Sierpinski's Carpet

Two methods of generating Sierpinski Carpet

Sierpinski's Carpet

Method I

Try to compute N, S, and D.

0 Iterations1 Iterations
2 Iterations3 Iterations
4 Iterations5 Iterations

Notice the similarity to generating the Peano Curve. Only one piece is missing here.

Method II

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(c) Copyrighted 1994,1995,1996,and 1997 by Mary Ann Connors. All rights reserved. If you wish to use any of the text or images in Exploring Fractals please contact its author Mary Ann Connors at the following address. Thank you.

Dr. Mary Ann Connors
Department of Mathematics & Statistics
Lederle Graduate Research Tower
University of Massachusetts
Amherst, MA 01003
Email:
mconnors@math.umass.edu
mconnors@math.umass.edu