Hot Best Seller

Beyond The Third Dimension: Geometry, Computer Graphics, And Higher Dimensions

Availability: Ready to download

This work investigates ways of picturing and understanding dimensions below and above our own. What would a two-dimensional universe be like? How can we even attempt to picture objects of four, five or six dimensions? Such are the questions examined in this text.


Compare

This work investigates ways of picturing and understanding dimensions below and above our own. What would a two-dimensional universe be like? How can we even attempt to picture objects of four, five or six dimensions? Such are the questions examined in this text.

30 review for Beyond The Third Dimension: Geometry, Computer Graphics, And Higher Dimensions

  1. 4 out of 5

    Madeleine Morales

    great graphics, useful diagrams, and a wonderful explanation of the hypercube

  2. 4 out of 5

    Rama Rao

    Geometrical Illustrations of Fourth Dimension Living in a world of three dimensional space makes it hard for us to conceive fourth dimension and it gets even harder to visualize the fifth and higher dimension. Superstring theorists predict the existence of 10th and 26th dimensions in universe; hence it seems reasonable for many of us to understand how it would be like to be living in fourth dimension. Thomas Banchoff is one of the leaders in the study of higher dimension using computer graphics; Geometrical Illustrations of Fourth Dimension Living in a world of three dimensional space makes it hard for us to conceive fourth dimension and it gets even harder to visualize the fifth and higher dimension. Superstring theorists predict the existence of 10th and 26th dimensions in universe; hence it seems reasonable for many of us to understand how it would be like to be living in fourth dimension. Thomas Banchoff is one of the leaders in the study of higher dimension using computer graphics; he has illustrated fourth dimension using basic geometrical approach such as slicing the spatial dimension, observing the shadows of structures, comparing the folded and foldout versions of polytops and description of configuration of spaces. This book is useful for someone who appreciates geometry, but for a reader who likes to visualize the fourth dimension he/she may read Clifford Pickover's Surfing through Hyperspace, which does a better job in illustrating fourth dimension.

  3. 4 out of 5

    Paul Bialek

    This is an excellent introduction to the 4th dimension (and the 5th). It's a little difficult to follow in places, but in general readable and interesting. I will definitely use this as a resource when I teach college-level geometry courses. This is an excellent introduction to the 4th dimension (and the 5th). It's a little difficult to follow in places, but in general readable and interesting. I will definitely use this as a resource when I teach college-level geometry courses.

  4. 5 out of 5

    Kazuo

    A nice and very accessible introduction to higher dimensions. There are plenty of computer-generated graphics to feed the intuition, and I particularly liked a section on representing sets of data in more than three dimensions.

  5. 4 out of 5

    Kenneth

    A fascinating layman's review of geometry in higher dimensions A fascinating layman's review of geometry in higher dimensions

  6. 5 out of 5

    Donizetti Louro

  7. 4 out of 5

    b1n0ry

  8. 4 out of 5

    Luca Pedocchi

  9. 4 out of 5

    Dave

  10. 5 out of 5

    Paul Vittay

  11. 4 out of 5

    Kara

  12. 5 out of 5

    Quinn

  13. 5 out of 5

    Izak Botha

  14. 4 out of 5

    Steve

  15. 5 out of 5

    Brian

  16. 5 out of 5

    Robert Kuska

  17. 5 out of 5

    Kitap

  18. 4 out of 5

    G√ľnther Leenaert

  19. 5 out of 5

    Andrea De Domenico

  20. 4 out of 5

    Carlos Ponce

  21. 4 out of 5

    M.E. Hogan

  22. 4 out of 5

    Ahmed Ibraheem

  23. 4 out of 5

    Brandon Cavaiani

  24. 4 out of 5

    John Ervin

  25. 5 out of 5

    Jim Wrenholt

  26. 5 out of 5

    Jim Wrenholt

  27. 5 out of 5

    Fryderyk K

  28. 5 out of 5

    Aura Eadon

  29. 5 out of 5

    Rich

  30. 5 out of 5

    Waffles

Add a review

Your email address will not be published. Required fields are marked *

Loading...
We use cookies to give you the best online experience. By using our website you agree to our use of cookies in accordance with our cookie policy.