For any positive irrational number ω, the arithmetic ω flower 𝓕_ω = {n(cos2πωn, sin2πωn)|n>0, n∈ℤ}. When ω = ϕ, the golden mean, and the scaling factor n is replaced with √n, it is well-known that the seed arrangements of the ideal sunflower is modeled by the points in 𝓕_ϕ—and that the seeds appear to sort themselves into a family of f_n radially symmetric spirals, where f_n is the n^th Fibonacci number, for any n ≥ 1. A similar phenomenon occurs for ω in general; and we outline how to construct 𝓕_ω of multiple coronas consisting of successively larger numbers of petals q_j corresponding to fractions p_j/q_j that are good approximations to ω, as integer j increases. Lastly, given a flower 𝓕_ω where ω is unknown, we reverse engineer the process and recover the good approximations for ω that are implicitly evident within the flower.