DIRECTIONS:   In this applet, you create a Bezier curve by placing control points. The applet uses the Bernstein-Bezier form

c(t) = B₀ⁿ(t)p₀ + B₁ⁿ(t)p₁ + B₂ⁿ(t)p₂ + ... + B_nⁿ(t)p_n

to create the curve by computing the basis functions

B_iⁿ(t) = [n! /( i! (n-i)!)] tⁱ(1-t)^n-i

at various values of t, and then computing the points on the curve.

The applet allows you to create multiple curves, by using the check box to enable multiple curves and then selecting new curves.