Phyllotaxis
the spirals are counted, not admired
Series

Cone — the series

One essay so far on this idea, and more questions about it than one essay answers.
  1. A cone unrolled: 105 nodes at 137.51°, sector 126°. The counter is shown these coordinates and the sector angle and nothing else. Near the apex it finds 3 and 5; near the base, 8 and 13. The rise falls as one over the distance from the apex, so the pair has to climb.

    A cone has a rise that falls

    A stem holds one parastichy pair for ever and a seed head changes its pair with radius. A cone does both — it is a cylinder whose rise falls as one over the distance from the apex, and the same blind counter that finds one answer up a stem finds four up a cone.

    part 2 · cylinder

All series