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The Fourth Dimension: Toward a Geometry of Higher Reality (Dover Books on Science) Paperback – Illustrated, September 17, 2014
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"This is an invigorating book, a short but spirited slalom for the mind." — Timothy Ferris, The New York Times Book Review
"Highly readable. One is reminded of the breadth and depth of Hofstadter's Gödel, Escher, Bach." — Science
"Anyone with even a minimal interest in mathematics and fantasy will find The Fourth Dimension informative and mind-dazzling... [Rucker] plunges into spaces above three with a zest and energy that is breathtaking." — Martin Gardner
"Those who think the fourth dimension is nothing but time should be encouraged to readThe Fourth Dimension, along with anyone else who feels like opening the hinges of his mind and letting in a bit of fresh air." — John Sladek, Washington Post Book World
"A mine of mathematical insights and a thoroughly satisfying read." — Paul Davies, Nature Magazine
- Print length240 pages
- LanguageEnglish
- PublisherDover Publications
- Publication dateSeptember 17, 2014
- Dimensions6 x 0.5 x 8.75 inches
- ISBN-100486779785
- ISBN-13978-0486779782
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From the Back Cover
This is the definitive popular exploration of what the fourth dimension means, both physically and spiritually. Mathematician and science-fiction novelist Rudy Rucker takes readers on a guided tour of a higher reality that explores what the fourth dimension is and what it has meant to generations of thinkers. The exciting and challenging journey is enhanced by more than 200 illustrations and a host of puzzles and problems (with answers).
"This is an invigorating book, a short but spirited slalom for the mind."—Timothy Ferris, The New York Times Book Review
"Highly readable. One is reminded of the breadth and depth of Hofstadter's Gödel, Escher, Bach."—Science
"Anyone with even a minimal interest in mathematics and fantasy will find The Fourth Dimension informative and mind-dazzling... [Rucker] plunges into spaces above three with a zest and energy that is breathtaking."—Martin Gardner
"Those who think the fourth dimension is nothing but time should be encouraged to readThe Fourth Dimension, along with anyone else who feels like opening the hinges of his mind and letting in a bit of fresh air."—John Sladek, Washington Post Book World
"A mine of mathematical insights and a thoroughly satisfying read."—Paul Davies, Nature Magazine
Dover (2014) republication of the edition originally published by the Houghton Mifflin Company, Boston, 1984.
See every Dover book in print at
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Product details
- Publisher : Dover Publications; Reprint edition (September 17, 2014)
- Language : English
- Paperback : 240 pages
- ISBN-10 : 0486779785
- ISBN-13 : 978-0486779782
- Item Weight : 10.4 ounces
- Dimensions : 6 x 0.5 x 8.75 inches
- Best Sellers Rank: #763,585 in Books (See Top 100 in Books)
- #161 in Scientific Experiments & Projects
- #295 in Relativity Physics (Books)
- #2,488 in Applied Mathematics (Books)
- Customer Reviews:
About the author

Rudy Rucker has written forty books, both pop science. and SF novels in the cyberpunk and transreal styles. He received Philip K. Dick awards for for the novels in his "Ware Tetralogy". His "Complete Stories," and his nonfiction "The Fourth Dimension" are standouts. He worked as a professor of computer science in Silicon Valley for twenty years. He paints works relating to his tales. His latest novel "Juicy Ghosts" is about telepathy, immortality, and a new revolution. Rudy blogs at www.rudyrucker.com/blog
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Now readers won't walk away being able to picture four dimensional beings or structures, but one will be able to grasp a fairly general understanding of what it would be like for a four dimensional being or object to exist and interact with our dimension. Naturally Rucker does this by explaining the relations between the dimensions by changing our perspective and having us think two dimensionally. For this he relies heavily on a book written by Edwin Abbott called "Flatland". I highly recommend you read "Flatland" before you attempt to tackle Rucker's book, as he constantly quotes "Flatland", almost to his books detriment. He also quotes other texts like "Spaceland" (which Rucker also wrote) or "Flatterland" here and there, but the one he relies upon most is "Flatland". "Flatland" is a natural and easy introduction to learning how to think from the perspective of a different dimension and helps the reader to fully grasp Rucker's analogy as he projects the relationship from the second and third dimensions to a relationship between the third and the fourth dimension. Naturally he points out that some of these points are mere conjecture as we cannot observe fourth dimensional objects in our reality... yet. "The 4th Dimension" is also illustrated with all kinds of silly cartoons to give the book a much lighter feel to its fairly heavy topic. The illustrations will certainly help anyone who really needs to see a drawing of some of the concepts Rucker talks about.
I was originally introduced to some of these concepts via Michio Kaku's book "Hyperspace". While he did a pretty good job explaining four spatial dimensions, I think this book really delves into it a lot deeper. The reader walks away with a much fuller understanding of the concepts concerning this different dimension. Not only will you learn about this, Rucker also goes through a very interesting history concerning humanity's fascination with things beyond our own dimension. He delves into metaphysics and explanations for ghosts as well as recounting the mathematical history (which is the real mainstay of this book). The spiritual aspects of this book are more anecdotal to help give the reader some historical or philosophical perspective in lieu of the mathematics.
If you're really curious about the possibility of other spatial dimensions then this book is a great read. The physics and universe research may be a little outdated by this point since the book originally came out in the 1980's, but it's application in helping a person think of how the fourth dimensional being would react is still applicable. While I'm pretty sure it's agreed that there are more than three spatial dimensions in existence, this book still treats that aspect as if there's still a major debate going on about it. After finding absolute proof of Black Holes in the universe, I think the multi-dimensional universe (or multiverse) concept is pretty realistic, since if the Black Hole singularity transcends our space and time... it has to go somewhere! Anyway, don't forget to read "Flatland" before you pick this up and I think people will find this a fun and informative read.
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