29:null 2a:["$","title",null,{"children":"Airocean - Attracteur de Lorentz | Pixflowave | Observable"}] 2f:T7d0,dual = { const svg = d3.create("svg") .attr("width", width) .attr("height", height) .attr("viewBox", [0, 0, width, height]); yield svg.node(); // Ajout de la carte const mapGroup = svg.append("g").attr("id", "map"); // Dessinez la carte ici en utilisant le code de la carte const l = clip(d3.geoProject(land, projection)); const triangles = mapGroup .selectAll("g") .data(cutter) .join("g") .datum(d => ({ type: "Polygon", coordinates: [d] })); triangles .append("path") .attr("d", d3.geoPath()) .attr("stroke", "black") .attr("fill", "none"); let stop = false; invalidation.then(() => (stop = true)); for (const tri of triangles) { if (stop) return; const t = d3.select(tri); t.select("path") .attr("fill", "rgba(42,42,42, 0.1)") .attr("stroke", null); t.append("path") .datum(l) .attr("d", d3.geoPath()) .attr("fill", "rgba(42,42,42, 0.2)") .attr("stroke", "grey"); await Promises.delay(20); } // Ajout de l'attracteur étrange const attractorGroup = svg.append("g").attr("id", "attractor"); var vmin = extrema[1][0]; var vmax = extrema[1][1]; var vrange = vmax - vmin; if ((extrema[2][1] - extrema[2][0]) > vrange) { vmin = extrema[2][0]; vmax = extrema[2][1]; vrange = vmax - vmin; } if ((extrema[3][1] - extrema[3][0]) > vrange) { vmin = extrema[3][0]; vmax = extrema[3][1]; vrange = vmax - vmin; } var dataline = d3.line() .x(function(d, i) { return ((xfpt(d)[0] - vmin) / vrange * width); }) .y(function(d) { return ((xfpt(d)[1] - 2 * vmin) / vrange * height); }); attractorGroup.append("path") .attr("d", dataline(ntuple)) .style("fill", "none") .style("stroke", fg_color) .style("stroke-width", 1); attractorGroup.append("circle") .attr("cx", (xfpt(ntuple[ntuple.length - 1])[0] - vmin) / vrange * width) .attr("cy", (xfpt(ntuple[ntuple.length - 1])[1] - 2 * vmin) / vrange * height) .attr("r", 5) .attr("fill", "#797979"); // Retourne le SVG combiné //return svg.node(); } 30:T5b3,ntuple={ var rk4sum; var t0=1000. var txyz=[[t0,0,.1,3],] for(var i=1;i`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":20,"value":"viewof beta=html``","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":24,"value":"viewof rho=html``","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":26,"value":"viewof sigma=html``","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":28,"value":"viewof h=html``","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":30,"value":"viewof npts=html``","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":641,"value":"import {structure, cutter, height, land} from \"@fil/triangular-tiling-of-icosahedron\"","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":677,"value":"projection = d3\n .geoIcosahedral()\n .faceProjection(face => {\n // center the face\n var c = face.site.map(d => -d);\n // rotate it to put its apex \"up\" not \"down\"\n c[2] = Math.abs(c[1] - 52.62) < 1 || Math.abs(c[1] + 10.81) < 1 ? 60 : 0;\n return d3\n .geoProjection(d3.geoGrayFullerRaw())\n .rotate(c)\n .translate([0, 0]);\n })\n .rotate(d3.geoAirocean().rotate())\n .fitExtent([[1, 1], [width - 1, height - 1]], { type: \"Sphere\" })","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":48,"value":"f=function(i,t,x,y,z){\n \tswitch(i){\n case 1:\n return sigma*(y-x)\n break;\n case 2:\n return (-x*z+rho*x-y)\n break;\n case 3:\n return (x*y-beta*z)\n break;\n }\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":34,"value":"$30","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":77,"value":"extrema={\n\tvar ext=[[null,null],[null,null],[null,null],[null,null]]\n for(var i=1;iext[idx][1])ext[idx][1]=ntuple[i][idx];\n }\n }\n }\n return ext\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":10,"value":"d3 = require(\"https://d3js.org/d3.v5.min.js\",\"d3@6\", \"d3-geo-projection@2\", \"d3-geo-polygon@1.9\")","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":180,"value":"viewof fg_color=html``","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":182,"value":"viewof bg_color=html``","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":301,"value":"init={\n\tvar event = document.createEvent('Event');\n \tevent.initEvent('input', true, true);\n \td3.selectAll(\"#npts\").node().dispatchEvent(event);\n \treturn \"ok\"\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":349,"value":"md`## References`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":331,"value":"md`\\[0\\] [Wikipedia, Lorentz System](https://en.wikipedia.org/wiki/Lorenz_system)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":345,"value":"md`\\[1\\] [Arfken & Weber, Mathematical Methods for Physicists](\"https://www.amazon.com/Mathematical-Methods-Physicists-George-Arfken/dp/0120598760/ref=sr_1_2?ie=UTF8&qid=1518717297&sr=8-2&keywords=arfken\")`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":467,"value":"md`\\[2\\] [Abarbanel, Analysis of Observed Chaotic Data](https://www.amazon.com/Analysis-Observed-Chaotic-Institute-Nonlinear/dp/0387983724/ref=sr_1_13?ie=UTF8&qid=1518762483&sr=8-13&keywords=nonlinear+chaotic)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":533,"value":"md`\\[3\\] [AIP Article](https://publishing.aip.org/publishing/journal-highlights/taming-chaos-calculating-probability-complex-systems?Track=CHAOStweet)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":391,"value":"quat={\n\tvar transformPrecalc=[];\n\tvar cosB=Math.cos(rotZ);\n\tvar sinB=Math.sin(rotZ);\n\ttransformPrecalc[0]=cosB;\n\ttransformPrecalc[1]=0;\n\ttransformPrecalc[2]=sinB;\n\ttransformPrecalc[3]=0;\n\ttransformPrecalc[4]=1;\n\ttransformPrecalc[5]=0;\n\ttransformPrecalc[6]=-sinB;\n\ttransformPrecalc[7]=0;\n\ttransformPrecalc[8]=cosB;\n \treturn transformPrecalc;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":393,"value":"xfpt=function(point){\n\treturn [\n\t\tquat[0]*point[1]-quat[1]*point[3]+quat[2]*point[2],\n\t\tquat[3]*point[1]-quat[4]*point[3]+quat[5]*point[2],\n\t\tquat[6]*point[1]-quat[7]*point[3]+quat[8]*point[2]\n\t];\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":602,"value":"import { map, nsub} with {nsub as n} from \"@fil/triangular-tiling-of-icosahedron\"","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":635,"value":"import { clip } from \"a7fc92f18bc1365a\"","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":637,"value":"import { checkbox, slider } from \"@jashkenas/inputs\"","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W31","stdlib":"1","titling":"auto"}} 2e:"$2d:body"