4. Cellular Automata and Fractal Evolution
Sensitivity to Initial Conditions
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:
two adjacent live cells, and
three adjacent live cells.
As you go through the examples, can you find a pattern?
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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Return to
Examples of Cellular Automata Patterns.
