Algebra and Allometry

D’Arcy Thompson’s method of transformations: Scarus (Fig. 519) on a rectangular grid deformed into Pomacanthus (Fig. 520), from On Growth and Form (1917). Introduction In the dynamical similarity post we looked at equivariant symmetries of the Lagrangian, which produce Noether-like quantities that are conserved not within a single trajectory but across families of similar trajectories. That is,…