I beieve you’re looking for the word “splines”: grooves in a shaft.
About the forum dumping: you only run a risk that we will demand a proper writeup later on. Maybe better start now. This project has enough material and momentum to start a robot page now. Any good name for your vehicle/creature yet? Subscribed to Youtube, did you?
The layers should not cross, but It’s possible I missed a spacer or two in this prototype.
I would post the cad drawing from the top angle, but it’s even harder to interpret then that photo. It just looks like a bunch of randomly stacked pancakes seen from the edge.