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

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The Fourth Dimension and Non-Euclidean Geometry in Modern Art

Author : Linda Dalrymple Henderson
Publisher : Unknown
Page : 453 pages
File Size : 53,6 Mb
Release : 1983
Category : Art
ISBN : 0691101426

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The Fourth Dimension and Non-Euclidean Geometry in Modern Art by Linda Dalrymple Henderson Pdf

The Description for this book, The Fourth Dimension And Non-Euclidean Geometry in Modern Art, will be forthcoming.

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

Author : Linda Dalrymple Henderson
Publisher : MIT Press
Page : 759 pages
File Size : 42,9 Mb
Release : 2018-05-18
Category : Art
ISBN : 9780262536554

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

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: Toward a Geometry of Higher Reality

Author : Rudy Rucker
Publisher : Courier Corporation
Page : 240 pages
File Size : 42,6 Mb
Release : 2014-08-18
Category : Science
ISBN : 9780486798196

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

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

Author : Mignon Nixon,Louise Bourgeois
Publisher : MIT Press
Page : 364 pages
File Size : 42,8 Mb
Release : 2005
Category : Art
ISBN : 0262140896

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Fantastic Reality by Mignon Nixon,Louise Bourgeois Pdf

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

The Mathematics of Harmony

Author : Alexey Stakhov
Publisher : World Scientific
Page : 745 pages
File Size : 52,7 Mb
Release : 2009
Category : Mathematics
ISBN : 9789812775832

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The Mathematics of Harmony by Alexey Stakhov Pdf

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."

Experiencing Geometry

Author : David Wilson Henderson,Daina Taimin̦a
Publisher : Prentice Hall
Page : 438 pages
File Size : 55,5 Mb
Release : 2005
Category : Mathematics
ISBN : STANFORD:36105114443091

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Experiencing Geometry by David Wilson Henderson,Daina Taimin̦a Pdf

The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experience--including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting, challenging problems encourage readers to gather and discuss their reasonings and understanding. The volume provides an understanding of the possible shapes of the physical universe. The authors provide extensive information on historical strands of geometry, straightness on cylinders and cones and hyperbolic planes, triangles and congruencies, area and holonomy, parallel transport, SSS, ASS, SAA, and AAA, parallel postulates, isometries and patterns, dissection theory, square roots, pythagoras and similar triangles, projections of a sphere onto a plane, inversions in circles, projections (models) of hyperbolic planes, trigonometry and duality, 3-spheres and hyperbolic 3-spaces and polyhedra. For mathematics educators and other who need to understand the meaning of geometry.

Against the Day

Author : Thomas Pynchon
Publisher : Penguin
Page : 1584 pages
File Size : 42,9 Mb
Release : 2012-06-13
Category : Fiction
ISBN : 9781101594667

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Against the Day by Thomas Pynchon Pdf

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.

From Energy to Information

Author : Bruce Clarke,Linda Dalrymple Henderson
Publisher : Stanford University Press
Page : 466 pages
File Size : 47,6 Mb
Release : 2002
Category : Science
ISBN : 0804742103

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From Energy to Information by Bruce Clarke,Linda Dalrymple Henderson Pdf

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.

The Emergence of the Fourth Dimension

Author : Mark Blacklock
Publisher : Oxford University Press
Page : 256 pages
File Size : 45,9 Mb
Release : 2018-04-05
Category : Literary Criticism
ISBN : 9780192551887

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The Emergence of the Fourth Dimension by Mark Blacklock Pdf

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.

Shadows of Reality

Author : Tony Robbin
Publisher : Yale University Press
Page : 151 pages
File Size : 46,8 Mb
Release : 2008-10-01
Category : Art
ISBN : 9780300129625

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Shadows of Reality by Tony Robbin Pdf

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.

What was Man Created For?

Author : Nikolaĭ Fedorovich Fedorov
Publisher : Hyperion Books
Page : 280 pages
File Size : 53,5 Mb
Release : 1990
Category : Philosophy
ISBN : UOM:39015019836249

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What was Man Created For? by Nikolaĭ Fedorovich Fedorov Pdf

Taken from the The Philosophy of the Common Task and Essays, this is a selection of the writings of the Russian mystic philosopher who had an influence on such contemporaries as Tolstoy and Solov'ev. His ideas, once thought far-fetched, are now found to have been prophetic. He lived at a time of intense intellectual controversy, artistic creativity and scientific development in Russia, while at the same time, there was growing world-wide militarism, civic strife and labour unrest. Fedorov was deeply distressed by this state of discord and looked for a means to develop brotherly feeling and ways to divert human energies from war towards dealing more effectively with such natural disasters as floods, droughts, earthquakes and hurricanes.

Einstein, Picasso

Author : Arthur I Miller
Publisher : Basic Books
Page : 370 pages
File Size : 54,7 Mb
Release : 2008-08-01
Category : Science
ISBN : 9780786723133

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Einstein, Picasso by Arthur I Miller Pdf

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.

Vibratory Modernism

Author : A. Enns,S. Trower
Publisher : Springer
Page : 255 pages
File Size : 42,7 Mb
Release : 2013-07-19
Category : Art
ISBN : 9781137027252

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Vibratory Modernism by A. Enns,S. Trower Pdf

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.

The Fourth Dimension

Author : Charles Howard Hinton
Publisher : Good Press
Page : 242 pages
File Size : 40,7 Mb
Release : 2022-08-21
Category : Fiction
ISBN : EAN:4064066418861

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The Fourth Dimension by Charles Howard Hinton Pdf

"The Fourth Dimension" by Charles Howard Hinton. Published by Good Press. Good Press publishes a wide range of titles that encompasses every genre. From well-known classics & literary fiction and non-fiction to forgotten−or yet undiscovered gems−of world literature, we issue the books that need to be read. Each Good Press edition has been meticulously edited and formatted to boost readability for all e-readers and devices. Our goal is to produce eBooks that are user-friendly and accessible to everyone in a high-quality digital format.