Phyllotaxis
the spirals are counted, not admired
Concept

Branch selection — where it appears

2 essays name this object, across 2 fields. What follows is each of them, and the objects they name alongside it.
Fibonacci59.6%Lucas20.8%whorled10.7%other8.9%5 distinct pairs over 1200 divergencesrise 0.100Fibonacci 59.6%

How often is it Fibonacci

The claim that plant spirals come in consecutive Fibonacci numbers is stated as a near-universal. Asked of the geometry, the answer collapses with scale — at a coarse rise 67% of divergences give Fibonacci pairs, and at a fine one 15%, with whorled and unnamed pairs taking the rest.

wrong · frequency 100120140-3-2-1log₁₀ of the rise at the forkdivergence angle at the fork (°)137.508° — Fibonacci99.502° — Lucas13 forks, each solved for three equal families137.4730° and 99.5495°

The tree and the attractor

The dynamical model settles on the golden angle over a range of one parameter and on the Lucas angle outside it, and it cannot reach the low-growth end at all. The lattice tree reaches everywhere, has no dynamics in it, and produces the same two angles as limits of two paths. Two routes, one pair of numbers.

emergence · branch tree

Named alongside it

The objects these essays reach for when they reach for this one.

BranchContinuityRiseAttractorBifurcationCensusDivergence angleFibonacciFrequencyHysteresisLadderMeasure

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