further Reading Glossary About the Author Put on your spacesuit, strap on your safety harness, swallow your anti-nausea medicine, and enjoy this journey into a fourth dimension of space! 10D, 9D, 8D, 7D, 6D, 5D, 4D, 3D, 2D, 1D, 0D. Blast off!

Fourth Dimension in Building

Fourth Dimension in Building PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309048427
Category : Technology & Engineering
Languages : en
Pages : 117

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Book Description
Public facilities are valuable assets that can provide decades of high quality of service if they are effectively utilized. Despite effective planning, design, and management, sometimes users or owners change and have requirements different from those that the facility was initially intended to fulfill. In addition, the technologies sometimes change, making facilities obsolete before they have worn out or otherwise failed. This book explores the meaning of obsolescence as the term applies to buildings. It discusses the functional, economic, technological, social, legal, political, and cultural factors that can influence when obsolescence will occur and considers what design professional and building owners and users can do to delay and minimize the costs of obsolescence. The analyses apply to all buildings, but public facilities are given added attention because of their special management problems.

Frank Lloyd Wright's Living Space

Frank Lloyd Wright's Living Space PDF Author: Gail Satler
Publisher:
ISBN: 9780875805863
Category : Architecture
Languages : en
Pages : 210

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Book Description
This sociological analysis of Wright's architecture examines the interaction between people and the spaces they create. Satler shows how Wright explored a new architectural dimension, the space in which we live. Focusing on the Larkin Building (1904) and Unity Temple (1907), works that Wright considered important but that have received little attention, Satler delineates the social nature of space. She provides an analytic framework through which to understand Wright's buildings and his writings, revealing how the history of such works and cultural landscapes offer a basis for making social, political, and spatial choices about the future. Wright's specific architectural works provide a framework for constructing social histories of places and people because his designs represent a natural way to build and to live within a larger social landscape. This original study will appeal to sociologists, architects, urban and architectural historians, urban planners and anthropologists, and those interested in the work of Frank Lloyd Wright.

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

The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition PDF Author: Linda Dalrymple Henderson
Publisher: MIT Press
ISBN: 0262536552
Category : Art
Languages : en
Pages : 759

Get Book Here

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 Fourth Dimension

The Fourth Dimension PDF Author: Rudolf Steiner
Publisher: SteinerBooks
ISBN: 0880109491
Category : Education
Languages : en
Pages : 348

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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).

The Fourth Dimension

The Fourth Dimension PDF Author: Charles Howard Hinton
Publisher:
ISBN:
Category : Fourth dimension
Languages : en
Pages : 290

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Book Description