I'm new to Cellular Automata. I'm looking for examples of Game of Life board states in which only one cell changes in the next generation (to show the effect of the rule that was applied). I'm looking for separate examples for all the 4 rules (as specified on Wikipedia).
The 4 rules are:
- Death by underpopulation (less than 2 neighbours)
- Survival (2 or 3 neighbours)
- Death by overpopulation (more than 3 neighbours)
- Reproduction (exactly 3 neighbours)
I have found examples for all the rules except overpopulation. Can you please help?
Edit: Explaination using example from the accepted answer, to explain visually:
I'm looking for a configuration of the board in Conway's Game of Life, where only one cell will die, due to overpopulation (rule 3). So, if this is the current state / configuration of the board:
The state of the board will become this, in the next generation:



