Introduction
The game Quatrainment is played by first filling two four by four grids randomly with any number of X’s,
as displayed in Figure 1. The goal of the game is to manipulate the pattern of 1a so that it matches 1b by
manipulating the states of certain cells. To understand which cells we are manipulating we will label them 1
through 16 as displayed in figure 2. Selecting different cells has different effects on the grid.
One must understand that there are three different types of cells: corner cells, edge cells, and center cells,
each with their own transformation rule when selected: