Discretized versions of continuous structures can be used to great effect to increase the amount of information conveyed in mathematics, art and science. As an example, we will examine a model for a confined polymer in a solution, Figure 1, as imagined by Pierre-Gilles de Gennes [1], and an analogous mathematical model of the same decomposition of space, rotated counterclockwise through 90 degrees as in Figure 2, [3].