I forgot to mention a discovery I made yesterday while teaching Theory of Computation. yesterday. I was introducing the concept of a finite state machine to my students by modeling the states of a three-way bulb. You know: click - 50W - click - 100W - click - 150W - click - off and so on. I’ve done this many times, but for the first time, I realized (maybe you’d already thought of this) that it’s really not a three-way bulb; it’s a four-way bulb. It’s modeled with a four state (off, 50,100,150) finite state machine.
Remember the next time you’re hunting for light bulbs that “three-way” is a misnomer.