Euler's Elegant Example

Author:
maaadmin
This applet illustrates Euler's Elegant Example: an infinite family of cubic equations that pass through nine fixed points. The equation is where is a parameter that may be any real number.
In this applet, you can set particular values of using the slider control, or click on the play icon in the lower-left corner and observe the curve as cycles through values between −4 and +4.