ECC creates pixels from parameters rather than editing a stored photograph. A seed and the same settings reproduce the same surface, making designs compact, repeatable and adjustable.

In the UI: New seed changes the starting state; Save preset records the settings needed to recreate a design.

Fractal noise combines related structures at several sizes. This resembles the nested detail seen in rock, bark, clouds and terrain without copying any particular natural object.

In the UI: Scale sets the broad feature size. Octaves, persistence and lacunarity control how finer layers are added.

Chaotic systems are deterministic but highly sensitive to their starting conditions. ECC uses that sensitivity to disrupt regular noise and create structured variation that does not feel mechanically repeated.

Logistic cascade: a classic nonlinear recurrence controlled by Logistic r. Increment-coupled tower: an alternative experimental modulation engine available in Studio.

Reaction–diffusion models interacting quantities that spread at different rates. Similar mathematical ideas are used to study pattern formation in spots, stripes, cells and chemical media.

In the UI: ECC evaluates macro, mid and micro scales. Feed, kill, diffusion, iteration and blend controls determine how those pattern layers evolve and combine.

When periodic mode is active, the mathematical domain wraps at its edges. The left joins the right and the top joins the bottom, allowing exported surfaces to repeat as tiles.

In the UI: Seamless tile enables the periodic output; 3 × 3 preview exposes edge transitions before export.

WebGL shader programs perform the surface calculations on the graphics processor and translate the resulting field through a five-colour palette. Studio can export colour, height data and reproducible presets.

The verification tool checks seam continuity, seed variation, finite reaction–diffusion values and deterministic repeatability.