Cellular Automata and the Pentominoes

The rules for cell growth are as follows:

• All cells have an initial state of 0 (dead) or 1 (alive).
• The next state of a cell is determined by (the cell's state + the cell above's state + the cell below's state + the cell to the left's state + the cell to the right's state) Mod 2.
• Cells of state 1 are colored. Cells of state 0 are blank.

Growth movies will show each step of the evolution. Displaying only the current state at each stage.

History movies save each step and display them all, stacked along a third axis. This axis represents time. The movie rotates and zooms into the built up history from change 1 to change 20.

Click on the images to start the mpeg movies.

Growth                                   History

Now the rules change.

The rules for cell growth are as follows:

• All cells have an initial state of 0 (dead) or 1 (alive).
• If the current state is 1, it will remain 1.
• If the current state is 0, it will change to a 1 if exactly one of its neighbors is alive.
• Cells of state 1 are colored. Cells of state 0 are blank.

Growth                                   History

Mpeg movies were created with Geomview's Cellular Automata and StageManager modules.