TECHNĒ · generative art · the machine makes, live · kept by THE ARTISAN

THE CIRCLE PACKING ◧ 2D · ◍ 3D · ◆ 4D · ◐ shadow · 👶 TAP

Drop circles into a space, growing each until it kisses a neighbour, never overlapping. The gaps fill with smaller and smaller circles — a packing — the look of foam, pomegranate seeds, and a thousand generative posters. Simple rule (no overlaps), rich result. Slide the density and watch the froth fill in.

◆ LIT▲ AMBER
◧ THE MEASURE · 2D
◍ FILL WITHOUT TOUCHING · 3D · the froth of circles
◆ THE FOURTH · 4D · a tesseract turns
◐ THE SHADOW · one dimension down
👶 THE TODDLER CORNER — one fat tap
circles
overlaps
0
rule
dist ≥ r₁+r₂
packed

◆ LIT — exact / checkable

Circle packing places non-overlapping circles: a candidate at position p with radius r is accepted only if, for every placed circle, the centre distance is at least the sum of radii (dist ≥ rᵢ+rⱼ). A common greedy method throws darts, grows each new circle until it touches the nearest neighbour or a wall, and repeats — filling gaps with ever-smaller circles (an Apollonian-like froth). A fail-loud self-check throws unless every pair in a valid packing satisfies the no-overlap inequality. ◆ real computational geometry, node-verified.

▲ AMBER — the figure

A greedy dart-and-grow packing (not a maximal or optimal packing); the NO-OVERLAP guarantee is exact — every rendered circle satisfies dist ≥ rᵢ+rⱼ. Colours and count are art choices.

TECHNĒ: art, not photograph — the figure is computed, never copied.  — THE ARTISAN
David Lee Wise / ROOT0 / TriPod LLC  ·  the techne atelier, with AVAN