The Visual Guide To Extra Dimensions: Visualizing The Fourth Dimension, Higher-Dimensional Polytopes, And Curved Hypersurfaces (A Fourth Dimension of Space) (Volume 1)
Language: English
Published by CreateSpace Independent Publishing Platform, 2008
- Softcover
- Used
Seller: Redux Books, Grand Rapids, MI, U.S.A.Redux Books
AbeBooks seller since February 1, 2006
Condition: Used - As new
£ 8.65
Quantity: 1 available
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- Title
- The Visual Guide To Extra Dimensions: Visualizing The Fourth Dimension, Higher-Dimensional Polytopes, And Curved Hypersurfaces (A Fourth Dimension of Space) (Volume 1)
- Author
- McMullen, Chris
- Publisher
- CreateSpace Independent Publishing Platform
- Publication year
- 2008
- Condition
- As New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1438298927
- ISBN 13
- 9781438298924
- Item weight
- 9 ounces
- Dimensions
- 5x0x8
- Series
- Book 1 of 4: A Fourth Dimension of Space
DESCRIPTION: This book takes you on a visual tour of a fourth dimension of space. It 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. Here is a sample of what you will find:
- A fascinating tour of the second and lower dimensions, which will help to understand the fourth dimension by analogy.
- A chapter dedicated toward imagining what it might be like to live in a hypothetical 4D hyperuniverse. This includes details like 4D wheels with axles, a 4D staircase, and a 4D room.
- Pictures of flat 4D objects called polytopes, like the tesseract, pentachoron, and icositetrachoron. A unique graph of a hecatonicosachoron has 12 of its 120 bounding dodecahedra highlighted to help visualize its complicated structure.
- In-depth discussion of the hypercube, including numerical patterns, rotations, cross sections, and perspective. Watch a tesseract unfold.
- Visual intersections of 15 pairs of perpendicular planes and 6 pairs of orthogonal hyperplanes in 4D space.
- Unique graphs of curved hypersurfaces in 4D space, like the glome, spherinder, cubinder, and hyperparaboloid.
PUZZLES: Several puzzles are included to challenge the reader to contemplate the fourth dimension. Answers are included at the back of the book.
AUDIENCE: This book is highly visual and very conceptual such that anyone with an appreciation for geometry may understand it, while at the same time including ample detail to also satisfy readers with a strong background in mathematics.
"Synopsis" may belong to another edition of this title.
About the Author
"About the title" may belong to another edition of this title.
Redux Books
Grand Rapids, MI, U.S.A.
AbeBooks seller since February 1, 2006
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