Briesemeister projection

Jacques Bertin mentions Briesemeister projection in "Semiology of graphics" as one of a few projections which give good general representations of the world. Most of the deformations are in the oceans and the continents are grouped closely together. It is thoroughly described in the book "Flattening the Earth: Two Thousand Years of Map Projections" by John P. Snyder (page 239).

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

.background {
  fill: #a4bac7;
}

.foreground {
  fill: none;
  stroke: #333;
  stroke-width: 1.5px;
}

.graticule {
  fill: none;
  stroke: #fff;
  stroke-width: .5px;
}

.graticule:nth-child(2n) {
  stroke-dasharray: 2,2;
}

.land {
  fill: #d7c7ad;
  stroke: #766951;
}

.boundary {
  fill: none;
  stroke: #a5967e;
}

</style>
<body>
<script src="https://d3js.org/d3.v3.min.js"></script>
<script src="https://d3js.org/d3.geo.projection.v0.min.js"></script>
<script src="https://d3js.org/topojson.v0.min.js"></script>
<script>

var width = 960,
    height = 500;

// "Flattening the Earth: Two Thousand Years of Map Projections"
// By John P. Snyder page 240
// https://bit.ly/Uaq6O1

var briesemeister = (function() {
  var R = 1; 
  var q = Math.sqrt(1.75);
  return function(λ, φ) {
    var D = 2/(1 + Math.cos(φ) * Math.cos(λ/2));
    var x = R * Math.sqrt(3.5 * D) * Math.cos(φ) * Math.sin(λ/2);
    var y = R * Math.sqrt(2 * D) * Math.sin(φ) / q;
    return [x, y];
  }
})();

// var briesemeister = (function() {
//   var R = 1; 
//   var q = Math.sqrt(1.75);
//   return function(λ, φ) {
//     var c = d3.geo.hammer.raw(λ, φ);
//     c[0] /= q;
//     return c;
//   }
// })();

briesemeister.invert = function(x, y) {
  // TODO
  return d3.geo.hammer.raw.invert(x, y);
};

d3.geo.briesemeister = function() {
  return d3.geo.projection(briesemeister);
};

var projection = d3.geo.briesemeister()
    // .scale(1000)
    //.rotate([-15, 0])
    .rotate([-10, -45])
    //.parallels([29.5, 45.5])
    //.clipAngle(180 - 1e-3);

var path = d3.geo.path()
    .projection(projection);

var graticule = d3.geo.graticule();

var svg = d3.select("body").append("svg")
    .attr("width", width)
    .attr("height", height);

svg.append("path")
    .datum(graticule.outline)
    .attr("class", "background")
    .attr("d", path);

svg.selectAll(".graticule")
    .data(graticule.lines)
  .enter().append("path")
    .attr("class", "graticule")
    .attr("d", path);

svg.append("path")
    .datum(graticule.outline)
    .attr("class", "foreground")
    .attr("d", path);

d3.json("/d/4090846/world-110m.json", function(error, world) {
  svg.insert("path", ".graticule")
      .datum(topojson.object(world, world.objects.land))
      .attr("class", "land")
      .attr("d", path);

svg.insert("path", ".graticule")
      .datum(topojson.mesh(world, world.objects.countries, function(a, b) { return a.id !== b.id; }))
      .attr("class", "boundary")
      .attr("d", path);
});

</script>

Modified http://d3js.org/d3.v3.min.js to a secure url

Modified http://d3js.org/d3.geo.projection.v0.min.js to a secure url

Modified http://d3js.org/topojson.v0.min.js to a secure url

https://d3js.org/d3.v3.min.js

https://d3js.org/d3.geo.projection.v0.min.js

https://d3js.org/topojson.v0.min.js