28:null 29:["$","title",null,{"children":"Spiral | Dmitry Baranovskiy | Observable"}] 2f:T43a,dots = { const dots = []; const π = Math.PI; dots.push([cx, cy, 0]); let α = π; let α0 = 0; let counter = 0; const ƒ = (t) => (a / 2 / π) * t; const ƒƒ = (t) => { const r = ƒ(t); return { x: cx + r * Math.cos(t), y: cy + r * Math.sin(t) }; }; let test = 0; while (true) { test++; const r = ƒ(α); const xy = ƒƒ(α); const a1 = α; const s = Math.cos(a1); const c = Math.sin(a1); const a2 = Math.atan2(c - a1 * s, s + a1 * c); if (r < a && false) { α += a / 100; α0 += a / 100; } else { α += a / r; α0 += a / r; } if (xy.x > -pad && xy.x < W + pad && xy.y > -pad && xy.y < H + pad) { counter++; dots.push([xy.x, xy.y, a2]); if (dots[dots.length - 2][3] === -1) { dots[dots.length - 1][3] = 1; } } else { dots[dots.length - 1][3] = -1; } if (α0 > 2 * π) { α0 = 0; if (!counter) { break; } counter = 0; } if (test > 1e6) { break; } } return dots; }30:[] 2c:{"id":"8a8172d3e9f00465","slug":null,"title":"Spiral","thumbnail":"f818d80aeb8e08fdfa95f81eb383e9bb2f1de3035aadec78eab2b7c572cf5691","access_level":"public","create_time":"$D2022-04-11T04:07:19.677Z","update_time":"$D2025-05-26T11:56:49.418Z","view_time":null,"first_public_time":"$D2023-08-08T23:54:13.872Z","fork":false,"stars":0,"starred":false,"owner":{"type":"team","id":"e3672025b6b6f436","login":"dmitrybaranovskiy","name":"Dmitry Baranovskiy","avatar_url":"https://avatars-next.observableusercontent.com/c31e7f084a49a6e09f7724ab70028e1f8a03923326f084b8f9e86a014705daf0","tier":"starter_2024"},"version":137,"publish_version":null,"role":null,"authored":false,"authors":[{"type":"individual","id":"230ca2847200ccc9","login":"dmitrybaranovskiy","name":"Dmitry Baranovskiy","avatar_url":"https://avatars-next.observableusercontent.com/c31e7f084a49a6e09f7724ab70028e1f8a03923326f084b8f9e86a014705daf0","tier":null}],"members":[{"type":"individual","id":"230ca2847200ccc9","login":"dmitrybaranovskiy","name":"Dmitry Baranovskiy","avatar_url":"https://avatars-next.observableusercontent.com/c31e7f084a49a6e09f7724ab70028e1f8a03923326f084b8f9e86a014705daf0","tier":null,"role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"subscribed":null,"forks":0,"collection":null,"type":"notebook","body":{"title":"Spiral","cells":[{"id":0,"value":"# Spiral","pinned":false,"hidden":false,"mode":"md"},{"id":9,"value":"viewof a = Inputs.range([6, 200], {\n value: 10,\n step: 1,\n label: \"Distance\"\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":32,"value":"viewof pad = Inputs.range([1, 50], {\n value: 10,\n step: 1,\n label: \"Padding\"\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":17,"value":"","pinned":false,"hidden":false,"mode":"html"},{"id":13,"value":"W = 600","pinned":false,"hidden":false,"mode":"ojs"},{"id":15,"value":"H = 400","pinned":false,"hidden":false,"mode":"ojs"},{"id":72,"value":"cx = W / 3","pinned":true,"hidden":false,"mode":"ojs"},{"id":75,"value":"cy = H / 2","pinned":true,"hidden":false,"mode":"ojs"},{"id":3,"value":"$2f","pinned":true,"hidden":false,"mode":"ojs"}],"files":"$W30","stdlib":"1","titling":"auto"}} 2d:"$2c:body"