Phyllotaxis
the spirals are counted, not admired
Generator

the-memory-and-the-rate

The lag-one correlation of a noiseless rising stem, against how fast it climbs the ladder. Below about sixty nodes per rung it is negative; above it, 0.54, 0.74, 0.58, 0.58, 0.55 — flat across a fivefold change in rate. The horizontal line is the same rule with the rise held FIXED, where the correlation is -0.68. So the +0.74 the previous phase called the sequence's own memory is the pattern chasing an equilibrium that is moving under it.
The memory belongs to the rise, not to the latticeThe lag-one correlation of a noiseless rising stem, against how fast it climbs the ladder. Below about sixty nodes per rung it is negative; above it, 0.54, 0.74, 0.58, 0.58, 0.55 — flat across a fivefold change in rate. The horizontal line is the same rule with the rise held FIXED, where the correlation is -0.68. So the +0.74 the previous phase called the sequence's own memory is the pattern chasing an equilibrium that is moving under it.-0.50000.500100200300nodes per rung of the ladder — how slowly the shoot climbscorrelation between one divergence and the nextthe rise held fixed — -0.68no noise · 185, 254, 323, 438, 553, 922, 1474 nodesthe threshold is in the rate, not the rule

Drawn at its defaults, in the count, read out of the angles. 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

Stems and cones

The memory was the rise

The previous phase measured a lag-one correlation of 0.54 in a noiseless divergence sequence and called it the sequence's own memory. Hold the rise fixed and there is no sequence at all — every angle identical — and under a disturbance the correlation is negative. The 0.54 belongs to the pattern chasing an equilibrium that is moving under it.

 Where the angle comes from

A shoot too fast to remember

Sweep the rate at which a stem climbs the ladder and the correlation between one divergence and the next changes sign — negative below about fifty-five nodes per rung, positive above it, with the flip inside one step of the grid. The instrument the previous phase proposed is unavailable on a fast shoot, and nothing said so.

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