Four Dimensional Geometry An Introduction

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A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry)

Author : Chris McMullen
Publisher :
ISBN 13 : 9780615750040
Total Pages : 92 pages
Book Rating : 4.7/5 (5 download)

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Book Synopsis A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry) by : Chris McMullen

Download or read book A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry) written by Chris McMullen and published by . This book was released on 2013-01-19 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: This colorful, visual introduction to the fourth dimension provides a clear explanation of the concepts and numerous illustrations. It is written with a touch of personality that makes this an engaging read instead of a dry math text. The content is very accessible, yet at the same time detailed enough to satisfy the interests of advanced readers. This book is devoted to geometry; there are no spiritual or religious components to this book. May you enjoy your journey into the fascinating world of the fourth dimension! Contents: Introduction Chapter 0: What Is a Dimension? Chapter 1: Dimensions Zero and One Chapter 2: The Second Dimension Chapter 3: Three-Dimensional Space Chapter 4: A Fourth Dimension of Space Chapter 5: Tesseracts and Hypercubes Chapter 6: Hypercube Patterns Chapter 7: Planes and Hyperplanes Chapter 8: Tesseracts in Perspective Chapter 9: Rotations in 4D Space Chapter 10: Unfolding a Tesseract Chapter 11: Cross Sections of a Tesseract Chapter 12: Living in a 4D House Further Reading Glossary About the Author Put on your spacesuit, strap on your safety harness, swallow your anti-nausea medicine, and enjoy this journey into a fourth dimension of space! 10D, 9D, 8D, 7D, 6D, 5D, 4D, 3D, 2D, 1D, 0D. Blast off!

Four-dimensional geometry : an introduction

Author : Adrien L. Hess
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (612 download)

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Book Synopsis Four-dimensional geometry : an introduction by : Adrien L. Hess

Download or read book Four-dimensional geometry : an introduction written by Adrien L. Hess and published by . This book was released on 1980 with total page 28 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.

Four-dimensional geometry

Author : Adrien L. Hess
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Four-dimensional geometry by : Adrien L. Hess

Download or read book Four-dimensional geometry written by Adrien L. Hess and published by . This book was released on 1977 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry of Four Dimensions

Author : Henry Parker Manning
Publisher :
ISBN 13 :
Total Pages : 375 pages
Book Rating : 4.L/5 ( download)

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Book Synopsis Geometry of Four Dimensions by : Henry Parker Manning

Download or read book Geometry of Four Dimensions written by Henry Parker Manning and published by . This book was released on 1914 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry, Relativity and the Fourth Dimension

Author : Rudolf Rucker
Publisher : Courier Corporation
ISBN 13 : 0486140334
Total Pages : 159 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Geometry, Relativity and the Fourth Dimension by : Rudolf Rucker

Download or read book Geometry, Relativity and the Fourth Dimension written by Rudolf Rucker and published by Courier Corporation. This book was released on 2012-06-08 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.

The Fourth Dimension Simply Explained

Author : Henry Parker Manning
Publisher :
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Fourth Dimension Simply Explained by : Henry Parker Manning

Download or read book The Fourth Dimension Simply Explained written by Henry Parker Manning and published by . This book was released on 1910 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to the Geometry of N Dimensions

Author : D. M.Y. Sommerville
Publisher : Courier Dover Publications
ISBN 13 : 0486842487
Total Pages : 224 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Introduction to the Geometry of N Dimensions by : D. M.Y. Sommerville

Download or read book Introduction to the Geometry of N Dimensions written by D. M.Y. Sommerville and published by Courier Dover Publications. This book was released on 2020-03-18 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic exploration of topics of perennial interest to geometers: fundamental ideas of incidence, parallelism, perpendicularity, angles between linear spaces, polytopes. Examines analytical geometry from projective and analytic points of view. 1929 edition.

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 Fourth Dimension

Author : C. Howard Hinton
Publisher : Literary Licensing, LLC
ISBN 13 : 9781494126254
Total Pages : 282 pages
Book Rating : 4.1/5 (262 download)

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Book Synopsis The Fourth Dimension by : C. Howard Hinton

Download or read book The Fourth Dimension written by C. Howard Hinton and published by Literary Licensing, LLC. This book was released on 2014-03 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Is A New Release Of The Original 1904 Edition.

