I finished my first actual Arduino Uno project today. I saw an example of the LED fade project on the Arduino learning website. I quickly implemented it using a green LED across pin 11 and ground, but I was dissatisfied with the abruptness with which the brightness changed at the peak of brightness.
I decided that I would make a minor change. Instead of incrementing or decrementing the brightness by a fixed delta, I would calculate the brightness as the sine function of a constantly increasing radian.