Phyllotaxis

Based on Jason Davies’ earlier Sunflower Phyllotaxis.

<!DOCTYPE html>
<meta charset="utf-8">
<style>

body {
  background: #333;
}

</style>
<body>
<script src="//d3js.org/d3.v4.0.0-alpha.29.min.js"></script>
<script>

var width = 960,
    height = 500,
    radius = Math.sqrt(width / 2 * width / 2 + height / 2 * height / 2) + 5;

var theta = Math.PI * (3 - Math.sqrt(5)),
    spacing = 4,
    size = spacing + 4,
    speed = 1,
    index = 0,
    total = (radius * radius) / (spacing * spacing);

var color = d3.scaleQuantize()
    .range (["#fde0dd","#fa9fb5","#c51b8a"])
    .domain([0, 360]);

/*
var color = d3.scaleLinear()
    .range (["red", "blue", "orange", "red"])
    .domain([0, 120, 240, 360])
    .interpolate(d3.interpolateLab);
*/
var canvas = d3.select("body").append("canvas")
    .attr("width", radius * 2)
    .attr("height", radius * 2)
    .style("position", "absolute")
    .style("left", width / 2 - radius + "px")
    .style("top", height / 2 - radius + "px")
    .style("transform-origin", radius + "px " + radius + "px");

var context = canvas.node().getContext("2d");

context.globalAlpha = 0.1;

context.translate(radius, radius);

d3.timer(function() {
  canvas.style("transform", "rotate(" + -speed / 2 + "deg)");

for (var j = 0; index < total && j < speed; ++j) {
    var radius = spacing * Math.sqrt(++index),
        angle = index * theta,
        x = radius * Math.cos(angle),
        y = radius * Math.sin(angle);

context.beginPath();
    context.arc(x, y, size, 0, 2 * Math.PI);
    context.stroke();
    context.fillStyle = color((angle * 180 / Math.PI - radius)%360);
    context.fill();
  }

speed += .1;
});

</script>

https://d3js.org/d3.v4.0.0-alpha.29.min.js