Phyllotaxis
the spirals are counted, not admired
Generator

cone-unrolled

The counter is shown these coordinates and the sector angle and nothing else. Near the apex it finds 5 and 8; near the base, 13 and 21. The rise falls as one over the distance from the apex, so the pair has to climb.
A cone unrolled: 260 nodes at 137.51°, sector 126°The counter is shown these coordinates and the sector angle and nothing else. Near the apex it finds 5 and 8; near the base, 13 and 21. The rise falls as one over the distance from the apex, so the pair has to climb.5 and 8 near the apex13 and 21 near the baseflare 0.35 · step 1 · 260 nodescounted 5/8 then 13/21

Drawn at its defaults, in cones and other surfaces. It takes no options at all, so every essay calling it gets this exact drawing.

Called by 1 essay

the blast radius of changing it

Stems and cones

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.

All 105 generators