Phyllotaxis
the spirals are counted, not admired
Generator

range-sweep

Both shapes are read in the same unit — the distance at which the weight has halved — and they still disagree, by 50%: the exponential holds a lattice out to about 3.75 spacings and the gaussian only to about 2.25. So the range is not what decides whether there is a pattern.
Where the lattice ends, for two falloff shapes at p = 1Both shapes are read in the same unit — the distance at which the weight has halved — and they still disagree, by 50%: the exponential holds a lattice out to about 3.75 spacings and the gaussian only to about 2.25. So the range is not what decides whether there is a pattern.00.2500.5000.750112345range at which the interaction has halved, in local spacingsshare of runs that still have a lattice3 runs per point, separated by 0.2° of noiseboundaries 50% apart

Drawn at its defaults, in a neighbourhood written down as a claim. It takes no options at all, so every essay calling it gets this exact drawing.

Called by 3 essays

the blast radius of changing it

Where the angle comes from

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.

 Where the angle comes from

Two shapes, one threshold

Read in the same unit, an exponential falloff and a gaussian one disagree about where the lattice ends by half. The quantity they agree on turns out to be one the previous phase measured for an unrelated reason — and it agrees with a bracket left by a sweep of a completely different parameter.

 Where the angle comes from

The fragility belonged to the window

A pattern that exists only because the rule cannot see far was expected to be held together by that cut, and to fall over when nudged. It does — while the cut is a loop bound. Written down as a falloff at the same range, the same rule keeps every run under the same nudge, at a scatter an inverse-cube rule cannot be told from.

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