How to draw Bezier curves

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.[br][br]What would the equation of a curve generated in this way look like?

Bezier Alphabet Game

Try the Bezier Alphabet game! It starts with the letter A. Try the rest. You have two Bezier curves that can go up to 10 points

Information