We're doing an abridged version of Zach's 'algorithms for animation class' at SFPC, and the past two days have been diving into trigonometry. The challenge for the morning was to make a John Whitney inspired animation, exploiting the awesomeness of sin/cos/tan/arctan.
I've also been playing with Lissajou patterns on the oscilloscope from FM and AM synthesis in Max - amazed at how simple and beautiful they can be!