Concept

Discretisation — where it appears

4 essays name this object, across 2 fields. What follows is each of them, and the objects they name alongside it.
0501000.2500.5000.7501growth parameter Gspread of the last 30 steps (°) — 0 means settledfilled dark: convergedthe usable range is stated, not implied

Where the model stops

Below a growth parameter of about 0.18 this implementation does not converge — the settled angle wanders over a hundred degrees however long the run. That is the range where the literature says the interesting behaviour lives, and it is worth a figure rather than a quietly chosen axis.

emergence · modellimit
-0.25000.2500.500123456lag, in nodescorrelation between a divergence and the one that many nodes latersampling band4 runs each · 243 divergences per runmatched at 0.75° of scatter

The sequence has a memory

Every measurement this collection has made of a stem's divergence angles throws the order away. A spread is invariant to shuffling. Put the angles back in order and there is a large correlation between one and the next — 0.54 with no noise at all — which is the rule correcting itself, and which nothing had looked at.

cylinder · sequence
00.2500.5000.7501012345distance from the candidate, in local spacingsweight the interaction is multiplied byhalf weightweight = f(d / 3√h)window runs to 4 widths

A neighbourhood is a hypothesis

Every simulation of this kind stops summing somewhere. The previous phase found that where it stops decides what pattern comes out — so the stopping place is not a detail of the program but a claim about how far a primordium's influence reaches, and it should be written down as one.

emergence · interaction range
00.2500.5000.750100.2000.4000.6000.8001candidate azimuth, in turnsenergy the rule minimises, scaled to its own rangeexponentialhard — a step, not a sloperise 0.02 · p = 1two cut-offs, one lattice

A hard edge is not a falloff

The prediction was that cutting the neighbourhood at three spacings would reproduce the pattern truncation had manufactured. It does — if the cut is smooth. A hard cut at the same distance produces no pattern at any width, and the reason is that it is the only one of the three whose neighbour set depends on where the candidate is.

emergence · truncation

Named alongside it

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

Divergence angleThe range of the interactionLattice offsetThe placement ruleRepulsionRiseTruncationArtefactCut offMeristemNeighbourhoodPrimordium

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