Proposition: Create a tool which gives the Bézier curve of order n through n+1 given points. The obstacle here was that GGB Tools are ignorant of both GGBScript and the properties of lists. But there is always a way.
Tool (.ggt):http://www.geogebratube.org/material/show/id/83845 BezierCurve1[<number n>, <Polyline (n+1 points)>] ______ These are my self-study materials. Let me know how I can make them more useful to you. Bézier Curves: 2. High Order Curves