Re: What to do wanting a 4th order Bézier?

[Hans Åberg]

> On 18 Sep 2016, at 14:41, Simon Albrecht <address@hidden> wrote:
> 
> On 18.09.2016 13:54, Andrew Bernard wrote:

>> What is it exactly that you are expecting a quartic to give you?
> 
> Oh, I think you’re quite overestimating the amount of in-depth mathematical 
> background I had – I just thought: ‘A 3rd order Bézier curve can have one 
> turning point, but I need two turning points, so I’d need a 4th order 
> Bézier’. Which I now see is wrong, after some experimenting with the 
> interactive fields in that article you linked: it requires a 5th order Bézier 
> for that, and then it already gets quite unhandy.

Curves of higher polynomial order did not catch on, because they are not 
stable: small changes in the input variables can sometimes cause dramatic 
effects in the output curve.