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| license: mit |
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| <!DOCTYPE html> | |
| <head> | |
| <meta charset="utf-8"> | |
| <script src="https://d3js.org/d3.v4.min.js"></script> | |
| </head> | |
| <body> | |
| <div style="width:960px;"> | |
| <div class="chart"></div> | |
| <p style='text-align: right;margin-right:40px'>Cool source: <a href='https://www.youtube.com/watch?v=pAMgUB51XZA'>Numberphile</a>, <a href='https://oeis.org/A133058'>https://oeis.org/A133058</a></p> | |
| </div> | |
| <script> | |
| const getGreatestCommonDenomOf = (x, y) => { | |
| if ((typeof x !== 'number') || (typeof y !== 'number')) return false | |
| x = Math.abs(x) | |
| y = Math.abs(y) | |
| while (y) { | |
| var t = y | |
| y = x % y; | |
| x = t | |
| } | |
| return x | |
| } | |
| let sequence = [] | |
| sequence.push({ n: 0, a: 1 }) | |
| sequence.push({ n: 1, a: 1 }) | |
| for (let i = 2; i <= 850; i++) { | |
| s = {} | |
| s.n = i | |
| let gcd = getGreatestCommonDenomOf(s.n, sequence[i - 1].a) | |
| if (gcd > 1) s.a = sequence[i - 1].a / gcd | |
| else s.a = sequence[i - 1].a + i + 1; | |
| sequence.push(s) | |
| } | |
| let svgWidth = 960; | |
| let svgHeight = 425; | |
| const margin = { top: 50, right: 50, bottom: 50, left: 50 }; | |
| let chartWidth = svgWidth - margin.right - margin.left; | |
| let chartHeight = svgHeight - margin.top - margin.bottom; | |
| let svg = d3.select(".chart") | |
| .append("svg") | |
| .attr("width", svgWidth) | |
| .attr("height", svgHeight) | |
| .append("g") | |
| .attr("transform", `translate(${margin.left},${margin.top})`) | |
| let chart = svg.append("g"); | |
| let yLinearScale = d3.scaleLinear() | |
| .range([chartHeight, 0]) | |
| .domain([0, d3.max(sequence, d => +d.a)]) | |
| let xLinearScale = d3.scaleLinear() | |
| .range([0, chartWidth]) | |
| .domain([0, d3.max(sequence, d => +d.n)]); | |
| let bottomAxis = d3.axisBottom() | |
| .scale(xLinearScale); | |
| let leftAxis = d3.axisLeft() | |
| .scale(yLinearScale); | |
| nodeEnter = chart | |
| .selectAll("circle") | |
| .data(sequence) | |
| .enter(); | |
| nodeEnter | |
| .append("circle") | |
| .attr("fill", "#000") | |
| .attr("r", 2) | |
| .attr("cy", (d, i) => yLinearScale(d3.max(sequence, d => +d.a))) | |
| .attr("cx", (d, i) => xLinearScale(d3.max(sequence, d => +d.n))) | |
| .transition() | |
| .delay((d, i) => { return i * 10 }) | |
| .attr("cy", (d, i) => yLinearScale(d.a)) | |
| .attr("cx", (d, i) => xLinearScale(d.n)) | |
| chart.append("g") | |
| .attr('transform', `translate(0,${chartHeight})`) | |
| .call(bottomAxis) | |
| chart.append("g") | |
| .call(leftAxis) | |
| </script> | |
| </body> | |
| <!-- https://blockbuilder.org/FergusDevelopmentLLC/9c89649fded9f8eaa40b006f352143c9 --> | |
| <!-- https://bl.ocks.org/FergusDevelopmentLLC/9c89649fded9f8eaa40b006f352143c9 --> |
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