mission

geometor.phyllotaxis explores constructive and dynamic models of botanical growth grounded in the divine proportion $\phi = \frac{1 + \sqrt{5}}{2}$.

Core Principles

  1. Exact Symbolic & Rational Foundations: Bridging exact algebraic representations of the golden angle $2\pi(1 - 1/\phi)$ and Fibonacci rational convergents with real-time visual analysis.

  2. Interactive Web Laboratories: Replacing static batch-rendered PNG sequences with live 2D HTML5 Canvas and 3D WebGL laboratories embedded directly inside the documentation.

  3. 3D Nodes as Paths & Recursive Meristems: Modeling 3D botanical architecture where each primordium traces a developmental path $\gamma_i(\tau)$ from its origin on the parent meristem, and any node tip can mature into a child meristem.