Prediction — where it appears
A disc is a cylinder
Vogel's seed head makes the rise fall as one over radius squared, so a disc is not one lattice but a family of them. Feed that into the cylinder's ladder and it predicts where a sunflower's spiral counts change — with nothing fitted, and against a counter that never sees either model.
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.
Named alongside it
The objects these essays reach for when they reach for this one.
Divergence angleArtefactCross validationCut offCylinderEnsembleThe range of the interactionLadderMetastabilityNegative resultNeighbourhoodNoise