It is convenient to consider sunflowers on the Argand plane. The two enantiomorphs of the normal sunflower are represented by: z_n = n^(1/2) * exp(2*pi*i*n/phi) and z_n = n^(1/2) * exp(-2*pi*i*n/phi) This suggests the possibility of a generalisation to Hamilton's quaternions. Indeed, we get a set of SO(3) sunflowers, by replacing 'i' with any of the square-roots of -1 in the above formula. They are all congruent to the normal sunflower, and therefore all two-dimensional. What a shame. However, this idea is not completely disastrous. If we use 2 parameters, instead of just one, we can create something like this: z_(l,m) = (l+m)^(1/2) * exp((2*pi/phi) * (i*l + j*m)) If we define exp(w) = 1 + w + w^2/2! + w^3/3! + w^4/4! + ..., then the non-commutativity of multiplication should pose no problems. I have no idea what this beast looks like, though. Sincerely, Adam P. Goucher