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

A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry)
Author: Chris McMullen
Publisher:
Total Pages: 92
Release: 2013-01-19
Genre:
ISBN: 9780615750040

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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!


The Fourth Dimension

The Fourth Dimension
Author: Rudy von Bitter Rucker
Publisher: Houghton Mifflin Harcourt
Total Pages: 244
Release: 1985
Genre: Philosophy
ISBN: 9780395393888

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A detailed description of what the fourth dimension would be like.


Full Color Illustrations of the Fourth Dimension

Full Color Illustrations of the Fourth Dimension
Author: Chris McMullen Ph. D.
Publisher: CreateSpace
Total Pages: 42
Release: 2009-10
Genre: Mathematics
ISBN: 9781449529345

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Visualize hypercheckers and hyperchess in the 4th dimension, rotate a Rubik's hypercube, stack tesseracts together to build a hyperpyramid or a hypercross, view a hypertable with hyperchairs, climb hyperstairs, open the hyperdoor to a hyperhouse, watch hypertelevision, read a hyperbook, arrange glomes in a 4D lattice structure to create hypercrystals, stack hyperfruits at a hypersupermarket, record the position of a hyperstar with hypercelestial coordinates, make a hypermap using hypercompass directions, watch a spinning hyperplanet with tilt revolve around a hypersun, see a sample alphanumeric system for writing and arithmetic in 4D space, line up a shot on a hyperbilliards table, enjoy hyperbowling or hypertennis, and contemplate an object's reflection from a hyperplanar or hyperspherical mirror - all on this colorful journey through the fourth dimension. Each page consists of colorful images of four-dimensional objects with a paragraph caption describing the figures at the bottom.


The Visual Guide to Extra Dimensions

The Visual Guide to Extra Dimensions
Author: Chris McMullen
Publisher: CreateSpace
Total Pages: 166
Release: 2008-08-17
Genre: Mathematics
ISBN: 9781438298924

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Watch a tesseract unfold. See how the 3D cross section of a hypercube changes as the hypercube rotates. View 4D wheels with axles with a spherinder or cubinder structure. Imagine climbing a 4D staircase. Find 10 out of 120 dodecahedra of a hecatonicosachoron highlighted... all on this visual tour of the fourth dimension.The book is much more visual and conceptual than algebraic, yet it is detailed and technical, with the intention of satisfying the needs of mathematically-minded readers familiar with the fundamentals of algebra, geometry, and graphing.


Geometry, Relativity and the Fourth Dimension

Geometry, Relativity and the Fourth Dimension
Author: Rudolf Rucker
Publisher: Courier Corporation
Total Pages: 159
Release: 2012-06-08
Genre: Science
ISBN: 0486140334

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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.


The Fourth Dimension: Toward a Geometry of Higher Reality

The Fourth Dimension: Toward a Geometry of Higher Reality
Author: Rudy Rucker
Publisher: Courier Corporation
Total Pages: 240
Release: 2014-08-18
Genre: Science
ISBN: 0486798194

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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.


Multiple View Geometry in Computer Vision

Multiple View Geometry in Computer Vision
Author: Richard Hartley
Publisher: Cambridge University Press
Total Pages: 676
Release: 2004-03-25
Genre: Computers
ISBN: 1139449141

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A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction covering the key ideas in the book (which itself has been updated with additional examples and appendices) and significant new results which have appeared since the first edition. Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the book.


The Planiverse

The Planiverse
Author: A.K. Dewdney
Publisher: Springer Science & Business Media
Total Pages: 273
Release: 2012-12-06
Genre: Science
ISBN: 1461301998

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A classic book about life in a two-dimensional universe, written by a well-known author. Now brought back into print in this revised and updated edition, the book is written within the great tradition of Abbott's Flatland, and Hinton's famous Sphereland. Accessible, imaginative, and clever, it will appeal to a wide array of readers, from serious mathematicians and computer scientists, to science fiction fans.


An Introduction to Basic Astronomy Concepts (Black and White Edition)

An Introduction to Basic Astronomy Concepts (Black and White Edition)
Author: Chris McMullen
Publisher: Createspace Independent Publishing Platform
Total Pages: 0
Release: 2012-06-30
Genre:
ISBN: 9781478169727

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Also available in full-color in paperback (ISBN 978-1478169383) and as an e-book. Note that this paperback edition is black and white. This book provides a highly visual introduction to a variety of basic astronomy concepts: Overview of the Solar System Understanding the Lunar Phases Understanding Solar and Lunar Eclipses Understanding the Seasons Evidence that the Earth is Round Models of Our Solar System Laws of Motion in Astronomy Beyond Our Solar System This edition is black and white. This book features numerous NASA space photos. (NASA did not participate in the writing or publication of this eBook.) Many diagrams, like the heliocentric and geocentric models or explaining the phases of the moon, were constructed by combining together NASA space photos instead of simply drawing circles. The content is suitable for a general interest audience, as well asthose who may be learning astronomy and are looking for somesupplemental instruction that is highly visual and focused on a varietyof fundamental concepts. Teachers who purchase one copy of this book or borrow one copy of this book from a library may reproduce selected pages for the purpose of teaching astronomy concepts to their own students. This book is also available in a full-color edition.