Things to Make and Do in the Fourth Dimension

Author : Matt Parker
Publisher : Farrar, Straus and Giroux
ISBN 13 : 0374710376
Total Pages : 465 pages
Book Rating : 4.3/5 (747 download)

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Book Synopsis Things to Make and Do in the Fourth Dimension by : Matt Parker

Download or read book Things to Make and Do in the Fourth Dimension written by Matt Parker and published by Farrar, Straus and Giroux. This book was released on 2014-12-02 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: A book from the stand-up mathematician that makes math fun again! Math is boring, says the mathematician and comedian Matt Parker. Part of the problem may be the way the subject is taught, but it's also true that we all, to a greater or lesser extent, find math difficult and counterintuitive. This counterintuitiveness is actually part of the point, argues Parker: the extraordinary thing about math is that it allows us to access logic and ideas beyond what our brains can instinctively do—through its logical tools we are able to reach beyond our innate abilities and grasp more and more abstract concepts. In the absorbing and exhilarating Things to Make and Do in the Fourth Dimension, Parker sets out to convince his readers to revisit the very math that put them off the subject as fourteen-year-olds. Starting with the foundations of math familiar from school (numbers, geometry, and algebra), he reveals how it is possible to climb all the way up to the topology and to four-dimensional shapes, and from there to infinity—and slightly beyond. Both playful and sophisticated, Things to Make and Do in the Fourth Dimension is filled with captivating games and puzzles, a buffet of optional hands-on activities that entices us to take pleasure in math that is normally only available to those studying at a university level. Things to Make and Do in the Fourth Dimension invites us to re-learn much of what we missed in school and, this time, to be utterly enthralled by it.

Higher Geometry

Author : Frederick Shenstone Woods
Publisher :
ISBN 13 :
Total Pages : 446 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Higher Geometry by : Frederick Shenstone Woods

Download or read book Higher Geometry written by Frederick Shenstone Woods and published by . This book was released on 1922 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry of Four Dimensions

Author : Henry Parker Manning
Publisher :
ISBN 13 :
Total Pages : 390 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Geometry of Four Dimensions by : Henry Parker Manning

Download or read book Geometry of Four Dimensions written by Henry Parker Manning and published by . This book was released on 1914 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Wild World of 4-Manifolds

Author : Alexandru Scorpan
Publisher : American Mathematical Society
ISBN 13 : 1470468611
Total Pages : 614 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Wild World of 4-Manifolds by : Alexandru Scorpan

Download or read book The Wild World of 4-Manifolds written by Alexandru Scorpan and published by American Mathematical Society. This book was released on 2022-01-26 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: What a wonderful book! I strongly recommend this book to anyone, especially graduate students, interested in getting a sense of 4-manifolds. —MAA Reviews The book gives an excellent overview of 4-manifolds, with many figures and historical notes. Graduate students, nonexperts, and experts alike will enjoy browsing through it. — Robion C. Kirby, University of California, Berkeley This book offers a panorama of the topology of simply connected smooth manifolds of dimension four. Dimension four is unlike any other dimension; it is large enough to have room for wild things to happen, but small enough so that there is no room to undo the wildness. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today. To put things in context, the book starts with a survey of higher dimensions and of topological 4-manifolds. In the second part, the main invariant of a 4-manifold—the intersection form—and its interaction with the topology of the manifold are investigated. In the third part, as an important source of examples, complex surfaces are reviewed. In the final fourth part of the book, gauge theory is presented; this differential-geometric method has brought to light how unwieldy smooth 4-manifolds truly are, and while bringing new insights, has raised more questions than answers. The structure of the book is modular, organized into a main track of about two hundred pages, augmented by extensive notes at the end of each chapter, where many extra details, proofs and developments are presented. To help the reader, the text is peppered with over 250 illustrations and has an extensive index.

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 Theory of Gauge Fields in Four Dimensions

Author : H. Blaine Lawson
Publisher : American Mathematical Soc.
ISBN 13 : 0821807080
Total Pages : 112 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Theory of Gauge Fields in Four Dimensions by : H. Blaine Lawson

Download or read book The Theory of Gauge Fields in Four Dimensions written by H. Blaine Lawson and published by American Mathematical Soc.. This book was released on 1985 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an examination of the work of Simon Donaldson. This book offers foundation work in gauge theory (Uhlenbeck, Taubes, Atiyah, Hitchin, Singer, et al.) which underlies Donaldson's work. It is suitable for geometric topologists and differential geometers.