6- The game of life - Lycée Val de Durance (Pertuis)

This is a grid made up of square cells (squares!) whose states at time t+1 are defined according to the state of their neighbors at time t. A cell is either alive or dead.
A cell is either alive or dead. The rules of evolution are
- The cell survives if 2 or 3 neighboring cells are alive, i.e. a cell dies in the event of overpopulation or isolation.
- A new cell is born if 3 neighboring cells are alive.
Is it possible to find involutive cases (as large as possible), i.e. periodic cases that don't move?