Dynamics on Discrete Structures: A Dialog between Squares and Circles

Tiziana Giorgi and Robert Smits
Renaissance Banff: Mathematics, Music, Art, Culture (2005)
Pages 343–344


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].