Bézier Curves -how the recursive algorithm works

A set of n+1 points will create a Bézier curve of nth order. Drag the first slider to select the number of points. Drag the point on the slider "Recursion Level" to 1 to see the first new set of points. Continue dragging the Recursion Level slider to the end to see all recursive steps and how the last point, generating the Bézier curve, is constructed. Hit the Play button to follow the generating point on the Bézier Curve.
More about the construction and other Bezier curve constructions at: http://lima.osu.edu/people/iboyadzhiev/MyGeogebra.htm#Bezier