How many sides — where it appears
Four fractions with one denominator
The dip in a head's side-count disorder is as wide as 150·q/n², measured over six fractions — every one of them a Fibonacci convergent, which is the emptiest neighbourhood a denominator ever gets. So the law could be about the denominator or about how well the fraction approximates its neighbours. Four fractions of 55 at one head size settle it in one figure.
A width read off a staircase
Two fractions of the fourteen measured return a dip width that moves by a factor of two when the head size changes, where the others hold to three per cent. The cause is not their neighbourhood. It is that the disorder statistic changes only when the tessellation changes, so the curve a half-width is read off is a staircase, and a width narrower than the tread cannot be read at all.
Named alongside it
The objects these essays reach for when they reach for this one.
ArtefactCensusConvergentsHonest limitsIdentifiabilityMeasurementRational angleSamplingSummary statisticVoronoi cellsContinued fractionDiscretisation