WORK 96 / ONE FIELD, CONTINUING

Taking
shape.

Plant a patch.
See what the edge does.

Two amounts share a small field. Plant, clear and advance it deliberately; keep a picture when you find a moment you want.

A field in progress.

0 model steps

The picture shows amount B. A fixed 16-ink scale runs from paper to green; B at or above 0.46875 uses the darkest ink. The rust patch is only an editing outline.

B = 0 B ≥ 0.46875

Nothing advances on its own. Each batch is one whole-field Undo change; some rate choices make little visible change.

A flat picture of this moment, without the patch outline. This desk does not reopen files.

INTERVENE, THEN CONTINUE

Place a patch.

Draft patch: column 33, row 33, radius 4 · 49 cells. Radius zero is one cell. Opposite edges join, so a patch can continue across the other edge.

Plant sets A to 0.5 and B to 0.25. Clear returns that patch to A = 1 and B = 0. Both keep the field’s applied rates and model-step count.

Choose the rates.

Feed replenishes A; removal takes B out. Apply both together before the next advance.

Applied now: F = 0.0550 · K = 0.0620

What is continuing?

A and B are two numbers in each of the 64 × 64 cells. This is the classical Gray–Scott reaction–diffusion model, presented here as a manual picture-making field.

The numerical variant uses joined opposite edges, synchronous one-unit Euler steps, diffusion rates 1 and 0.5, and an eight-neighbour stencil (0.2 along edges, 0.05 diagonally). Each amount is clamped to 0–1 after every step.

Blank field preserves applied rates and returns the amounts and step count to the beginning. Restore example also restores its original rates. Undo and Redo retain the most recent 20 whole-field changes; patch-position drafts stay yours.

Karl Sims on reaction–diffusion ↗
Pearson’s Gray–Scott patterns ↗

Our deterministic two-patch beginning, ink scale and arrangement; no random picture is loaded.

Two planted patches, at step zero. Advance a batch, or place a patch of your own.