Geometry Relativity and the Fourth Dimension

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.

Author: Rudolf Rucker

Publisher: Courier Corporation

ISBN: 9780486140339

Category: Science

Page: 160

View: 428

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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.
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The Fourth Dimension

These lectures were published by Dover Publications in 1977 , under the title Geometry , Relativity and the Fourth Dimension . In the seven years since then , I've learned a lot more about the fourth dimension . In writing The Fourth ...

Author: Rudy von Bitter Rucker

Publisher: Houghton Mifflin Harcourt

ISBN: 0395393884

Category: Science

Page: 228

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A detailed description of what the fourth dimension would be like.
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The Fourth Dimension Toward a Geometry of Higher Reality

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.

Author: Rudy Rucker

Publisher: Courier Corporation

ISBN: 9780486779782

Category: Science

Page: 240

View: 442

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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.
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The Fourth Dimension Toward a Geometry of Higher Reality

These lectures were published by Dover Publications in 1977, under the title Geometry, Relativity and the Fourth Dimension. In the seven years since then, I've learned a lot more about the fourth dimension. In writing The Fourth ...

Author: Rudy Rucker

Publisher: Courier Corporation

ISBN: 9780486798196

Category: Science

Page: 240

View: 111

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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.
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Shadows of Reality

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 ...

Author: Tony Robbin

Publisher: Yale University Press

ISBN: 9780300129625

Category: Art

Page: 160

View: 589

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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.
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Flatland

Jeffrey R.Weeks's The Shape of Space incorporates Flatland material, and dimensional analogies are used in Thomas Banchoff's Beyond the Third Dimension and Rudy Rucker's The Fourth Dimension and Geometry, Relativity, and the Fourth ...

Author: Edwin Abbott

Publisher: Broadview Press

ISBN: 177048129X

Category: Fiction

Page: 252

View: 831

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Flatland (1884) is an influential mathematical fantasy that simultaneously provides an introduction to non-Euclidean geometry and a satire on the Victorian class structure, issues of science and faith, and the role of women. A classic of early science fiction, the novel takes place in a world of two dimensions where all the characters are geometric shapes. The narrator, A Square, is a naïve, respectable citizen who is faced with proof of the existence of three dimensions when he is visited by a sphere and is forced to see the limitations of his world. The introduction to this Broadview Edition provides context for the book’s references to Victorian culture and religion, mathematical history, and the history of philosophy. The appendices contain contemporary reviews; extracts from the work of fellow mathematical fantasy writer/mathematician Charles Hinton; Hermann von Helmboltz’s “The Axioms of Geometry” (1870); and autobiographical passages from Abbott’s The Kernel and the Husk (1886).
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Nested Scrolls

So it became Geometry, Relativity and the Fourth Dimension. Wanting to veil how young and shaggy I was, I identified myself to the unseen editors as “Professor Rudolfv. B. Rucker.”They offered me a thousand dollars for perpetual rights ...

Author: Rudy Rucker

Publisher: Tor Books

ISBN: 9781429986205

Category: Biography & Autobiography

Page: 336

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Nested Scrolls reveals the true life adventures of Rudolf von Bitter "Rudy" Rucker—mathematician, transrealist author, punk rocker, and computer hacker. It begins with a young boy growing up in Louisville, Kentucky, the son of a businessman father who becomes a clergyman, and a mother descended from the philosopher Hegel. His career goals? To explore infinity, popularize the fourth dimension, seek the gnarl, become a beatnik writer, and father a family. All the while Rudy is reading science fiction and beat poetry, and beginning to write some pretty strange fiction of his own—a blend of Philip K. Dick and hard SF that qualifies him as part of the original circle of writers in the early 1980s that includes Bruce Sterling, William Gibson, John Shirley, and Lewis Shiner, who were the founders of cyberpunk. At one level, Rucker's genial and unfettered memoir brings us a first-hand account of how he and his contemporaries ushered in our postmodern world. At another, this is the wry and moving tale of a man making his way from one turbulent century to the next. Nested Scrolls is like its author: sweet, gentle, honest, and intellectually fierce. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
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A Checklist of Some New Science Fiction Writers

Geometry , Relativity and the Fourth Dimension . Dover . Trade paperback . A1b . Houghton Mifflin . 1984. Hardcover with dust jacket . First hardcover . Published at $ 17.95 1980 A2a . White Light , Or , What Is Cantor's Continuum ...

Author: C. P. Stephens

Publisher: Ultramarine Publishing

ISBN: 0893662712

Category:

Page: 190

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Mindhacker

Solve a four• Magic Cube 4D (www.superliminal.com/cube/cube.htm). dimensional analog of a Rubik's Cube puzzle. ... B. Rucker, Geometry, Relativity and the Fourth Dimension (New York: Dover Publications, 1977). • Rudy v.

Author: Ron Hale-Evans

Publisher: John Wiley & Sons

ISBN: 9781118166437

Category: Computers

Page: 416

View: 106

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Compelling tips and tricks to improve your mental skills Don't you wish you were just a little smarter? Ron and MartyHale-Evans can help with a vast array of witty, practicaltechniques that tune your brain to peak performance. Founded incurrent research, Mindhacker features 60 tips, tricks, andgames to develop your mental potential. This accessible compilationhelps improve memory, accelerate learning, manage time, sparkcreativity, hone math and logic skills, communicate better, thinkmore clearly, and keep your mind strong and flexible.
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Explorations in Topology

Manning, H.P. Geometry of four dimensions. New York: Macmillan, 1914. Pont, J.C. La Topologie Algébrique des Origines á Poincaré. Paris: Presses Universitaires de France, 1974. Rucker, R. Geometry, relativity, and the fourth dimension.

Author: David Gay

Publisher: Elsevier

ISBN: 0080492665

Category: Mathematics

Page: 352

View: 538

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Explorations in Topology gives students a rich experience with low-dimensional topology, enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that would help them make sense of a future, more formal topology course. The innovative story-line style of the text models the problems-solving process, presents the development of concepts in a natural way, and through its informality seduces the reader into engagement with the material. The end-of-chapter Investigations give the reader opportunities to work on a variety of open-ended, non-routine problems, and, through a modified "Moore method", to make conjectures from which theorems emerge. The students themselves emerge from these experiences owning concepts and results. The end-of-chapter Notes provide historical background to the chapter’s ideas, introduce standard terminology, and make connections with mainstream mathematics. The final chapter of projects provides opportunities for continued involvement in "research" beyond the topics of the book. * Students begin to solve substantial problems right from the start * Ideas unfold through the context of a storyline, and students become actively involved * The text models the problem-solving process, presents the development of concepts in a natural way, and helps the reader engage with the material
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