Omniperiodicity

Overview

This game is based on Conway's Game of Life, a cellular automata played on a grid of cells, and each cell is either alive or dead. At each step. the grid changes state based on two simple rules: 

(i) Any alive cells (yellow) with two or three alive neighbors stay alive in the next step. Otherwise they become dead.

(ii) Any dead cells (gray) with exactly three alive neighbors become alive in the next step.

From these two rules a choatic behavior of cells emerges, and it is hard to predict how the cells will evolve over many steps.

Goal

An inital cell configuration is periodic if the grid cells returns to the inital configuration after a finite number of steps. In this game, you will try to figure out the initial cell configuration for periods from 1 to 42. It is a quite challenging endeavor, and it took the  Conway's Game of Life community decades to find out the configurations for all the periods. But I believe in you.

Controls

You can set the initial cell configuration using the mouse, and press SPACE to evolve cells. Note the after pressing SPACE, you can no longer change the grid states and can only watch it evolve.

Left Mouse Click : Mark an alive cell in the grid

Right Mouse Click : Mark a dead cell in the grid

SPACE : Advance to next step

Z : Undo

R : Restart

ESC : Return to level select

Note: Since this is made in PuzzleScript Next, it runs slowly and colorful numbers will appear next to cells that I cannot easily get rid of, so just ignore them.

Hackable version:

https://www.puzzlescriptnext.polyomino.com/play.html?p=f917e60e7483e113388426098...