Disc 1: Part 1. Lecture 1. Great ideas that bring our world into focus ; Lecture 2. How many? Counting surprises ; Lecture 3. Fermat's last theorem and the allure of number ; Lecture 4. Pining for nature's numbers ; Lecture 5. Sizing up the Fibonacci numbers ; Lecture 6. The sexiest rectangle.
Disc 2: Part 1. Lecture 7. Hidden beauty of the golden rectangle ; Lecture 8. Pythagorean theorem and geography of ellipses ; Lecture 9. Not-so-Platonic relationships in Platonic solids ; Lecture 10. Hunting for a sixth Platonic solid ; Lecture 11. Is there a fourth dimension? Can we see it? ; Lecture 12. The invisible art of the fourth dimension.
Disc 3: Part 2. Lecture 13. A twisted idea: The Möbius band ; Lecture 14. A one-sided, sealed surface: The Klein bottle ; Lecture 15. Ordinary origami: Creating beautiful patterns ; Lecture 16. Unfolding paper to reveal a fiery fractal ; Lecture 17. Fractals: Infinitely complex creations ; Lecture 18. Fractal frauds of nature.
Disc 4: Part 2. Lecture 19. Chance surprises: Measuring uncertainty ; Lecture 20. Door number two or door number three? ; Lecture 21. Great expectations: Weighing the uncertain future ; Lecture 22. Random thoughts: Randomness in our world ; Lecture 23. How surprising are surprising coincidences? ; Lecture 24. Life lessons learned from mathematical thinking.
