5.4. Homework

Use your answer to Exercise 5.5 to create a Python notebook which simulates the Game of Life. The notebook should be well-organised with import statements, functions and executable code clearly separated.

Investigate how the long-term behaviour of the simulation depends on the initial conditions. Can you find initial states that result in the following?

1. All life eventually dying out

2. A pattern which eventually stays constant

3. A pattern which eventually repeats in a cyclic manner

4. A pattern which grows indefinitely

Use markdown cells to clearly explain your answers.