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How to draw Bezier curves

Author:
Jon Ingram
Topic:
Geometry
This sketch demonstrates how Bezier curves are constructed.
Given a fixed number (n) of control points, you create a new set of n-1 control points by moving a proportion of the way between successive points. Repeat until you only have one control point, and the locus of that point is the Bezier curve. What would the equation of a curve generated in this way look like?

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