3D Node-as-Path & Recursive Meristems

In 3D phyllotaxic propagation, every node is a growing trajectory from its origin on the parent stem—and may itself act as a child meristem:

\[\gamma_i(s) = \mathbf{O}_i + \bigl(c\,\lambda^{g-1} s^\rho \sin\beta\bigr)\,\hat{\mathbf{u}}_i(\theta_i) + \bigl(c\,\lambda^{g-1} s^\rho \cos\beta + \kappa\,\lambda^{g-1} s^{1.15}\bigr)\,\hat{\mathbf{T}}_{\text{parent}}, \qquad s \in [0, \tau_i]\]

  • Origin ($\mathbf{O}_i$): Each node is anchored at the exact coordinates on its parent meristem where it was initiated at plastochron $t_i$.

  • Path ($\gamma_i(s)$): As age $\tau_i = t - t_i$ advances, the node grows outward along a 3D curve controlled by Radial Reach ($c$), Branch Pitch ($\beta$), and Gravitropic Curvature ($\kappa$).

  • Recursive Meristem ($D \ge 2$): Once a node reaches Maturation Age, its advancing tip frame $(\hat{\mathbf{T}}_i, \hat{\mathbf{N}}_i, \hat{\mathbf{B}}_i)$ spawns child node paths at the golden angle $\Phi \approx 137.5078^\circ$ scaled by $\lambda \approx 1/\phi$.

3D Presets:
Node Path Geometry & Growth
Recursive Meristems
Colors & Visibility

Keyboard Shortcuts

  • Space Play/Pause
  • R Reset
  • 0 Center Camera
  • T Toggle Panel
  • F Theater Mode
  • O Auto-Orbit
  • C/X Cycle/Rev
3D Meristem Telemetry
Plastochron Step:34
Meristem Height:12.2
Total Node Paths:0
Active Meristems:1
Gen 1 / 2 / 3:0 / 0 / 0