Simulations · Δ
Δ — Difference
Visual aids for the Difference stage. These tools are not presented as proofs—only as intuition builders.
Minimal Difference Engine
Start with a tiny difference, let it propagate via local coupling, and watch stable patterns emerge.
Difference density (edge disagreements)
Controls
Grid sizeiChanges the simulation resolution. Larger grids show finer detail but run slower.140
Noise injectioniRandom flips that can seed new boundaries or dissolve patterns. This is statistical—watch a few seconds after changing.0.05
DiffusioniHow quickly local differences spread. Higher diffusion tends to smooth/merge regions; lower diffusion preserves blocky structure.0.25
ThresholdiThe local decision boundary (around 0.5). Small changes can shift the system from blobs to speckle—adjust slowly.0.52
SpeediSimulation steps per animation frame. Lower is calmer; higher evolves patterns faster (immediate effect).0.6
What to look for
- Stable regions indicate structure emerging from local differences.
- Noise can either dissolve patterns or help seed new boundaries.
- The density line shows how “edginess” rises/falls as patterns form.
Already have the older Δ → R particle toy? It's still available here: open Δ → R →