3. Consider one-dimensional totalistic rules with 3 colors and two neigh- bors as before. White (0), grey (1) and black (2) are the colors. Totalistic means that the state in the middle cell in the ext generation only depends on the sum of the 3 cells. This sum goes from 0 to 6. How many rules of this type? You have to modify the command CellularAutomaton a little. Read about the Details. Time to have a look at a special rule, rule 1329. Since you have 3 colors you must express this number in base 3. Use command BaseForm. Start with one grey cell in the middle of a long string of white cells and try to understand what is going on. Is the pattern periodic?

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