Chapter II On Magnitude
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The Mathematics of Living Form

I

Form follows force, not function alone

The shape of every bone and shell is governed by the mechanical stresses it endures, not solely by the pressures of natural selection.

II

The spiral is nature's most persistent geometry

From the Argonauta shell to the arms of a galaxy, the logarithmic spiral recurs because growth and rotation are the same operation.

III

Every organism is a diagram of the forces acting upon it

Cartesian transformation grids reveal that related species differ by continuous deformation, not discontinuous invention.

IV

Numbers precede the forms they describe

The Fibonacci sequence governs leaf arrangement, pinecone scales, and sunflower seeds before any observer counts them.

This is the On Growth and Form design system, applied by Curio Design — a design-style library for AI agents. Full On Growth and Form guide → designbycurio.com/learn/darcy-thompson-growth-form-1917