Whorled phyllotactic patterns.

Time sequence of emergence of primordia into whorled phyllotactic patterns. Parameter values are β = 0.5, γ = 0.2, c = 0.57, G[u] with a width of R/2, κ = 2, and the rest of parameters as indicated in the text. The whorls appear in the regions where the mean curvature changes more abruptly. (A) Four-whorled phyllotactic pattern, η = 0.3902. Images are taken at times T = 150, 250, 350, 450. (B) Three-whorled phyllotactic pattern, η = 0.2601. Images are taken at times T = 350, 450, 550, 650. (C) Mean curvature of the domain at times T = 150 and T = 350 for the 4-whorled pattern evolution shown in (A). (D)-(E) Top view of (A) and (B) at times T = 350, and T = 550, respectively.