Cellular Automata
A few examples of what you can ask Wolfram|Alpha about:
Elementary Cellular Automata
compute properties of an elementary cellular automaton
specify random initial conditions
compute a property of an elementary cellular automaton
General 1D Cellular Automata
specify the number of colors
specify the range
specify the number of colors and range
specify a half-integer range
Totalistic Cellular Automata
specify a totalistic cellular automaton