Thankyou, there's a lot interesting there.

I think for many of us, Bezier curves were our first introduction to curve geometry. They were certainly mine. In the late 90s, early 2000s, Rhino3D came out, and Quake 3 had curved surfaces, and suddenly splines were everywhere. For those of us of that generation, they are somewhat magic and back then I never saw a good explanation how they work -- but 20+ years later, this thread has provided multiple!