This is not a true Demers cartogram; it lacks links between adjacent features. Instead of trying to preserve connectedness, this pseudo-cartogram tries to preserve locality, putting each square as close as possible to its origin without overlapping.
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Pseudo-Demers Cartogram
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| license: gpl-3.0 |
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| <!DOCTYPE html> | |
| <meta charset="utf-8"> | |
| <title>Demers Cartogram</title> | |
| <style> | |
| rect { | |
| fill: #eee; | |
| stroke: #000; | |
| stroke-width: 1.5px; | |
| } | |
| </style> | |
| <svg width="960" height="500"></svg> | |
| <script src="https://d3js.org/d3.v4.min.js"></script> | |
| <script> | |
| // Ratio of Obese (BMI >= 30) in U.S. Adults, CDC 2008 | |
| var valueById = [ | |
| NaN, 0.187, 0.198, NaN, 0.133, 0.175, 0.151, NaN, 0.100, 0.125, | |
| 0.171, NaN, 0.172, 0.133, NaN, 0.108, 0.142, 0.167, 0.201, 0.175, | |
| 0.159, 0.169, 0.177, 0.141, 0.163, 0.117, 0.182, 0.153, 0.195, 0.189, | |
| 0.134, 0.163, 0.133, 0.151, 0.145, 0.130, 0.139, 0.169, 0.164, 0.175, | |
| 0.135, 0.152, 0.169, NaN, 0.132, 0.167, 0.139, 0.184, 0.159, 0.140, | |
| 0.146, 0.157, NaN, 0.139, 0.183, 0.160, 0.143 | |
| ]; | |
| var svg = d3.select("svg"), | |
| margin = {top: 0, right: 0, bottom: 0, left: 0}, | |
| width = svg.attr("width") - margin.left - margin.right, | |
| height = svg.attr("height") - margin.top - margin.bottom, | |
| padding = 3; | |
| var projection = d3.geoAlbersUsa(); | |
| var radius = d3.scaleSqrt() | |
| .domain([0, d3.max(valueById)]) | |
| .range([0, 30]); | |
| d3.json("us-state-centroids.json", function(error, states) { | |
| if (error) throw error; | |
| var nodes = states.features | |
| .filter(function(d) { return !isNaN(valueById[+d.id]); }) | |
| .map(function(d) { | |
| var point = projection(d.geometry.coordinates), | |
| value = valueById[+d.id]; | |
| if (isNaN(value)) fail(); | |
| return { | |
| x: point[0], y: point[1], | |
| x0: point[0], y0: point[1], | |
| r: radius(value), | |
| value: value | |
| }; | |
| }); | |
| var simulation = d3.forceSimulation() | |
| .force("x", d3.forceX(function(d) { return d.x0; })) | |
| .force("y", d3.forceY(function(d) { return d.y0; })) | |
| .force("collide", collide) | |
| .nodes(nodes) | |
| .on("tick", tick); | |
| var node = svg.selectAll("rect") | |
| .data(nodes) | |
| .enter().append("rect") | |
| .attr("width", function(d) { return d.r * 2; }) | |
| .attr("height", function(d) { return d.r * 2; }); | |
| function tick(e) { | |
| node.attr("x", function(d) { return d.x - d.r; }) | |
| .attr("y", function(d) { return d.y - d.r; }); | |
| } | |
| function collide() { | |
| for (var k = 0, iterations = 4, strength = 0.5; k < iterations; ++k) { | |
| for (var i = 0, n = nodes.length; i < n; ++i) { | |
| for (var a = nodes[i], j = i + 1; j < n; ++j) { | |
| var b = nodes[j], | |
| x = a.x + a.vx - b.x - b.vx, | |
| y = a.y + a.vy - b.y - b.vy, | |
| lx = Math.abs(x), | |
| ly = Math.abs(y), | |
| r = a.r + b.r + padding; | |
| if (lx < r && ly < r) { | |
| if (lx > ly) { | |
| lx = (lx - r) * (x < 0 ? -strength : strength); | |
| a.vx -= lx, b.vx += lx; | |
| } else { | |
| ly = (ly - r) * (y < 0 ? -strength : strength); | |
| a.vy -= ly, b.vy += ly; | |
| } | |
| } | |
| } | |
| } | |
| } | |
| } | |
| }); | |
| </script> |
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| {"type":"FeatureCollection","features":[ | |
| {"type":"Feature","id":"01","geometry":{"type":"Point","coordinates":[-86.766233,33.001471]},"properties":{"name":"Alabama","population":4447100}}, | |
| {"type":"Feature","id":"02","geometry":{"type":"Point","coordinates":[-148.716968,61.288254]},"properties":{"name":"Alaska","population":626932}}, | |
