GEOMETOR • phyllotaxis

Symbolic modeling, interactive 2D/3D web visualizations, and recursive meristem path propagations of botanical geometry.

geometor.phyllotaxis investigates the mathematical laws governing botanical form—where primordia emerge from an apical meristem at the Golden Angle:

\[\Phi = 2\pi\left(1 - \frac{1}{\phi}\right) = \frac{2\pi}{\phi^2} \approx 137.507764^\circ\]

Rather than rendering thousands of static PNG files, geometor.phyllotaxis embeds live 2D HTML5 Canvas and 3D Three.js WebGL laboratories directly inside this documentation:

  • 2D Apical Meristem & Zoetrope Studio — 2D Apical Meristem, Parastichy & Zoetrope Studio: Live planar growth ($r = csqrt{k}$), rational Fibonacci convergent scrubbing ($F_n/F_{n+2}$), $(8, 13)$ parastichy spiral overlays, botanical wedges, and real-time $137.5^circ$ stroboscopic zoetrope rotation.

  • 3D Node-as-Path & Recursive Meristems — 3D Node-as-Path & Recursive Meristem Studio: Every node originates on its parent meristem’s axis and propagates outward along a 3D trajectory $gamma_i(tau)$, with any node capable of maturing into a secondary or tertiary child meristem.

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