A picture of a homemade model of the Gale
transform of the hexagon. The hexagon is in the background
with its transform in the foreground. It's also colour
coded.
If the Gale transform doesn't excite you, there are many other
opportunities to put a rigorous
training in mathematics to good use. Also, spending time in a
mathematics department forces you to learn some unix commands
which can, surprisingly,
come in very handy.