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Four Dimensional Geometry
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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.
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:
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!
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.
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.
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:
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.
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.
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.
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 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Fourth Dimension by : Charles Howard Hinton
Download or read book The Fourth Dimension written by Charles Howard Hinton and published by . This book was released on 1906 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Regular Polytopes by : H. S. M. Coxeter
Download or read book Regular Polytopes written by H. S. M. Coxeter and published by Courier Corporation. This book was released on 2012-05-23 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foremost book available on polytopes, incorporating ancient Greek and most modern work. Discusses polygons, polyhedrons, and multi-dimensional polytopes. Definitions of symbols. Includes 8 tables plus many diagrams and examples. 1963 edition.
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.
Book Synopsis Visualizing Mathematics with 3D Printing by : Henry Segerman
Download or read book Visualizing Mathematics with 3D Printing written by Henry Segerman and published by JHU Press. This book was released on 2016-10-04 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to explain mathematics using 3D printed models. Winner of the Technical Text of the Washington Publishers Wouldn’t it be great to experience three-dimensional ideas in three dimensions? In this book—the first of its kind—mathematician and mathematical artist Henry Segerman takes readers on a fascinating tour of two-, three-, and four-dimensional mathematics, exploring Euclidean and non-Euclidean geometries, symmetry, knots, tilings, and soap films. Visualizing Mathematics with 3D Printing includes more than 100 color photographs of 3D printed models. Readers can take the book’s insights to a new level by visiting its sister website, 3dprintmath.com, which features virtual three-dimensional versions of the models for readers to explore. These models can also be ordered online or downloaded to print on a 3D printer. Combining the strengths of book and website, this volume pulls higher geometry and topology out of the realm of the abstract and puts it into the hands of anyone fascinated by mathematical relationships of shape. With the book in one hand and a 3D printed model in the other, readers can find deeper meaning while holding a hyperbolic honeycomb, touching the twists of a torus knot, or caressing the curves of a Klein quartic.
Book Synopsis The Fourth Dimension and the Bible by : William Anthony Granville
Download or read book The Fourth Dimension and the Bible written by William Anthony Granville and published by . This book was released on 1922 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Wrinkle in Time by : Madeleine L'Engle
Download or read book A Wrinkle in Time written by Madeleine L'Engle and published by Farrar, Straus and Giroux (BYR). This book was released on 2010-04-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: NEWBERY MEDAL WINNER • TIME MAGAZINE’S 100 BEST FANTASY BOOKS OF ALL TIME • NOW A MAJOR MOTION PICTURE FROM DISNEY Read the ground-breaking science fiction and fantasy classic that has delighted children for over 60 years! "A Wrinkle in Time is one of my favorite books of all time. I've read it so often, I know it by heart." —Meg Cabot Late one night, three otherworldly creatures appear and sweep Meg Murry, her brother Charles Wallace, and their friend Calvin O'Keefe away on a mission to save Mr. Murray, who has gone missing while doing top-secret work for the government. They travel via tesseract--a wrinkle that transports one across space and time--to the planet Camazotz, where Mr. Murray is being held captive. There they discover a dark force that threatens not only Mr. Murray but the safety of the whole universe. A Wrinkle in Time is the first book in Madeleine L’Engle’s Time Quintet.
Book Synopsis The Geometry of Four-manifolds by : S. K. Donaldson
Download or read book The Geometry of Four-manifolds written by S. K. Donaldson and published by Oxford University Press. This book was released on 1997 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides an accessible account to the modern study of the geometry of four-manifolds. Prerequisites are a firm grounding in differential topology and geometry, as may be gained from the first year of a graduate course.