| {"type":"Feature","id":"04","geometry":{"type":"Point","coordinates":[-111.828711,33.373506]},"properties":{"name":"Arizona","population":5130632}}, | |
| {"type":"Feature","id":"05","geometry":{"type":"Point","coordinates":[-92.576816,35.080251]},"properties":{"name":"Arkansas","population":2673400}}, | |
| {"type":"Feature","id":"06","geometry":{"type":"Point","coordinates":[-119.355165,35.458606]},"properties":{"name":"California","population":33871648}}, | |
| {"type":"Feature","id":"08","geometry":{"type":"Point","coordinates":[-105.203628,39.500656]},"properties":{"name":"Colorado","population":4301261}}, | |
| {"type":"Feature","id":"09","geometry":{"type":"Point","coordinates":[-72.874365,41.494852]},"properties":{"name":"Connecticut","population":3405565}}, | |
| {"type":"Feature","id":"10","geometry":{"type":"Point","coordinates":[-75.561908,39.397164]},"properties":{"name":"Delaware","population":783600}}, | |
| {"type":"Feature","id":"11","geometry":{"type":"Point","coordinates":[-77.014001,38.910092]},"properties":{"name":"District of Columbia","population":572059}}, | |
| {"type":"Feature","id":"12","geometry":{"type":"Point","coordinates":[-81.634622,27.795850]},"properties":{"name":"Florida","population":15982378}}, | |
| {"type":"Feature","id":"13","geometry":{"type":"Point","coordinates":[-83.868887,33.332208]},"properties":{"name":"Georgia","population":8186453}}, | |
| {"type":"Feature","id":"15","geometry":{"type":"Point","coordinates":[-157.524452,21.146768]},"properties":{"name":"Hawaii","population":1211537}}, | |
| {"type":"Feature","id":"16","geometry":{"type":"Point","coordinates":[-115.133222,44.242605]},"properties":{"name":"Idaho","population":1293953}}, | |
| {"type":"Feature","id":"17","geometry":{"type":"Point","coordinates":[-88.380238,41.278216]},"properties":{"name":"Illinois","population":12419293}}, | |
| {"type":"Feature","id":"18","geometry":{"type":"Point","coordinates":[-86.261515,40.163935]},"properties":{"name":"Indiana","population":6080485}}, | |
| {"type":"Feature","id":"19","geometry":{"type":"Point","coordinates":[-93.049161,41.960392]},"properties":{"name":"Iowa","population":2926324}}, | |
| {"type":"Feature","id":"20","geometry":{"type":"Point","coordinates":[-96.536052,38.454303]},"properties":{"name":"Kansas","population":2688418}}, | |
| {"type":"Feature","id":"21","geometry":{"type":"Point","coordinates":[-85.241819,37.808159]},"properties":{"name":"Kentucky","population":4041769}}, | |
| {"type":"Feature","id":"22","geometry":{"type":"Point","coordinates":[-91.457133,30.699270]},"properties":{"name":"Louisiana","population":4468976}}, | |
| {"type":"Feature","id":"23","geometry":{"type":"Point","coordinates":[-69.719931,44.313614]},"properties":{"name":"Maine","population":1274923}}, | |
| {"type":"Feature","id":"24","geometry":{"type":"Point","coordinates":[-76.797396,39.145653]},"properties":{"name":"Maryland","population":5296486}}, | |
| {"type":"Feature","id":"25","geometry":{"type":"Point","coordinates":[-71.363628,42.271831]},"properties":{"name":"Massachusetts","population":6349097}}, | |
| {"type":"Feature","id":"26","geometry":{"type":"Point","coordinates":[-84.170753,42.866412]},"properties":{"name":"Michigan","population":9938444}}, | |
| {"type":"Feature","id":"27","geometry":{"type":"Point","coordinates":[-93.583003,45.210782]},"properties":{"name":"Minnesota","population":4919479}}, | |
| {"type":"Feature","id":"28","geometry":{"type":"Point","coordinates":[-89.593164,32.566420]},"properties":{"name":"Mississippi","population":2844658}}, | |
| {"type":"Feature","id":"29","geometry":{"type":"Point","coordinates":[-92.153770,38.437715]},"properties":{"name":"Missouri","population":5595211}}, | |
| {"type":"Feature","id":"30","geometry":{"type":"Point","coordinates":[-111.209708,46.813302]},"properties":{"name":"Montana","population":902195}}, | |
| {"type":"Feature","id":"31","geometry":{"type":"Point","coordinates":[-97.403875,41.183753]},"properties":{"name":"Nebraska","population":1711263}}, | |
