From the Video - Library ed.
pt. 1., disc 1. Great ideas that bring our world into focus
How many? Counting surprises
Ferment's last theorem and the allure of number
Pining for nature's numbers
Sizing up the Fibonacci numbers
The sexiest rectangle ; pt. 1, disc 2. The hidden beauty of the golden rectangle
The Pythagorean theorem and geometry of Ellipses
Not-so-platonic relationships in Platonic solids
Hunting for a sixth Platonic solid
Is there a fourth dimension? Can we see it?
The invisible art of the fourth dimension ; pt 2., disc 3. A twisted idea
A one-sided, sealed surface
creating beautiful patterns
Unfolding paper to reveal a fiery fractal
infinitely complex creations
Fractal frauds of nature ; pt. 2., disc 4. Chance surprises
Door number two or door number three?
weighing the uncertain future
How surprising are surprising coincidences?
Life lessons learned from mathematical thinking.