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The Visual Guide To Extra Dimensions, Volume 1

ISBN: 1438298927

标签: 数据库



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The Visual Guide To Extra Dimensions Volume 1

The Visual Guide To Extra Dimensions, Volume 1: Visualizing The Fourth Dimension, Higher-Dimensional Polytopes, And Curved Hypersurfaces by Chris McMullen
English | 2008 | ISBN: 1438298927 | 166 Pages | EPUB | 42.6 MB
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.



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.
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