Phyllotaxis
the spirals are counted, not admired
Series

Rise and radius — the series

One essay so far on this idea, and more questions about it than one essay answers.
  1. Where the disc's counts change, predicted from a cylinder. The dashed lines are the transition radii the cylinder's ladder gives through h = c²/4πr², with nothing fitted. The dots are what the blind counter returns from the disc: 15 of 16 bands agree, and the ones that do not sit on a transition.

    A disc is a cylinder

    Vogel's seed head makes the rise fall as one over radius squared, so a disc is not one lattice but a family of them. Feed that into the cylinder's ladder and it predicts where a sunflower's spiral counts change — with nothing fitted, and against a counter that never sees either model.

    part 4 · cylinder

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