I'm reminded of Runge's phenomenon that occurs when using polynomial interpolation with polynomials of high degree over a set of interpolation points

https://en.wikipedia.org/wiki/Runge%27s_phenomenon

Generally, what is the largest order Bezier Curve we would want to use in practice before using two piecewise ones instead? Are there certain useful bezier curves of high order that can not be made out of small order piecewise curves?

I'm reminded of Runge's phenomenon that occurs when using polynomial interpolation with polynomials of high degree over a set of interpolation points

https://en.wikipedia.org/wiki/Runge%27s_phenomenon

Generally, what is the largest order Bezier Curve we would want to use in practice before using two piecewise ones instead? Are there certain useful bezier curves of high order that can not be made out of small order piecewise curves?