I — Information

Information emphasizes persistent structure: patterns stable enough to be re-identified across time. These visual aids are not presented as proofs—only as intuition builders.

Stability & Compressibility Explorer

Information is persistent structure: patterns that stay stable enough to be referred to again.

What to look for

The cyan outlines mark regions that have changed very little over the recent window.
Chaos produces difference and relation, but often low persistence (low information).
Settling and repeating patterns are stable enough to be re-identified across time.
Information here is about persistence, not meaning or goals.

Controls

Regime presetiSwitches between different local-rule balances to illustrate when patterns settle (more stable) versus churn (less stable).

Presets change the local rule balance (inertia/jitter/radius) to show different stability regimes.

Interaction radiusiHow far each cell looks. Wider neighborhoods tend to merge and smooth patterns; local neighborhoods preserve sharper boundaries.2 cells (wider)

SpeediSimulation speed in steps per second. Higher is faster (immediate effect).12 steps/sec

Stability window (steps)iHow far back we consider when labeling a cell ‘stable’. Larger windows require longer persistence (watch 10–20s).220

Outline sensitivityiThreshold for counting a region as stable. Lower = stricter (fewer stable regions). Adjust, then watch a few seconds.12%

Outline strengthiVisual opacity/strength of the stability outlines (purely visual; does not affect the dynamics).0.85

How this simulation works

The grid evolves by a simple local update rule (neighbors influence neighbors) with a bit of inertia and rare random flips. Alongside the grid, we track how often each cell changes within a recent window.

A cell is treated as stable if its change-rate stays below a threshold. The cyan outlines mark borders between stable and unstable regions.

This is a teaching aid: the stability/“compressibility” indicators are rough proxies, not proofs.

IO note

I (Information) emphasizes persistent structure: patterns stable enough to be re-identified across time. Nothing here adds meaning or goals—only stability.