Bézier Quadrilateral

Miranda Molina posted a neat animation showing successive generations of Bézier curves. [url]http://mirandamolina.tumblr.com/post/28095982332/de-casteljaus-algoritm-produces-successive[/url] That got me interested in making the curves in GeoGebra, and in the interesting math behind them. Cf. Wikipedia [url]http://en.wikipedia.org/wiki/B%C3%A9zier_curve#Linear_B.C3.A9zier_curves[/url] 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.

 

John Golden

 
Material Type
Activity
Tags
bezier  locus 
Target Group (Age)
15 – 18
Language
English (United States)
 
 
GeoGebra version
4.2
Views
1100
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