Here are 10 samples of 30 points each |
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Below on the left is the aggregate of these 10 pictures; on the right is the picture of
300 iterates of one point. Both are reasonable representations of the gasket.
Click each picture for an overlay of the first four stages of the gasket. Click on the overlay to remove it. |
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Among other things, the 30 point pictures illustrate two less-familiar aspects of the
chaos game. |
(1) Manual chaos game experiments require a great deal of patience to produce a
recognizable image. |
(2) The evident variability between short chaos game runs is considerable. To illustrate
this, here is
an animation stepping through the 10 samples. |
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