Concept

Epithelium — where it appears

3 essays name this object, across 2 fields. What follows is each of them, and the objects they name alongside it.
5 sides13420%6 sides45869%7 sides7311%665 bounded cellsmean 5.908 sidessix is forced, not chosen

Why the average cell has six sides

Not because hexagons are efficient. Because Euler's formula leaves a tiling no choice — count the edges two ways and the mean comes out at six, whatever the cells would prefer. The efficiency argument is a different claim about a different thing.

tissue · sixsides
upstream of the choicethe neighboursalready placedthe profileenergy by azimuththe choicethe least of itthe recordwhat a ruler readsfield noisejostle noiseplacement noiseone rule, three entry pointsthe order is the argument

The noise that arrives through the neighbours

The two kinds of noise this site had were idealisations that bracket the rule's choice. The realistic disturbance is neither: a primordium is placed exactly, and then the organ grows, so by the time the next one forms its neighbours have moved. That is a third kind, and it is invisible in every measurement a plant offers.

mechanism · noise entry
upstream of the choicethe neighboursalready placedthe profileenergy by azimuththe choicethe least of itthe recordwhat a ruler readsjostle noiseplacement noiseone rule, three entry pointsthe order is the argument

A growing organ is part of the rule

Every model on this site places primordia on a surface and then treats the surface as furniture. But the surface grows between one placement and the next, and that growth reaches the rule through the only channel it has — where the neighbours are. What looks like a boundary condition turns out to be a term in the model.

mechanism · mechanism claims

Named alongside it

The objects these essays reach for when they reach for this one.

BasinDivergence angleElongationMechanismMeristem growthNoiseThe placement rulePrimordiumAuxinDescription versus mechanismEnsembleEuler's formula

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