The shape of nature

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 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.