Ken Monks
    Dept. of Mathematics
    University of Scranton
    Scranton, PA 18510
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Monks to Sierpinski

Here are the first nine stages of a deterministic IFS whose attractor is the Sierpinski Triangle, starting with a photo of my head for the initial figure. This illustrates the fact that the attractor that an IFS converges to is independent of the choice of starting figure.

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Starting figure:

ifshead0.jpg (28234 bytes)

First iteration:

ifshead1.jpg (29847 bytes)

Second iteration:

ifshead2.jpg (32601 bytes)

Third iteration:

ifshead3.jpg (36593 bytes)

Fourth iteration:

ifshead4.jpg (41309 bytes)

Fifth iteration:

ifshead5.jpg (46447 bytes)

Sixth iteration:

ifshead6.jpg (47150 bytes)

Seventh iteration:

ifshead7.jpg (45486 bytes)

Eighth iteration:

ifshead8.jpg (44175 bytes)


Self Portrait

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This page was last  updated on Sunday, May 28, 2000 12:22:12 AM
. © Ken Monks