KNOTS

Mathematicians - Jennifer Chayes, Mathematical Research Institute at Microsoft; Joan Birman, Columbia University; Vaughn Jones, University of California Berkeley; William Thurston, University of California Davis.

From the beauty and strength of woven knots to the dance of life - knots are everywhere, not just for our pleasure but as part of the intrinsic structure of nature, in the twisting of DNA strands and the braided forms of stringy matter.

Mathematicians tease out the different patterns of knots, and discover that these determine the possible shapes of three dimensional space.


 


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1. Molecules to the Mind
2. Foam and Glass
3. Mentoring
4. Mathematics
5. Clockface
6. Higher Dimensions
7. Biology of Sleeping
8. Aurora Borealis
9. Thoughts and Models
10. Spinning and Balance
11. Visualizing Mathematics
12. I Am a Mathematician
13. Discovery
14. Wavelets
15. Symmetries
16. Seeing Infrared
17. Seeing the Light
18. What is Scientific Truth
19. I Am a Computer Scientist
20. Women in a Lab
21. Collaboration in Science
22. Families in Science
23. Swimming through Space
24. Hard Glittering Snow
25. The Golden Mean
26. Opals and Butterfly Wings
27. Surfing Flies
28. Understanding
29. Knots
30. Asking the Right Questions
31. Tiling the Plane
32. Language and Love
33. Patterns in Life
34. Chaos and Weather
35. Diving into History
36. Levitation

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