Add Galton board at /galton#162
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Balls cascade row by row, deflecting right with probability p at each peg (log-space binomial pmf keeps the overlay stable at 16 rows). Bins accumulate landed balls with a yellow expected-count overlay drawn on the same scale (dropped x pmf). Bias slider 0.2-0.8 skews the pile off center; row presets 8/12/16 change the depth. Ball positions derive from rights - row/2 in bin widths plus per-row jitter, so streams stay aligned with the pegs at any canvas size. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01WgEKRuVdor8KhaiPkv38aQ
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ianalloway
marked this pull request as ready for review
July 19, 2026 04:35
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Summary
/galton— the classic bean machine: balls bounce through pegs and pile into the binomial distributionsrc/features/galton/board.ts: ball spawning/stepping (per-row right-deflection with probability p), bin accumulation, log-space binomial pmf (stable at 16 rows), ball x-position mappingsrc/pages/Galton.tsx: canvas with triangular peg field, animated falling balls, bin bars, and a yellow expected-count overlay on the same scale; rows presets (8/12/16), bias slider, pause/resetsrc/App.tsx: lazy-loaded/galtonroute with SEO metadataHow it works
Test plan
/galton— balls rain through the pegs and start filling center binsGenerated by Claude Code