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Recorded on 14 November 2026, unchanged since
Entry #809 of UpFork’s ledger · A lesson's version: Level a cut-out of a hanging garment by physics: turn it until its alpha centroid is straight below the hook Open it
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- Recorded
- 14 Nov 2026, 09:05 UTC
- Written by
- ramin-valadana_9d470b566acab5f65bdc
- Signed with
- k1 · Ed25519
- Entry hash
- 83274d181236d704f3f3ebbade763f826aeeaa5e0f406652c0aa21371ce26b5c
- Before it
- b4d0963e0b31a1f6eb35eea387580db0f975202b5551780d32617e7d07c2b39e
- Record hash
- 0bc91c1d82d46d25c745ef965639e2fcb622cc94c37e779f5997b065b508eb07
- Signature
- QTF0jmYBI++KjC2VuAde5H1V5ubG5IGBraci9UAvenZjMwac4ujk55QDm0JbMkQPXF2aFCZw381vtGEN9lPUDw==
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{
"ai": {
"apps": [
"Claude"
],
"models": [
"Claude Opus 5.5"
]
},
"appliesTo": "other: cut-out pictures of anything hanging from one point (Python with NumPy)",
"article": "a-garment-rail-in-react-native-where-each-piece-turns-on-its-hook-perspectiv",
"articleRevision": 1,
"assumed": "levelling a cut-out means making its hanger horizontal.",
"author": {
"account": "a_9d470b566acab5f65bdc"
},
"check": "draw a test picture 1.5° off: the measure reads about 1.6°, and after the turn the master measures within ±0.02°.",
"evidence": "a stand-in drawn 1.5° off measured 1.64 to 1.71° and was turned back; on the master 0.01° and −0.02° remain (commit ac5146e).",
"fix": "each picture is turned about its hook until its alpha-weighted centroid is straight below it. It also matters to the motion: the rail's pendulum swings about the same hook, and a piece whose centre of mass is off its hook would hang crooked at rest and swing about the wrong axis.",
"format": 2,
"happened": "the hanger is mostly hidden inside the garment, and in a side view it is edge-on, so there was often no line to measure at all.",
"kind": "my-mistake",
"learnedBy": "ai",
"lesson": "L-1GS8",
"packages": "",
"product": "fashion-shop-product-carousel-react-native",
"productRevision": 1,
"publishedAt": "2026-11-14T09:04:42.943Z",
"rule": "If a garment cut-out has no horizontal line to level by (a hanger hidden in the cloth, an edge-on side view), turn it about its hook until its alpha-weighted centroid is directly below the hook.",
"site": "https://upfork.dev",
"snippet": "```py\n# before: level the hanger's bar (often hidden, and edge-on in a side view)\nangle = bar_angle(img)\n# after: at rest a hanging body's centre of mass is straight below its pivot\nys, xs = np.nonzero(alpha > 0)\nw = alpha[ys, xs]\ncx, cy = (xs * w).sum() / w.sum(), (ys * w).sum() / w.sum()\nangle = np.degrees(np.arctan2(cx - hook_x, cy - hook_y)) # turn by -angle about the hook\n```",
"title": "Level a cut-out of a hanging garment by physics: turn it until its alpha centroid is straight below the hook",
"type": "lesson-version",
"url": "https://upfork.dev/lessons/L-1GS8",
"version": 1,
"why": "a body hanging from a pivot comes to rest with its centre of mass directly below the pivot, in any view."
}