2a:null 2b:["$","title",null,{"children":"Roses | Jacob Rus | Observable"}] 30:[] 2e:{"id":"cd5cfc01e695c0b1","slug":"roses","title":"Roses","thumbnail":"244a2cdff4a77bfad034877f2441767eb0c786f1a4d2228adad090db0211482b","access_level":"public","create_time":"$D2018-06-05T04:37:45.815Z","update_time":"$D2020-07-02T03:36:43.564Z","view_time":null,"first_public_time":"$D2018-06-05T05:40:45.049Z","fork":false,"stars":22,"starred":false,"owner":{"type":"team","id":"9b8a8e177a49059a","login":"jrus","name":"Jacob Rus","avatar_url":"https://avatars-next.observableusercontent.com/c33dbeed76527c50e64208b0e005e0b6e54a3bef2a14ea6a823f1c7de4867662","tier":"starter_2024"},"version":442,"publish_version":442,"role":null,"authored":false,"authors":[{"type":"individual","id":"ddd7235babc79ce0","login":"jrus","name":"Jacob Rus","avatar_url":"https://avatars-next.observableusercontent.com/c33dbeed76527c50e64208b0e005e0b6e54a3bef2a14ea6a823f1c7de4867662","tier":null}],"members":[{"type":"individual","id":"ddd7235babc79ce0","login":"jrus","name":"Jacob Rus","avatar_url":"https://avatars-next.observableusercontent.com/c33dbeed76527c50e64208b0e005e0b6e54a3bef2a14ea6a823f1c7de4867662","tier":null,"role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"subscribed":null,"forks":5,"collection":null,"type":"notebook","body":{"title":"Roses","cells":[{"id":0,"value":"Title = md`# Roses`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":229,"value":"md`A [rose](https://en.wikipedia.org/wiki/Rose_%28mathematics%29) is a sinusoid plotted in polar coordinates: ${tex`\nr(\\theta) = \\cos \\dfrac{n\\theta}{d}\n`}\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":16,"value":"viewof ncols = html`\n `","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":14,"value":"viewof nrows = html`\n `","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":8,"value":"multi_plot = html`\n`","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":307,"value":"viewof numerator = html`\n `","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":309,"value":"viewof denominator = html`\n `","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":304,"value":"single_plot = html`\n`","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":22,"value":"rose = (n, d) =>\n t => [Math.cos(n/d*t)*Math.cos(t), Math.cos(n/d*t)*Math.sin(t)]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":77,"value":"bezrose = (n, d) =>\n bezpts_to_svgpath(bezeval(rose(n, d), period(n, d), [-2, 2, -2, 2], tolerance), 5).replace(/\\n/g,'')","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":71,"value":"transform = (i, j) =>\n `translate(-${scale/2} -${scale/2}) scale(${scale}) translate(${i} ${j}) scale(0.45 -0.45)`","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":271,"value":"period = (n, d) =>\n [0, (2 - n%2 * d%2) * d / gcd(n, d) * Math.PI]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":372,"value":"gcd = (a, b) => {\n while (b != 0) [a, b] = [b, a % b];\n return a; }","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":278,"value":"tolerance = 0.0001","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":85,"value":"rows = [...Array(nrows+1).keys()].slice(1)","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":87,"value":"cols = [...Array(ncols+1).keys()].slice(1)","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":35,"value":"scale = width / ncols","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":41,"value":"height = scale * nrows","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":2,"value":"import {bezeval, bezpts_to_svgpath} from \"@jrus/bezplot\"","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"}],"files":"$W30","stdlib":"1","titling":"auto"}} 2f:"$2e:body"