The shape of nature
(DVD Video)

Disc 1. Lecture 1. Understanding nature ; Lecture 2. The language of shapes ; Lecture 3. Knots and strings ; Lecture 4. Creating new knots from old ; Lecture 5. DNA entanglement ; Lecture 6. The Jones revolution -- disc 2. Lecture 7. Symmetries of molecules ; Lecture 8. The messy business of tangles and mutations ; Lecture 9. Braids and the language of groups ; Lecture 10. Platonic solids and Euler's masterpiece ; Lecture 11. Surfaces and a new notion of equivalence ; Lecture 12. Reaching boundaries and losing orientations -- Disc 2. Lecture 7. Symmetries of molecules ; Lecture 8. The messy business of tangles and mutations ; Lecture 9. Braids and the language of groups ; Lecture 10. Platonic solids and Euler's masterpiece ; Lecture 11. Surfaces and a new notion of equivalence ; Lecture 12. Reaching boundaries and losing orientations --

Disc 3. Lecture 13. Knots and surfaces -- 14. Wind flows and currents -- 15. Curvature and Gauss's geometric gem -- 16. Playing with scissors and polygons -- 17. Bending chains and folding origami -- 18. Cauchy's rigidity and Connelly's flexibility -- Disc 4. Lecture19. Mountain terrains and surface reconstruction -- 20. Voronoi's regions of influence -- 21. Convex hulls and computational conplexity -- 22. Patterns and colors -- 23. Orange stackings and bubble partitions -- 24. The topology of the universe --

Disc 5. Lecture 25. Tetrahedra and mathematical surgery

26. The fundamental group

27. Poincare's question and Perelman's answer

28. The geometry of the universe

29. Visualizing in higher dimensions

30. Polyhedra in higher dimensions

Disc 6. Lecture 31. Particle motions

32. Particle collisions

33. Evolutionary trees

34. Chaos and fractals

35. Reclaiming Leonardo da Vinci

36. Pushing the forefront.