Art Meets Mathematics In The Fourth Dimension

Author : Stephen Leon Lipscomb
Publisher : Springer
Page : 184 pages
File Size : 49,5 Mb
Release : 2014-10-13
Category : Mathematics
ISBN : 9783319062549

Get Book

Art Meets Mathematics in the Fourth Dimension by Stephen Leon Lipscomb Pdf

To see objects that live in the fourth dimension we humans would need to add a fourth dimension to our three-dimensional vision. An example of such an object that lives in the fourth dimension is a hyper-sphere or “3-sphere.” The quest to imagine the elusive 3-sphere has deep historical roots: medieval poet Dante Alighieri used a 3-sphere to convey his allegorical vision of the Christian afterlife in his Divine Comedy. In 1917, Albert Einstein visualized the universe as a 3-sphere, describing this imagery as “the place where the reader’s imagination boggles. Nobody can imagine this thing.” Over time, however, understanding of the concept of a dimension evolved. By 2003, a researcher had successfully rendered into human vision the structure of a 4-web (think of an ever increasingly-dense spider’s web). In this text, Stephen Lipscomb takes his innovative dimension theory research a step further, using the 4-web to reveal a new partial image of a 3-sphere. Illustrations support the reader’s understanding of the mathematics behind this process. Lipscomb describes a computer program that can produce partial images of a 3-sphere and suggests methods of discerning other fourth-dimensional objects that may serve as the basis for future artwork.

Author : Stephen Lipscomb
Publisher : Unknown
Page : 204 pages
File Size : 47,7 Mb
Release : 2014-10-31
Category : Electronic
ISBN : 3319062557

Get Book

Art Meets Mathematics in the Fourth Dimension by Stephen Lipscomb Pdf

Author : Anonim
Publisher : Unknown
Page : 176 pages
File Size : 49,9 Mb
Release : 2012-12-17
Category : Electronic
ISBN : 0615741290

Get Book

Incipit by Anonim Pdf

Author : Linda Dalrymple Henderson
Publisher : MIT Press
Page : 759 pages
File Size : 45,9 Mb
Release : 2018-05-18
Category : Art
ISBN : 9780262536554

Get Book

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.

Author : Tony Robbin
Publisher : Yale University Press
Page : 151 pages
File Size : 45,9 Mb
Release : 2008-10-01
Category : Art
ISBN : 9780300129625

Get Book

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.

Author : Tony Robbin
Publisher : Little Brown GBR
Page : 199 pages
File Size : 48,8 Mb
Release : 1992
Category : Art
ISBN : 082121909X

Get Book

Fourfield by Tony Robbin Pdf

Discusses space in art and mathematics, the geometry of the fourth dimension, pattern recognition, time in space, and spatial concepts

Author : Arnd Schneider,Christopher Wright
Publisher : Routledge
Page : 318 pages
File Size : 51,7 Mb
Release : 2020-09-02
Category : Social Science
ISBN : 9781000323627

Get Book

Contemporary Art and Anthropology by Arnd Schneider,Christopher Wright Pdf

Contemporary Art and Anthropology takes a new and exciting approach to representational practices within contemporary art and anthropology. Traditionally, the anthropology of art has tended to focus on the interpretation of tribal artifacts but has not considered the impact such art could have on its own ways of making and presenting work. The potential for the contemporary art scene to suggest innovative representational practices has been similarly ignored. This book challenges the reluctance that exists within anthropology to pursue alternative strategies of research, creation and exhibition, and argues that contemporary artists and anthropologists have much to learn from each others' practices. The contributors to this pioneering book consider the work of artists such as Susan Hiller, Francesco Clemente and Rimer Cardillo, and in exploring topics such as the possibility of shared representational values, aesthetics and modernity, and tattooing, they suggest productive new directions for practices in both fields.

Author : Stephen Wilson
Publisher : MIT Press
Page : 980 pages
File Size : 44,9 Mb
Release : 2003-02-28
Category : Social Science
ISBN : 0262731584

Get Book

Information Arts by Stephen Wilson Pdf

An introduction to the work and ideas of artists who use—and even influence—science and technology. A new breed of contemporary artist engages science and technology—not just to adopt the vocabulary and gizmos, but to explore and comment on the content, agendas, and possibilities. Indeed, proposes Stephen Wilson, the role of the artist is not only to interpret and to spread scientific knowledge, but to be an active partner in determining the direction of research. Years ago, C. P. Snow wrote about the "two cultures" of science and the humanities; these developments may finally help to change the outlook of those who view science and technology as separate from the general culture. In this rich compendium, Wilson offers the first comprehensive survey of international artists who incorporate concepts and research from mathematics, the physical sciences, biology, kinetics, telecommunications, and experimental digital systems such as artificial intelligence and ubiquitous computing. In addition to visual documentation and statements by the artists, Wilson examines relevant art-theoretical writings and explores emerging scientific and technological research likely to be culturally significant in the future. He also provides lists of resources including organizations, publications, conferences, museums, research centers, and Web sites.

