The Fourth Dimension And Non Euclidean Geometry In Modern Art


The Fourth Dimension And Non Euclidean Geometry In Modern Art
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The Fourth Dimension And Non Euclidean Geometry In Modern Art Revised Edition


The Fourth Dimension And Non Euclidean Geometry In Modern Art Revised Edition
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Author : Linda Dalrymple Henderson
language : en
Publisher: MIT Press
Release Date : 2018-05-18

The Fourth Dimension And Non Euclidean Geometry In Modern Art Revised Edition written by Linda Dalrymple Henderson and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-18 with Art categories.


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 And Non Euclidean Geometry In Modern Art


The Fourth Dimension And Non Euclidean Geometry In Modern Art
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Author : Linda D. Henderson
language : en
Publisher:
Release Date :

The Fourth Dimension And Non Euclidean Geometry In Modern Art written by Linda D. Henderson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Geometry Relativity And The Fourth Dimension


Geometry Relativity And The Fourth Dimension
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Author : Rudolf Rucker
language : en
Publisher: Courier Corporation
Release Date : 2012-06-08

Geometry Relativity And The Fourth Dimension written by Rudolf Rucker and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-08 with Science categories.


Exposition of fourth dimension, concepts of relativity as Flatland characters continue adventures. Topics include curved space time as a higher dimension, special relativity, and shape of space-time. Includes 141 illustrations.



The Emergence Of The Fourth Dimension


The Emergence Of The Fourth Dimension
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Author : Mark Blacklock
language : en
Publisher: Oxford University Press
Release Date : 2018-04-05

The Emergence Of The Fourth Dimension written by Mark Blacklock and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-05 with Literary Criticism categories.


The Emergence of the Fourth Dimension describes the development and proliferation of the idea of higher dimensional space in the late nineteenth- and early twentieth-centuries. An idea from mathematics that was appropriated by occultist thought, it emerged in the fin de siècle as a staple of genre fiction and influenced a number of important Modernist writers and artists. Providing a context for thinking of space in dimensional terms, the volume describes an active interplay between self-fashioning disciplines and a key moment in the popularisation of science. It offers new research into spiritualism and the Theosophical Society and studies a series of curious hybrid texts. Examining works by Joseph Conrad, Ford Madox Ford, H.G. Wells, Henry James, H. P. Lovecraft, and others, the volume explores how new theories of the possibilities of time and space influenced fiction writers of the period, and how literature shaped, and was in turn shaped by, the reconfiguration of imaginative space occasioned by the n-dimensional turn. A timely study of the interplay between philosophy, literature, culture, and mathematics, it offers a rich resource for readers interested in nineteenth century literature, Modernist studies, science fiction, and gothic scholarship.



From Energy To Information


From Energy To Information
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Author : Bruce Clarke
language : en
Publisher: Stanford University Press
Release Date : 2002

From Energy To Information written by Bruce Clarke and has been published by Stanford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.


This book offers an innovative examination of the interactions of science and technology, art, and literature in the nineteenth and twentieth centuries. Scholars in the history of art, literature, architecture, computer science, and media studies focus on five historical themes in the transition from energy to information: thermodynamics, electromagnetism, inscription, information theory, and virtuality. Different disciplines are grouped around specific moments in the history of science and technology in order to sample the modes of representation invented or adapted by each field in response to newly developed scientific concepts and models. By placing literary fictions and the plastic arts in relation to the transition from the era of energy to the information age, this collection of essays discovers unexpected resonances among concepts and materials not previously brought into juxtaposition. In particular, it demonstrates the crucial centrality of the theme of energy in modernist discourse. Overall, the volume develops the scientific and technological side of the shift from modernism to postmodernism in terms of the conceptual crossover from energy to information. The contributors are Christoph Asendorf, Ian F. A. Bell, Robert Brain, Bruce Clarke, Charlotte Douglas, N. Katherine Hayes, Linda Dalrymple Henderson, Bruce J. Hunt, Douglas Kahn, Timothy Lenoir, W. J. T. Mitchell, Marcos Novak, Edward Shanken, Richard Shiff, David Tomas, Sha Xin Wei, and Norton Wise.



Shadows Of Reality


Shadows Of Reality
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Author : Tony Robbin
language : en
Publisher: Yale University Press
Release Date : 2008-10-01

Shadows Of Reality written by Tony Robbin and has been published by Yale University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-01 with Art categories.


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.



The Fourth Dimension Toward A Geometry Of Higher Reality


The Fourth Dimension Toward A Geometry Of Higher Reality
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Author : Rudy Rucker
language : en
Publisher: Courier Corporation
Release Date : 2014-08-18

The Fourth Dimension Toward A Geometry Of Higher Reality written by Rudy Rucker and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-18 with Science categories.


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.



Fantastic Reality


Fantastic Reality
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Author : Mignon Nixon
language : en
Publisher: MIT Press
Release Date : 2005

Fantastic Reality written by Mignon Nixon and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Art categories.


A critical study of Louise Bourgeois's art from the 1940s to the 1980s: its departure from surrealism and its dialogue with psychoanalysis.



Against The Day


Against The Day
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Author : Thomas Pynchon
language : en
Publisher: Penguin
Release Date : 2012-06-13

Against The Day written by Thomas Pynchon and has been published by Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-13 with Fiction categories.


A New York Times Notable Book of the Year, a Washington Post Best Book of the Year Spanning the era between the Chicago World’s Fair of 1893 and the years just after World War I, and constantly moving between locations across the globe (and to a few places not strictly speaking on the map at all), Against the Day unfolds with a phantasmagoria of characters that includes anarchists, balloonists, gamblers, drug enthusiasts, mathematicians, mad scientists, shamans, spies, and hired guns. As an era of uncertainty comes crashing down around their ears and an unpredictable future commences, these folks are mostly just trying to pursue their lives. Sometimes they manage to catch up; sometimes it’s their lives that pursue them.



The Mathematics Of Harmony


The Mathematics Of Harmony
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Author : Alexey Stakhov
language : en
Publisher: World Scientific
Release Date : 2009

The Mathematics Of Harmony written by Alexey Stakhov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science."