| {"type":"Feature","id":"32","geometry":{"type":"Point","coordinates":[-116.304648,37.165965]},"properties":{"name":"Nevada","population":1998257}}, | |
| {"type":"Feature","id":"33","geometry":{"type":"Point","coordinates":[-71.463342,43.153046]},"properties":{"name":"New Hampshire","population":1235786}}, | |
| {"type":"Feature","id":"34","geometry":{"type":"Point","coordinates":[-74.428055,40.438458]},"properties":{"name":"New Jersey","population":8414350}}, | |
| {"type":"Feature","id":"35","geometry":{"type":"Point","coordinates":[-106.342108,34.623012]},"properties":{"name":"New Mexico","population":1819046}}, | |
| {"type":"Feature","id":"36","geometry":{"type":"Point","coordinates":[-74.645228,41.507548]},"properties":{"name":"New York","population":18976457}}, | |
| {"type":"Feature","id":"37","geometry":{"type":"Point","coordinates":[-79.667654,35.553334]},"properties":{"name":"North Carolina","population":8049313}}, | |
| {"type":"Feature","id":"38","geometry":{"type":"Point","coordinates":[-99.334736,47.375168]},"properties":{"name":"North Dakota","population":642200}}, | |
| {"type":"Feature","id":"39","geometry":{"type":"Point","coordinates":[-82.749366,40.480854]},"properties":{"name":"Ohio","population":11353140}}, | |
| {"type":"Feature","id":"40","geometry":{"type":"Point","coordinates":[-96.834653,35.597940]},"properties":{"name":"Oklahoma","population":3450654}}, | |
| {"type":"Feature","id":"41","geometry":{"type":"Point","coordinates":[-122.579524,44.732273]},"properties":{"name":"Oregon","population":3421399}}, | |
| {"type":"Feature","id":"42","geometry":{"type":"Point","coordinates":[-77.075925,40.463528]},"properties":{"name":"Pennsylvania","population":12281054}}, | |
| {"type":"Feature","id":"44","geometry":{"type":"Point","coordinates":[-71.448902,41.753318]},"properties":{"name":"Rhode Island","population":1048319}}, | |
| {"type":"Feature","id":"45","geometry":{"type":"Point","coordinates":[-81.032387,34.034551]},"properties":{"name":"South Carolina","population":4012012}}, | |
| {"type":"Feature","id":"46","geometry":{"type":"Point","coordinates":[-99.043799,44.047502]},"properties":{"name":"South Dakota","population":754844}}, | |
| {"type":"Feature","id":"47","geometry":{"type":"Point","coordinates":[-86.397772,35.795862]},"properties":{"name":"Tennessee","population":5689283}}, | |
| {"type":"Feature","id":"48","geometry":{"type":"Point","coordinates":[-97.388631,30.943149]},"properties":{"name":"Texas","population":20851820}}, | |
| {"type":"Feature","id":"49","geometry":{"type":"Point","coordinates":[-111.900160,40.438987]},"properties":{"name":"Utah","population":2233169}}, | |
| {"type":"Feature","id":"50","geometry":{"type":"Point","coordinates":[-72.814309,44.081127]},"properties":{"name":"Vermont","population":608827}}, | |
| {"type":"Feature","id":"51","geometry":{"type":"Point","coordinates":[-77.835857,37.750345]},"properties":{"name":"Virginia","population":7078515}}, | |
| {"type":"Feature","id":"53","geometry":{"type":"Point","coordinates":[-121.624501,47.341728]},"properties":{"name":"Washington","population":5894121}}, | |
| {"type":"Feature","id":"54","geometry":{"type":"Point","coordinates":[-80.820221,38.767195]},"properties":{"name":"West Virginia","population":1808344}}, | |
| {"type":"Feature","id":"55","geometry":{"type":"Point","coordinates":[-89.001006,43.728544]},"properties":{"name":"Wisconsin","population":5363675}}, | |
| {"type":"Feature","id":"56","geometry":{"type":"Point","coordinates":[-107.008835,42.675762]},"properties":{"name":"Wyoming","population":493782}}, | |
| {"type":"Feature","id":"72","geometry":{"type":"Point","coordinates":[-66.58765,18.19958]},"properties":{"code":"PR","name":"Puerto Rico","population":3808610}} | |
| ]} |
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