Unicorns: Pi Pie
This movie does a nice job in presenting natural wonders that arise seemingly with definitive geometric proportions (i.e., the perfect spherical shape of planets).
We think of objects in the universe having complex and unpredictable structure and shape, but we ironically find precise and regular shapes repeating predictably (i.e., spiral-shaped whirlpools in the water, the double-helix structure of DNA, the perfect circular overlay of lunar/solar eclipses, the symmetrical proportions of the left-right sides of the human body, etc.).
Euclid suggested in his grand theories of geometry that strange ratios and measurements can be derived with values such as pi, the golden ratio, and angular relationships of idealized shapes such as right triangles.
"Pi" (1998) invites us to probe the mind of a gifted but schizophrenic mathematician named Max whose dealings with mystics, his mentor, and various people in his life are connected to his revelations of structure and change and how these revelations are both ironically troubling him and inspiring him.
Change is a very interesting concept, and "Pi" (1998) is filled with symbols about change or dynamics (and uncertainty and imagination).
A unicorn is a cryptic mythological creature said to resemble a horse with a conical horn protruding from its forehead. While there is no scientific proof a unicorn actually exists in nature, its horn has come to symbolize focus, determination, and free will, since of course, it extends from the center of the head which houses the brain/mind.
What if we come up with a Unicorn Triangulation Theory of mathematics --- one that explores the dynamic relationship between structure and pinpointing? Such a theory would not only augment fun discussions in matrix mathematics, a peculiar field itself, but it would also illuminate why a movie such as "Pi" (1998) serves as evidence of a natural human curiosity about geometry glee.
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Euclid:
http://en.wikipedia.org/wiki/Euclid
Matrix Math:
http://en.wikipedia.org/wiki/Matrix_(mathematics)
Unicorns:
http://en.wikipedia.org/wiki/Unicorn
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