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

1. 

   5 out of 5

   Madeleine Morales – Jan 06, 2019

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

2. 

   4 out of 5

   Rama Rao – Feb 19, 2014

   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 – Oct 27, 2013

   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. 

   4 out of 5

   Kazuo – Sep 22, 2008

   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 – Jan 24, 2008

   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. 

   5 out of 5

   b1n0ry –

8. 

   5 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. 

    4 out of 5

    Izak Botha –

14. 

    4 out of 5

    Steve –

15. 

    5 out of 5

    Brian –

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    5 out of 5

    Robert Kuska –

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    5 out of 5

    Kitap –

18. 

    4 out of 5

    Günther Leenaert –

19. 

    4 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. 

    5 out of 5

    Brandon Cavaiani –

24. 

    4 out of 5

    John Ervin –

25. 

    4 out of 5

    Jim Wrenholt –

26. 

    5 out of 5

    Jim Wrenholt –

27. 

    4 out of 5

    Fryderyk K –

28. 

    4 out of 5

    Aura Eadon –

29. 

    5 out of 5

    Rich –

30. 

    5 out of 5

    Waffles –