Fig. 6. A two-dimensional lattice model of Fz6-/- hair
follicle orientation development. Each hair follicle is represented by a
unit length vector placed at one of the vertices of a lattice of equilateral
triangles. After the initial vector orientations are set, the lattice develops
by repeated application of an updating rule, which specifies that each
vector's orientation becomes modified by adding to it the vector sum of its 18
closest neighbors after that sum has been scaled to 2% of its magnitude. This
number of neighbors corresponds to two concentric circles of surrounding
lattice points. The starting configuration (0) is a set of randomly oriented
vectors, and the lattice is shown after 10, 20 and 100 iterations of the local
consensus algorithm. Each vector orientation is represented by the angle and
color of the corresponding bar, as shown in the key to the right. Reproduced
with permission from Wang et al. (Wang et
al., 2006c).