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The Visual Guide to Extra Dimensions: Visualizing the Fourth Dimension, Higher-Dimensional Polytopes, and Curved Hypersurfaces #2020

The Visual Guide to Extra Dimensions Visualizing the Fourth Dimension Higher Dimensional Polytopes and Curved Hypersurfaces AUTHOR Chris McMullen earned his Ph D in particle physics from Oklahoma State University Dr McMullen currently teaches physics at Northwestern State University of Louisiana His background on the geome

  • Title: The Visual Guide to Extra Dimensions: Visualizing the Fourth Dimension, Higher-Dimensional Polytopes, and Curved Hypersurfaces
  • Author: Chris McMullen
  • ISBN: 9781438298924
  • Page: 499
  • Format: Paperback
  • The Visual Guide to Extra Dimensions: Visualizing the Fourth Dimension, Higher-Dimensional Polytopes, and Curved Hypersurfaces By Chris McMullen, AUTHOR Chris McMullen earned his Ph.D in particle physics from Oklahoma State University Dr McMullen currently teaches physics at Northwestern State University of Louisiana His background on the geometry and physics of a possible fourth dimension of space includes a half dozen research papers on the prospects of discovering large extra dimensions at the Large Hadron CAUTHOR Chris McMullen earned his Ph.D in particle physics from Oklahoma State University Dr McMullen currently teaches physics at Northwestern State University of Louisiana His background on the geometry and physics of a possible fourth dimension of space includes a half dozen research papers on the prospects of discovering large extra dimensions at the Large Hadron ColliderSCRIPTION This book takes you on a visual tour of a fourth dimension of space It is much 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 bookDIENCE 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.

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      499 Chris McMullen
    • thumbnail Title: UNLIMITED BOOK ☆ The Visual Guide to Extra Dimensions: Visualizing the Fourth Dimension, Higher-Dimensional Polytopes, and Curved Hypersurfaces - by Chris McMullen
      Posted by:Chris McMullen
      Published :2019-05-10T16:45:54+00:00

    1 thought on “The Visual Guide to Extra Dimensions: Visualizing the Fourth Dimension, Higher-Dimensional Polytopes, and Curved Hypersurfaces

    1. I really like the topic and really appreciate the fact that the author is not afraid to tackle the difficulties that arise in representing 4D objects However, I think some adjustments could make the figures a bit easier to grasp.For example, something that would clear things up a bit is drawing the edges that a 4D being could see in solid lines while I do realize those are a lot , instead of randomly assigning solid lines for the part of the figure which is in front of a plane and dashed lines f [...]

    2. This book teaches the reader how to comprehend the 4th dimension with dimensions like 5 dimensions with mathematics, and visual representations.

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