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

Author : Linda Dalrymple Henderson
Publisher : MIT Press
ISBN 13 : 0262536552
Total Pages : 759 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition by : Linda Dalrymple Henderson

Download or read book The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition written by Linda Dalrymple Henderson and published by MIT Press. This book was released on 2018-05-18 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Emergence of the Fourth Dimension

Author : Mark Blacklock
Publisher : Oxford University Press
ISBN 13 : 0192551884
Total Pages : 384 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis The Emergence of the Fourth Dimension by : Mark Blacklock

Download or read book The Emergence of the Fourth Dimension written by Mark Blacklock and published by Oxford University Press. This book was released on 2018-04-05 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Fourth Dimension: Toward a Geometry of Higher Reality

Author : Rudy Rucker
Publisher : Courier Corporation
ISBN 13 : 0486779785
Total Pages : 243 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis The Fourth Dimension: Toward a Geometry of Higher Reality by : Rudy Rucker

Download or read book The Fourth Dimension: Toward a Geometry of Higher Reality written by Rudy Rucker and published by Courier Corporation. This book was released on 2014-09-17 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Shadows of Reality

Author : Tony Robbin
Publisher : Yale University Press
ISBN 13 : 0300129629
Total Pages : 151 pages
Book Rating : 4.3/5 (1 download)

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Book Synopsis Shadows of Reality by : Tony Robbin

Download or read book Shadows of Reality written by Tony Robbin and published by Yale University Press. This book was released on 2008-10-01 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Mathematics of Harmony

Author : Alexey Stakhov
Publisher : World Scientific
ISBN 13 : 9812775838
Total Pages : 745 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis The Mathematics of Harmony by : Alexey Stakhov

Download or read book The Mathematics of Harmony written by Alexey Stakhov and published by World Scientific. This book was released on 2009 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."

Against the Day

Author : Thomas Pynchon
Publisher : Penguin
ISBN 13 : 1101594667
Total Pages : 1541 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Against the Day by : Thomas Pynchon

Download or read book Against the Day written by Thomas Pynchon and published by Penguin. This book was released on 2012-06-13 with total page 1541 pages. Available in PDF, EPUB and Kindle. Book excerpt: “[Pynchon's] funniest and arguably his most accessible novel.” —The New York Times Book Review “Raunchy, funny, digressive, brilliant.” —USA Today “Rich and sweeping, wild and thrilling.” —The Boston Globe 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, 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.

From Energy to Information

Author : Bruce Clarke
Publisher : Stanford University Press
ISBN 13 : 9780804742108
Total Pages : 466 pages
Book Rating : 4.7/5 (421 download)

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Book Synopsis From Energy to Information by : Bruce Clarke

Download or read book From Energy to Information written by Bruce Clarke and published by Stanford University Press. This book was released on 2002 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Einstein, Picasso

Author : Arthur I Miller
Publisher : Basic Books
ISBN 13 : 0786723130
Total Pages : 370 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis Einstein, Picasso by : Arthur I Miller

Download or read book Einstein, Picasso written by Arthur I Miller and published by Basic Books. This book was released on 2008-08-01 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most important scientist of the twentieth century and the most important artist had their periods of greatest creativity almost simultaneously and in remarkably similar circumstances. This fascinating parallel biography of Albert Einstein and Pablo Picasso as young men examines their greatest creations -- Picasso's Les Demoiselles d'Avignon and Einstein's special theory of relativity. Miller shows how these breakthroughs arose not only from within their respective fields but from larger currents in the intellectual culture of the times. Ultimately, Miller shows how Einstein and Picasso, in a deep and important sense, were both working on the same problem.

The Non-Euclidean Revolution

Author : Richard J. Trudeau
Publisher : Springer Science & Business Media
ISBN 13 : 0817647821
Total Pages : 282 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis The Non-Euclidean Revolution by : Richard J. Trudeau

Download or read book The Non-Euclidean Revolution written by Richard J. Trudeau and published by Springer Science & Business Media. This book was released on 2008-01-21 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting; second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology; third, on the most speculative level, he questions the possibility of absolute knowledge of the world. A portion of the book won the Pólya Prize, a distinguished award from the Mathematical Association of America.

