i have a problem whith cellualar automata

[besi]

Implement a cellular automaton with the following rules
based on the four-neighbors of a cell:
1. A white cell becomes black if the number of its black neighbors is not 1;
2. A black cell stays black if the number of its black neighbors is either 1 or 3:
3. Otherwise, the cell becomes white.

Starting from a single black cell at the center of the board,
Use a Timer object to animate the process,
and allow the user to stop the animation by a mouse click.

[hardwired]

Are you planning to do this with components or with drawing/painting. If drawing then what shape(s) did you have in mind. How close does another have to be to be considered a neighbor. Or is this a grid of some kind?