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Last active January 27, 2016 23:50
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Dot Map + d3.js
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README.md

A framework for creating Dot Maps in d3.js using d3.geom.quadtree and Mitchell’s Best-Candidate (MBC) algorithm as its backbone. Here, I show the percentage of California residents who rent on a county basis.

The rendering speed is very slow due to the recursive MBC calls and small circle areas. However, it is worth the wait if all you are trying to do is download a map for a report.

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california.json
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Raw
index.html
<!DOCTYPE html>
<meta charset="utf-8">
<body>
<style type="text/css">
.county-border {
fill: none;
stroke: #34495e;
stroke-opacity: .35;
}
.land {
fill: #ecf0f1;
}
</style>
<script src="//d3js.org/d3.v3.min.js"></script>
<script src="//d3js.org/topojson.v1.min.js"></script>
<script src="http://d3js.org/queue.v1.min.js"></script>
<script>
var margin = { top: 20, right: 20, bottom: 20, left: 20 },
width = 900 - margin.left - margin.right,
height = 970 - margin.top - margin.bottom,
k = 1, m = 500, n = 500;
var maxRadius = 1.5, // maximum circle size
padding = 1, // Padding between circles
newCircle = bestCircleGenerator(maxRadius, padding);
var svg = d3.select("body").append("svg")
.attr("width", width + margin.left + margin.right)
.attr("height", height + margin.top + margin.bottom)
.append("g")
.attr("transform", "translate(" + margin.left + "," + margin.top + ")");
var path = d3.geo.path()
.projection(null);
queue()
.defer(d3.json, "california.json")
.await(ready);
function ready(error, ca){
svg.selectAll("path")
.data(topojson.feature(ca, ca.objects.county).features)
.enter().append("path")
.attr('class', 'land')
.attr("d", path)
.each(function(d,i){
// Generate a percentage
var goal = +d.properties.rent / (+d.properties.rent + +d.properties.own)
// Calculate the area of the geometry you wish to cover;
var a = path.area(d)*goal;
// Create the Dot Map
DotMap(d, a)
})
svg.append("path")
.datum(topojson.mesh(ca, ca.objects.county, function(a, b) { return a !== b; }))
.attr("class", "county-border")
.attr("d", path);
}
// https://gist.github.com/mbostock/1893974
function bestCircleGenerator(maxRadius, padding) {
var quadtree = d3.geom.quadtree().extent([[0, 0], [width, height]])([]),
searchRadius = maxRadius * 2;
return function(k, geometry) {
var bestX, bestY, bestDistance = 0,
pos = path.bounds(geometry),
w = pos[1][0] - pos[0][0],
h = pos[1][1] - pos[0][1];
for (var i = 0; i < k || bestDistance < padding; ++i) {
var x = Math.random() * w + pos[0][0],
y = Math.random() * h + pos[0][1],
rx1 = x - searchRadius,
rx2 = x + searchRadius,
ry1 = y - searchRadius,
ry2 = y + searchRadius,
minDistance = maxRadius; // minimum distance for this candidate
quadtree.visit(function(quad, x1, y1, x2, y2) {
if (p = quad.point) {
var p,
dx = x - p[0],
dy = y - p[1],
d2 = dx * dx + dy * dy,
r2 = p[2] * p[2];
if (d2 < r2) return minDistance = 0, true; // within a circle
var d = Math.sqrt(d2) - p[2];
if (d < minDistance) minDistance = d;
}
return !minDistance || x1 > rx2 || x2 < rx1 || y1 > ry2 || y2 < ry1 ; // or outside search radius
});
if (minDistance > bestDistance) bestX = x, bestY = y, bestDistance = minDistance;
}
var best = [bestX, bestY, bestDistance - padding];
// Return the circle if it intersects our geometry
if (pointInGeometry([bestX, bestY], geometry)){
quadtree.add(best);
return best;
} else{
return []
}
};
}
// http://bl.ocks.org/mbostock/4218871
function pointInGeometry(point, poly) {
if (poly.geometry.type == 'MultiPolygon'){
var cor = poly.geometry.coordinates;
for (var sub = 0; sub < cor.length; sub++) {
var subcor = cor[sub][0]
for (var n = subcor.length, i = 0, j = n - 1, x = point[0], y = point[1], inside = false; i < n; j = i++) {
var xi = subcor[i][0], yi = subcor[i][1],
xj = subcor[j][0], yj = subcor[j][1];
if ((yi > y ^ yj > y) && (x < (xj - xi) * (y - yi) / (yj - yi) + xi)) inside = !inside;
}
};
return inside;
} else {
var cor = poly.geometry.coordinates[0];
for (var n = cor.length, i = 0, j = n - 1, x = point[0], y = point[1], inside = false; i < n; j = i++) {
var xi = cor[i][0], yi = cor[i][1],
xj = cor[j][0], yj = cor[j][1];
if ((yi > y ^ yj > y) && (x < (xj - xi) * (y - yi) / (yj - yi) + xi)) inside = !inside;
}
return inside;
}
}
// Goal is a percentage of the total geometry area
function DotMap(geometry, goal){
var area = 0, count = 0;
while (area < goal && count < 500){
var circle = newCircle(k, geometry);
if (circle[0]){
svg.append("circle")
.attr("cx", circle[0])
.attr("cy", circle[1])
.attr("r", 0)
.style("fill", '#e74c3c')
.attr("r", circle[2]);
area += circle[2]*circle[2]*Math.PI
}
if (k < 500) k *= 1.01, m *= .998;
count++
}
}
d3.select(self.frameElement).style("height", (height) + "px");
</script>
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