Well, I hate to tell you this, but there is no 'off' on a 3 way switch. You only have two choices, usually up or down.
There are only two current paths on a 4 way, they just toggle and like the 3 way switches you only have two choices.
I was taught stuff in high school that was wrong, too. Like a proton being an elementary particle when in fact, it consists of three quarks.
And that Marconi invented radio.
Edison didn't invent the light bulb, either. He didn't even invent the tungsten filament, one of his engineers did.
The list goes on, but the truth always lies in the posts of this forum.
You just have to learn to sort.....