Author : Kirsi Peltonen,Taneli Luotoniemi
Publisher : Aalto korkeakoulusäätiö
Page : 328 pages
File Size : 43,5 Mb
Release : 2023-11-07
Category : Mathematics
ISBN : 9789526414010

Get Book

Shapes in Action by Kirsi Peltonen,Taneli Luotoniemi Pdf

Shapes in Action is a book for all those interested in interdisciplinary research and education. It showcases explorations in the realms of mathematics, art, design and architecture at Aalto University in Finland. For a decade, Aalto Math&Arts has been a platform for students and teachers from diverse fields to broaden their understanding of the nature of mathematics and its potential relation to arts, design and architecture. Shapes in Action captures the challenges and rewards of seeking a common language and building collaboration. Contributions by various authors offer insights into the connections between mathematics and arts – both within and beyond academia. Shapes in Action is richly illustrated with photographs showcasing the works created by students in the Aalto Math&Arts courses.

Author : Kristóf Fenyvesi,Tuuli Lähdesmäki
Publisher : Birkhäuser
Page : 290 pages
File Size : 46,9 Mb
Release : 2017-11-28
Category : Mathematics
ISBN : 9783319572598

Get Book

Aesthetics of Interdisciplinarity: Art and Mathematics by Kristóf Fenyvesi,Tuuli Lähdesmäki Pdf

This anthology fosters an interdisciplinary dialogue between the mathematical and artistic approaches in the field where mathematical and artistic thinking and practice merge. The articles included highlight the most significant current ideas and phenomena, providing a multifaceted and extensive snapshot of the field and indicating how interdisciplinary approaches are applied in the research of various cultural and artistic phenomena. The discussions are related, for example, to the fields of aesthetics, anthropology, art history, art theory, artistic practice, cultural studies, ethno-mathematics, geometry, mathematics, new physics, philosophy, physics, study of visual illusions, and symmetry studies. Further, the book introduces a new concept: the interdisciplinary aesthetics of mathematical art, which the editors use to explain the manifold nature of the aesthetic principles intertwined in these discussions.

Author : Ivars Peterson
Publisher : Turner Publishing Company
Page : 447 pages
File Size : 52,6 Mb
Release : 2008-05-02
Category : Art
ISBN : 9780470341124

Get Book

Fragments of Infinity by Ivars Peterson Pdf

A visual journey to the intersection of math and imagination, guided by an award-winning author Mathematics is right brain work, art left brain, right? Not so. This intriguing book shows how intertwined the disciplines are. Portraying the work of many contemporary artists in media from metals to glass to snow, Fragments of Infinity draws us into the mysteries of one-sided surfaces, four-dimensional spaces, self-similar structures, and other bizarre or seemingly impossible features of modern mathematics as they are given visible expression. Featuring more than 250 beautiful illustrations and photographs of artworks ranging from sculptures both massive and minute to elaborate geometric tapestries and mosaics of startling complexity, this is an enthralling exploration of abstract shapes, space, and time made tangible. Ivars Peterson (Washington, DC) is the mathematics writer and online editor of Science News and the author of The Jungles of Randomness (Wiley: 0-471-16449-6), as well as four previous trade books.

Author : Bharath Sriraman
Publisher : Springer Nature
Page : 3221 pages
File Size : 41,9 Mb
Release : 2024-06-11
Category : Electronic
ISBN : 9783031408465

Get Book

Handbook of the History and Philosophy of Mathematical Practice by Bharath Sriraman Pdf

Author : Linda D. Henderson
Publisher : Unknown
Page : 562 pages
File Size : 47,8 Mb
Release : 2024-06-11
Category : Electronic
ISBN : 0608091170

Get Book

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

Author : Rostam J. Neuwirth
Publisher : Routledge
Page : 268 pages
File Size : 49,8 Mb
Release : 2018-05-16
Category : Language Arts & Disciplines
ISBN : 9781351170185

Get Book

Law in the Time of Oxymora by Rostam J. Neuwirth Pdf

What do different concepts like true lie, bad luck, honest thief, old news, spacetime, glocalization, symplexity, sustainable development, constant change, soft law, substantive due process, pure law, bureaucratic efficiency and global justice have in common? What connections do they share with innumerable paradoxes, like the ones of happiness, time, globalization, sex, and of free will and fate? Law in the Time of Oxymora provides answers to these conundrums by critically comparing the apparent rise in recent years of the use of rhetorical figures called "essentially oxymoronic concepts" (i.e. oxymoron, enantiosis and paradoxes) in the areas of art, science and law. Albeit to varying degrees, these concepts share the quality of giving expression to apparent contradictions. Through this quality, they also challenge the scientific paradigm rooted in the dualistic thinking and binary logic that is traditionally used in the West, as opposed to the East, where a paradoxical mode of thinking and fuzzy logic is said to have been cultivated. Following a review of oxymora and paradoxes in art and various scientific writings, hundreds of "hard cases" featuring oxymora and a comprehensive review of the legal literature are discussed, revealing evidence suggesting that the present scientific paradigm of dualism alone will no longer be able to tackle the challenges arising from increasing diversity and complexity coupled with an apparent acceleration of change. Law in the Time of Oxymora reaches the surprising conclusion that essentially oxymoronic concepts may inaugurate a new era of cognition, involving the ways the senses interact and how we reason, think and make decisions in law and in life.

Author : Rudy Rucker
Publisher : Courier Corporation
Page : 240 pages
File Size : 49,9 Mb
Release : 2014-08-18
Category : Science
ISBN : 9780486798196

Get Book

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.