Hyperspace

Author : Michio Kaku
Publisher : Oxford University Press
ISBN 13 : 0199857768
Total Pages : 377 pages
Book Rating : 4.1/5 (998 download)

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Book Synopsis Hyperspace by : Michio Kaku

Download or read book Hyperspace written by Michio Kaku and published by Oxford University Press. This book was released on 1994-03-24 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are there other dimensions beyond our own? Is time travel possible? Can we change the past? Are there gateways to parallel universes? All of us have pondered such questions, but there was a time when scientists dismissed these notions as outlandish speculations. Not any more. Today, they are the focus of the most intense scientific activity in recent memory. In Hyperspace, Michio Kaku, author of the widely acclaimed Beyond Einstein and a leading theoretical physicist, offers the first book-length tour of the most exciting (and perhaps most bizarre) work in modern physics, work which includes research on the tenth dimension, time warps, black holes, and multiple universes. The theory of hyperspace (or higher dimensional space)--and its newest wrinkle, superstring theory--stand at the center of this revolution, with adherents in every major research laboratory in the world, including several Nobel laureates. Beginning where Hawking's Brief History of Time left off, Kaku paints a vivid portrayal of the breakthroughs now rocking the physics establishment. Why all the excitement? As the author points out, for over half a century, scientists have puzzled over why the basic forces of the cosmos--gravity, electromagnetism, and the strong and weak nuclear forces--require markedly different mathematical descriptions. But if we see these forces as vibrations in a higher dimensional space, their field equations suddenly fit together like pieces in a jigsaw puzzle, perfectly snug, in an elegant, astonishingly simple form. This may thus be our leading candidate for the Theory of Everything. If so, it would be the crowning achievement of 2,000 years of scientific investigation into matter and its forces. Already, the theory has inspired several thousand research papers, and has been the focus of over 200 international conferences. Michio Kaku is one of the leading pioneers in superstring theory and has been at the forefront of this revolution in modern physics. With Hyperspace, he has produced a book for general readers which conveys the vitality of the field and the excitement as scientists grapple with the meaning of space and time. It is an exhilarating look at physics today and an eye-opening glimpse into the ultimate nature of the universe.

The Fourth Dimension

Author : Charles Howard Hinton
Publisher :
ISBN 13 :
Total Pages : 290 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Fourth Dimension by : Charles Howard Hinton

Download or read book The Fourth Dimension written by Charles Howard Hinton and published by . This book was released on 1906 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fantastic Reality

Author : Mignon Nixon
Publisher : MIT Press
ISBN 13 : 9780262140898
Total Pages : 364 pages
Book Rating : 4.1/5 (48 download)

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Book Synopsis Fantastic Reality by : Mignon Nixon

Download or read book Fantastic Reality written by Mignon Nixon and published by MIT Press. This book was released on 2005 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: A critical study of Louise Bourgeois's art from the 1940s to the 1980s: its departure from surrealism and its dialogue with psychoanalysis.

Vibratory Modernism

Author : A. Enns
Publisher : Springer
ISBN 13 : 1137027258
Total Pages : 255 pages
Book Rating : 4.1/5 (37 download)

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Book Synopsis Vibratory Modernism by : A. Enns

Download or read book Vibratory Modernism written by A. Enns and published by Springer. This book was released on 2013-07-19 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vibratory Modernism is a collection of original essays that show how vibrations provide a means of bridging science and art - two fields that became increasingly separate in the nineteenth and early twentieth centuries.

