Classic Iterated Function Systems

Larry Riddle, Agnes Scott College

Sierpinski Carpet Relative IFS Demonstrations

The videos below illustrate the first four or five iterations in the construction of several Sierpinski Carpet Relatives via scaling, translations, and rotations. In the actual iterated function system, the scaling is done with respect to the origin, then the rotations would be done around the origin before the final translations. In the videos the translations are done before the rotation. This was done primarily for convenience is producing the video.

 

 

 

 

 

 

Credit: Manim Community Edition