In that representation pure rotations correspond to the base being atomic.
We will call the boundary components and fixed points of the rotations singularities.
The crop rotations compared intercropping and two sole crop rotations.
Both of these subsymmetries produce a half-turn, or two rotations, through 180°.
Such motions can always be represented as pure rotations, but around a mobile pole.
Furthermore, the order of the cases now becomes significant since the rules for single and double rotations assume that the red parent's sibling is black.
In addition, a limited number of field studies have confirmed the ability of brassicas in rotations to suppress weeds22-24, nematodes25 and fungal pathogens26.
They used a wavelet approach that is scale-independent and therefore constrained their similarity measure to consider only object rotations.