Phyllotaxis
the spirals are counted, not admired
Generator

the-neighbourhood-that-changes-nothing

The prediction was that a rule with fewer neighbours would convert a jostle into divergence scatter more efficiently. Across a sixfold widening the ratio sits between 0.97 and 1.00, and the one point that differs is the narrowest, at 0.82 — smaller, where the prediction wanted larger. The row underneath is why: past four spacings the rule builds the identical lattice, internode for internode, so there is no neighbourhood left to widen.
A sixfold neighbourhood, and nothing to diluteThe prediction was that a rule with fewer neighbours would convert a jostle into divergence scatter more efficiently. Across a sixfold widening the ratio sits between 0.97 and 1.00, and the one point that differs is the narrowest, at 0.82 — smaller, where the prediction wanted larger. The row underneath is why: past four spacings the rule builds the identical lattice, internode for internode, so there is no neighbourhood left to widen.00.50012346912how far the rule looks, in units of the local spacingscatter a jostle adds, over the scatter the same displacement adds after the choiceequal damage0.82 — the wrong wayinternodes that differ between one neighbourhood and the next422→3113→4none4→6none6→9none9→124 runs per point · window 32–190 nodeseach disagreement is one grid sample

Drawn at its defaults, in the neighbourhood, swept. It takes no options at all, so every essay calling it gets this exact drawing.

Called by 2 essays

the blast radius of changing it

What a plant might be doing

The neighbourhood was already settled

The previous phase explained a small difference between two kinds of noise by saying a jostle is diluted among some thirty neighbours. Sweep the neighbourhood sixfold and the difference does not move — because past four spacings the rule builds the identical lattice, internode for internode. There was nothing to dilute.

 The claims, measured

What a summary throws away

Four statistics this collection has relied on turn out to be incapable of varying with the thing they describe — one is invariant to shuffling, one is fixed by a theorem, one is a parameter that stopped mattering, one is a fitted number selected into being wrong. In each case the second statistic was free and nobody had taken it.

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