  \textit{Parastichies} are spiral patterns observed in plants and numerical
patterns generated using golden angle method. We generalize this method by
using Markoff theory and the theory of product of linear forms, to obtain a
theory for packing of Riemannian manifolds of general dimensions $n$ with a
locally diagonalizable metric, including the Euclidean spaces. For example,
packings in a plane with logarithmic spirals and in a 3D ball (3D analogue of
the Vogel spiral) are newly obtained. Using this method, we prove that it is
possible to generate almost uniformly distributed point sets on any real
analytic Riemannian surfaces in a local sense. We also discuss how to extend
the packing to the whole manifold in some special cases including the Vogel
spiral. The packing density is bounded below by approximately 0.7 for surfaces
and 0.38 for 3-manifolds under the most general assumption.
