GEOMETOR • thompson

Mathematical Morphology, Gnomonic Growth & Dynamic Symmetry — D’Arcy Wentworth Thompson (1917) & Jay Hambidge (1919–1920)

Digital critical edition, synchronized 3-track Book Codex, calibrated .euclid-graphic SVG plates, and cross-repository concordance for D’Arcy Wentworth Thompson’s On Growth and Form (Cambridge University Press, First Edition, 1917) paired with Jay Hambidge’s The Elements of Dynamic Symmetry (Yale University Press, 1919–1920), published with the Book Codex engine of photon-platform/publish.

Works (Opera)

On Growth and Form (1917) & Dynamic Symmetry Companion (1919–1920)

On Growth and Form, First Edition (Cambridge: University Press, 1917, xv + 793 pp., 17 chapters) · The Diagonal (Vol. I, Nos. 1–12) & Dynamic Symmetry: The Greek Vase (New Haven: Yale University Press, 1919–1920).

Thompson’s landmark synthesis of classical geometry, physical mechanics, and comparative biology—spanning Galileo’s Square-Cube Law, Plateau’s $120^\circ$ and $109^\circ 28' 16''$ soap-film equilibria, the bee’s rhombic dodecahedral cell, Kelvin’s minimal-foam tetrakaidecahedron, Haeckel’s Radiolaria, Bernoulli’s equiangular spiral ($r = a e^{\theta \cot\alpha}$), Hero’s gnomons, Fibonacci phyllotaxis, Culmann’s crane and Meyer’s femur trabeculae, and Cartesian coordinate transformation grids—paired with Jay Hambidge’s Euclidean root-rectangle ($\sqrt{1}\dots\sqrt{5}$) and whirling-square ($\phi$) proportion.

Context & Architecture