| 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? |
|
| 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. |
|
 |
|
|