Adding spin to spots

Preferences can also be created within the coverage zone of the spot. These preferences are used to select a cell located at some specific point of that zone. For the spot image027, a function image063 may be chosen, such a way, that cells located at some direction will be privileged. This direction is denoted by the vector image065, which is the spin of the spot.

Function image063 may be calculated as image067 where image069 is the Euclidean distance from spot’s origin to cell image003image073 and image075,  express the alignment of the cell image003  to the spin image065 , being image078 a vector perpendicular to image065.

Values image082,  for cells within the coverage zone of image027 may be obtained locally, assigning initial values to cells members of initial coverage zone, then applying a local function to calculate values for new cells, as the coverage zone expands.

e-incidence

The animation demonstrates how applies the Energy Incidence Criterion in order to select the correct cell. The positive spot´s spin points at specific location in cell space. At step 6, this configuration causes the selection of the cell which is the most aligned with the vector, among the three covered cells. That cell is born, generating a negative spot with inverse spin. Again, this spot selects the cell forming the lowest angle with its own spin.