Phyllotaxis
the spirals are counted, not admired
Generator

The settling share against the rise, at 40 starting angles

One line per falloff exponent: how many of the 40 starting angles still reach a lattice at each rise, coarse on the left. The wall is where a line crosses a half, and the shaded band is the range of rises consistent with that crossing at one standard error — from the finest rise whose share is confidently above a half to the coarsest whose share is confidently below it. Every one of those bands is wider than the factor of 1.62 the four walls differ by, and at exponents 4 and 5 no rise in the table has a share confidently above a half at all.
The settling share against the rise, at 40 starting angles. One line per falloff exponent: how many of the 40 starting angles still reach a lattice at each rise, coarse on the left. The wall is where a line crosses a half, and the shaded band is the range of rises consistent with that crossing at one standard error — from the finest rise whose share is confidently above a half to the coarsest whose share is confidently below it. Every one of those bands is wider than the factor of 1.62 the four walls differ by, and at exponents 4 and 5 no rise in the table has a share confidently above a half at all.

Drawn at its defaults, in forty starting angles. 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

Where the angle comes from

A wall that was never measured

Three samplings of the starting angle give three orderings of the four falloff exponents' walls and a spread that does not shrink, while every error bar behind them halves. The reason is that a wall is a crossing of a nearly flat curve, and nobody had asked how well it is located.

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