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fivefold

A free visualization — play it in your browser, no install. Penrose tilings in the browser: grow kites and darts or rhombi by substitution and watch the golden ratio appear in the tile counts.

by @fushanbobfan · fushanbobfan/fivefold on GitHubLANG JavaScriptHOSTED ON FUSHANBOBFAN.GITHUB.IOUPDATED 6 Oct 2026

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Controls: Tiles: kites and darts (Penrose's P2 set) or thick and thin rhombi (P3)

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From the README

Penrose tilings in the browser. Start from a sun or a star, cut every tile into smaller copies of the two Penrose shapes, and repeat until the plane is covered by a pattern that never repeats.

Both classic tile sets are here: Penrose's kites and darts, and his thick and thin rhombi. The counts panel shows the ratio of the two tiles closing in on the golden ratio, φ = 1.618…, one generation at a time.

No build step and no dependencies. The substitution rules, the view, the colouring, the renderer, the counts and the share links are plain ES modules covered by a Node test suite; only src/main.

Read the full README on GitHub →

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