Geometry of Four Dimensions, by Henry Parker Manning.

Geometry of Four Dimensions, by Henry Parker Manning. PDF Author: Henry Parker Manning
Publisher: Scholarly Pub Office Univ of
ISBN: 9781418167356
Category : Mathematics
Languages : en
Pages : 376

Get Book Here

Book Description

Geometry of Four Dimensions, by Henry Parker Manning.

Geometry of Four Dimensions, by Henry Parker Manning. PDF Author: Henry Parker Manning
Publisher: Scholarly Pub Office Univ of
ISBN: 9781418167356
Category : Mathematics
Languages : en
Pages : 376

Get Book Here

Book Description


Geometry of Four Dimensions

Geometry of Four Dimensions PDF Author: Henry Parker Manning
Publisher:
ISBN:
Category : Hyperspace
Languages : en
Pages : 375

Get Book Here

Book Description


The Fourth Dimension Simply Explained

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

Get Book Here

Book Description


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 Emergence of the Fourth Dimension

The Emergence of the Fourth Dimension PDF Author: Mark Blacklock
Publisher: Oxford University Press
ISBN: 0198755481
Category : Literary Criticism
Languages : en
Pages : 246

Get Book Here

Book Description
This volume examines the emergence of the idea of the fourth dimension in fiction of the fin de siecle and how these new theories of the possibilities of time and space influenced writers such as Joseph Conrad, Ford Madox Ford, H.G. Wells, Henry James, H. P. Lovecraft, and others.

The Fourth Dimension Simply Explained (Illustrated Edition) (Dodo Press)

The Fourth Dimension Simply Explained (Illustrated Edition) (Dodo Press) PDF Author: Henry P. Manning
Publisher:
ISBN: 9781409989240
Category : Mathematics
Languages : en
Pages : 210

Get Book Here

Book Description
Henry Parker Manning (1859-1956) was an American professor of mathematics. In 1889, he entered Johns Hopkins University to study mathematics, astronomy and physics. When he received his Ph. D. degree in 1891, his first printed paper had already appeared in the American Journal of Mathematics. When he was nearly seventy, Manning learned early Egyptian hieroglypics, and collaborated with Arnold Buffum Chace in his publication of the Rhind Mathematical Papyrus. He retired in 1930 and spent several years as associate editor of the American Mathematical Monthly. Amongst his other works are Non-Euclidean Geometry (1901), Irrational Numbers and Their Representation by Sequences and Series (1906), The Fourth Dimension Simply Explained (1910) and Geometry of Four Dimensions (1914).

Shadows of Reality

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

Get Book Here

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.

The Fourth Dimension

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

Get Book Here

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 Fractal Dimension of Architecture

The Fractal Dimension of Architecture PDF Author: Michael J. Ostwald
Publisher: Birkhäuser
ISBN: 3319324268
Category : Mathematics
Languages : en
Pages : 429

Get Book Here

Book Description
Fractal analysis is a method for measuring, analysing and comparing the formal or geometric properties of complex objects. In this book it is used to investigate eighty-five buildings that have been designed by some of the twentieth-century’s most respected and celebrated architects. Including designs by Le Corbusier, Eileen Gray, Frank Lloyd Wright, Robert Venturi, Frank Gehry, Peter Eisenman, Richard Meier and Kazuyo Sejima amongst others, this book uses mathematics to analyse arguments and theories about some of the world’s most famous designs. Starting with 625 reconstructed architectural plans and elevations, and including more than 200 specially prepared views of famous buildings, this book presents the results of the largest mathematical study ever undertaken into architectural design and the largest single application of fractal analysis presented in any field. The data derived from this study is used to test three overarching hypotheses about social, stylistic and personal trends in design, along with five celebrated arguments about twentieth-century architecture. Through this process the book offers a unique mathematical insight into the history and theory of design.

The Annotated Flatland

The Annotated Flatland PDF Author: Ian Stewart
Publisher: Basic Books
ISBN: 0786721839
Category : Science
Languages : en
Pages : 274

Get Book Here

Book Description
Flatland is a unique, delightful satire that has charmed readers for over a century. Published in 1884 by the English clergyman and headmaster Edwin A. Abbott, it is the fanciful tale of A. Square, a two-dimensional being who is whisked away by a mysterious visitor to The Land of Three Dimensions, an experience that forever alters his worldview. Like the original, Ian Stewart's commentary takes readers on a strange and wonderful journey. With clarity and wit, Stewart illuminates Abbott's numerous Victorian references and touches on such diverse topics as ancient Babylon, Karl Marx, Mary Shelley's Frankenstein, Mt. Everest, H.G. Wells, and phrenology. The Annotated Flatland makes fascinating connections between Flatland and Abbott's era, resulting in a classic to rival Abbott's own, and a book that will inspire and delight curious readers for generations to come.