Hello, how does your model know which way to turn i.e. left / right/ straight? If the points had some geographic location, then you could easily just create points and lines from each and then generate a polygon around the point with the ID.

I imagine this more like a grid mesh with few rules :

the starting point always will have ID =0 and will have the Y coordinate = 0  

the nodes cannot have Y coordinate negative and the lines between nodes cannot intersect 

it will look like a tree diagram rotated at 90 degrees since there is no loop