Hi community,

I was wondering if anyone who had digged into this complex subject of mathematical description of a curve could help me throught this journey.

**What I’m after** : *Expressing graphically and mathematically (if not to complex), the construction of a Curve* (to be more precise: at least a Bezier curve (which seems easier to explain then a spline curve or a NURBS curve)). And I’d like to make a simple GH script so I don’t have to manually draw all of this each time.

Before I use to deconstruct a line in segments and arcs like this :

(BTW if anyone as a GH script doing only this in Rhino, I would be really happy if the person want to share the base code )

Now I need a little bit more complexity, but still want to be able to describe it. Bezier curve didn’t seems too complex : couple of handle points with simple formula to trace the arc. (now seems that the complexity depend on the number of control points you add?). Something like this maybe :

As I understand it (for now), giving the coordinates (distance, angle, position,etc) of these ancers points to a ‘‘constructor’’, he would be easily able to rebuild it ?

Thank you very much !!

Regards,

-CC