To illistrate the sensitivity to initial conditions of some CA,
for each of four one-dimensional, N = 5 binary CA we show the patterns evolving
from three initial conditions: |
*   a single live cell, |
*   two adjacent live cells, and |
*   three adjacent live cells. |
As you go through the examples, can you find a pattern? |
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Why do gaskets come up so frequently? |
Random initial conditions also illustrate sensitivity in another
way. |
After some intital transient behavior, a persistent pattern may arise. |
We might expect that a CA with this property would have only one persistent pattern. |
This example shows that is not always true. |
Click the small picture for a larger version.
Click each large picture to remove it. |
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