Fractal Pie Chart

Finally after having sketched out this visualization idea in notebooks for years, it has come into reality. This example highlights the utility of d3-component for recursive visualization components.

The idea here is to extend the notion of a pie chart to represent hierarchical data. Each slice gets expanded into a "sub-pie" whose area is equal to the area of the slice. The sub-pie slices get broken out recursively.

Have some fun and play with it on Blockbuilder!

<!DOCTYPE html>
<head>
  <meta charset="utf-8">
  <script src="https://unpkg.com/d3@4"></script>
  <script src="https://unpkg.com/d3-component@3"></script>
</head>
<body style="margin: 0">
  <svg width="960" height="500"></svg>
  <script>
    const svg = d3.select("svg");
    const width = +svg.attr("width");
    const height = +svg.attr("height");
    const pie = d3.pie().value(d => d.value);
    const arc = d3.arc().innerRadius(0);

const slice = d3.component("path")
      .render((selection, d) => {
        selection
          .attr("d", arc(d))
          .attr("fill", "#f4f4f4")
          .attr("stroke", "#707070")
          .attr("stroke-width", 1)
          .attr("stroke-linejoin", "round");
      });

const connector = d3.component("line")
      .render((selection, {parentRadius, stemDistance, radius}) => {
        if(parentRadius !== 0){
          selection
              .attr("x1", -radius)
              .attr("y1", 0)
              .attr("x2", -(stemDistance - parentRadius))
              .attr("y2", 0)
              .attr("stroke", "#a0a0a0");
        }
      });

const fractal = d3.component("g")
      .render((selection, d) => {
        const {
          radius,
          parentRadius,
          angle,
          children,
          stemSize,
          stemWeight,
          rotateChildren
        } = d;

const slices = pie(children);
        arc.outerRadius(radius);
        
        
        //const translate = (parentRadius + radius)/2 * stem;
        //const translate = radius * stem;
        const base = parentRadius + radius;
        const stemDistance = base + (
          (parentRadius * stemWeight + radius * (1 - stemWeight)) / 2
        ) * stemSize;
        const degrees = angle / Math.PI * 180;
        
        const fractals = slices
          .filter(d => d.data.children)
          .map(d => {

const parentRadius = radius;
            const parentSliceFraction = (d.endAngle - d.startAngle) / (2*Math.PI);
            const parentTotalArea =  Math.PI * radius * radius;
            const parentSliceArea = parentTotalArea * parentSliceFraction;
            const childRadius = Math.sqrt(parentSliceArea / Math.PI);

return Object.assign({}, d.data, {
              radius: childRadius,
              parentRadius: radius,
              angle: (d.startAngle + d.endAngle) / 2 - Math.PI/2,
              stemSize,
              stemWeight,
              rotateChildren
            });
          });
        
        selection
            .attr("transform", `rotate(${degrees}) translate(${stemDistance})`)
            .call(connector, d, {stemDistance, rotateChildren, degrees})
            .call(slice, slices)
            .call(fractal, fractals);
      });

d3.select("svg").append("g")
        .attr("transform", "translate(313, 224)")
        .call(fractal, data, {
          radius: 53,
          parentRadius: 0,
          angle: 0,
          stemSize: 3.2,
      
       		// 1 = weighted by parent radius,
      		// 0 = weighted by child radius
      		stemWeight: 1.007155150848
        });

</script>
</body>

https://unpkg.com/d3@4

https://unpkg.com/d3-component@3