Duchamp in Context

Author : Linda Dalrymple Henderson
Publisher :
ISBN 13 : 9780691055510
Total Pages : 374 pages
Book Rating : 4.0/5 (555 download)

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Book Synopsis Duchamp in Context by : Linda Dalrymple Henderson

Download or read book Duchamp in Context written by Linda Dalrymple Henderson and published by . This book was released on 1998 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Linda Henderson's work stands out as a truly original contribution. . . . She has enlarged and illuminated our understanding of the most intelligent, elusive, and influential artist of the twentieth century."--Calvin Tomkins, author of "Duchamp: A Biography" "Henderson's book is the most thorough and dedicated analysis ever written about Duchamp's work. It represents the single most complete study of the "Large Glass" and its scientific sources-one that is unlikely to be surpassed."--Francis Naumann, author of "Marcel Duchamp: The Art of Making Art in the Age of Mechanical Reproduction" "In tracing the emergence of Duchamp's artworks from their actual cultural/scientific context, Henderson has produced what is quite simply an indispensable book."--Marjorie Perloff, author of "Wittgenstein's Ladder and Differentials: Poetry, Poetics, Pedagogy" "Among the readers of Linda Henderson's brilliant book, historians of science will be especially rewarded by her thorough research into an area hitherto insufficiently explored-how artists and other laypersons during Duchamp's time came to learn of, and draw upon, the stream of exciting results of early twentieth century science."--Gerald Holton, Harvard University

The Fourth Dimension and Non-Euclidean Geometry in Modern Art

Author : Linda D. Henderson
Publisher :
ISBN 13 : 9780608091174
Total Pages : 562 pages
Book Rating : 4.0/5 (911 download)

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Book Synopsis The Fourth Dimension and Non-Euclidean Geometry in Modern Art by : Linda D. Henderson

Download or read book The Fourth Dimension and Non-Euclidean Geometry in Modern Art written by Linda D. Henderson and published by . This book was released on with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Fourth Dimension

Author : Rudy von Bitter Rucker
Publisher : Houghton Mifflin Harcourt
ISBN 13 : 9780395393888
Total Pages : 244 pages
Book Rating : 4.3/5 (938 download)

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Book Synopsis The Fourth Dimension by : Rudy von Bitter Rucker

Download or read book The Fourth Dimension written by Rudy von Bitter Rucker and published by Houghton Mifflin Harcourt. This book was released on 1985 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed description of what the fourth dimension would be like.

A Forest of Symbols

Author : Andrei Pop
Publisher : Zone Books
ISBN 13 : 1935408364
Total Pages : 321 pages
Book Rating : 4.9/5 (354 download)

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Book Synopsis A Forest of Symbols by : Andrei Pop

Download or read book A Forest of Symbols written by Andrei Pop and published by Zone Books. This book was released on 2019-10-18 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this groundbreaking book, Andrei Pop presents a lucid reassessment of those writers and artists in the late nineteenth century whose work merits the adjective “symbolist.” For Pop, this term denotes an art that is self-conscious about its modes of making meaning and he argues that these symbolist practices, which sought to provide more direct access to the viewer by constant revision of its material means of meaning-making (brushstrokes on a canvas, words on a page), are crucial to understanding the genesis of modern art. The symbolists saw art not as a social revolution, but a revolution in sense and in how we conceptualize the world. At the same time, the concerns of symbolist painters and poets were shared to a remarkable degree by theoretical scientists of the period, especially by mathematicians and logicians who were dissatisfied with the strict empiricism dominant in their disciplines, and which made shared knowledge seem unattainable. A crisis of sense made art and science look for conceptual foundations underlying the diverging subjective responses and perceptions of individuals. Unlike other studies of this period, Pop’s focus is not on how individual artists may have absorbed bits of scientific theories, but rather on the philosophical questions that were relevant to both domains. The problem of subjectivity in particular, of what in one’s experience can and cannot be shared, was crucial to the possibility of collaboration within science and to the communication of artistic innovation. Pop’s brilliant close readings of the literary and visual practices of Manet and Mallarmé, of drawings by Ernst Mach, William James and Wittgenstein, of experiments with color by Bracquemond and Van Gogh, and of the philosophical systems of Frege and Russell add up to a startling but coherent picture of the symbolist heritage of modernity and its consequences.