PPT Slide
Hexagons may be modeled by setting to zero all of the imaginary parts of the complex coefficients of the complex Swift-Hohenberg equation and by choosing m > 0, W > 0, z non-zero, e = 0 and g > 0. On the right, we show the result of a simulation with
m = 0.2, n = 0, a = 1, b = 0,
W = 1, h = 0, g = 1, d = 0, z = 1 and e = 0, for which y is real.
This pattern is still slowly evolving in time. Note the presence of penta-hepta pair defects at the boundary of large domains in which the pattern is regular.