I took the word playground as my starting point—the generative aspect goes without saying! I'm a little old for playgrounds, alas: I love a roundabout, but getting off is fraught with dizziness; worse, I find my hips no longer comfortably fit within the confines of the slide, leading to less-than-optimal velocity.
No, my kind of playground is the sweeping, glitter-strewn expanse of the dance floor, with laser light bouncing from the glitterball, and the DJ spinning what I'm assured by my tea-drinking companions over shortbread, are still known as 'phat tunes'.
And so, it begins. This is no ordinary line. It has a starting point, it has segments, and it has complicated mathematics that allows me to calculate its entire length, and the position of any point along the whole, multi-segment line. I say complicated mathematics; I'm clearly making out it's harder than it is.
Anyway, this is the starting point. At the moment, those inflexion points are hard-coded, but that's the next step. Reflection.