- John Golden
Miranda Molina posted a neat animation showing successive generations of Bézier curves. http://mirandamolina.tumblr.com/post/28095982332/de-casteljaus-algoritm-produces-successive That got me interested in making the curves in GeoGebra, and in the interesting math behind them. Cf. Wikipedia http://en.wikipedia.org/wiki/B%C3%A9zier_curve#Linear_B.C3.A9zier_curves In particular, it looks like De Casteljau does not get enough credit! This sketch introduces the curves, then looks at them in the context of a quadrilateral. Use the n slider to step through the stages. At n=5 there's space and a simple tool to make your own.
More GeoGebra at mathhombre.blogspot.com