We've all seen the projected head from Elements of map projection with applications to map and chart construction, but the authors in 1921 did not have D3 to help them show a full range of weird distorted faces. This is based on the Map Projection Transitions example by Jason Davies.
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June 1, 2018 20:05
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Projection face!
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| <!DOCTYPE html> | |
| <meta charset="utf-8"> | |
| <title>PROJECTION FACE</title> | |
| <style> | |
| body{ text-align: center } | |
| </style> | |
| <div id="map"></div> | |
| <select id="projection-menu"></select> | |
| <script src="http://d3js.org/d3.v3.min.js"></script> | |
| <script src="http://d3js.org/d3.geo.projection.v0.min.js"></script> | |
| <script src="http://d3js.org/d3.geo.polyhedron.v0.min.js"></script> | |
| <script> | |
| var ratio = window.devicePixelRatio || 1, | |
| width = 960 * ratio, | |
| height = 450 * ratio; | |
| var options = [ | |
| {name: "Aitoff", projection: d3.geo.aitoff()}, | |
| {name: "Albers", projection: d3.geo.albers().scale(145).parallels([20, 50])}, | |
| {name: "August", projection: d3.geo.august().scale(60)}, | |
| {name: "Baker", projection: d3.geo.baker().scale(100)}, | |
| {name: "Berghaus", projection: d3.geo.berghaus().scale(100)}, | |
| {name: "Boggs", projection: d3.geo.boggs()}, | |
| {name: "Bonne", projection: d3.geo.bonne().scale(100)}, | |
| {name: "Bromley", projection: d3.geo.bromley()}, | |
| {name: "Collignon", projection: d3.geo.collignon().scale(93)}, | |
| {name: "Craster Parabolic", projection: d3.geo.craster()}, | |
| {name: "Eckert I", projection: d3.geo.eckert1().scale(165)}, | |
| {name: "Eckert II", projection: d3.geo.eckert2().scale(165)}, | |
| {name: "Eckert III", projection: d3.geo.eckert3().scale(180)}, | |
| {name: "Eckert IV", projection: d3.geo.eckert4().scale(180)}, | |
| {name: "Eckert V", projection: d3.geo.eckert5().scale(170)}, | |
| {name: "Eckert VI", projection: d3.geo.eckert6().scale(170)}, | |
| {name: "Eisenlohr", projection: d3.geo.eisenlohr().scale(60)}, | |
| {name: "Equirectangular (Plate Carrée)", projection: d3.geo.equirectangular()}, | |
| {name: "Fahey", projection: d3.geo.fahey().scale(120)}, | |
| {name: "Gall Stereographic", projection: d3.geo.cylindricalStereographic().parallel(45).scale(140)}, | |
| {name: "Goode Homolosine", projection: d3.geo.homolosine()}, | |
| {name: "Ginzburg IV", projection: d3.geo.ginzburg4().scale(120)}, | |
| {name: "Ginzburg V", projection: d3.geo.ginzburg5().scale(120)}, | |
| {name: "Ginzburg VI", projection: d3.geo.ginzburg6().scale(120)}, | |
| {name: "Ginzburg VIII", projection: d3.geo.ginzburg8().scale(120)}, | |
| {name: "Ginzburg IX", projection: d3.geo.ginzburg9().scale(120)}, | |
| {name: "Gringorten", projection: d3.geo.gringorten().scale(220)}, | |
| {name: "Guyou", projection: d3.geo.guyou().scale(150)}, | |
| {name: "Hammer", projection: d3.geo.hammer().scale(165)}, | |
| {name: "Hammer Retroazimuthal", projection: d3.geo.hammerRetroazimuthal().scale(90)}, | |
| {name: "HEALPix", projection: d3.geo.healpix()}, | |
| {name: "Hill", projection: d3.geo.hill().scale(120)}, | |
| {name: "Kavrayskiy VII", projection: d3.geo.kavrayskiy7()}, | |
| {name: "Lagrange", projection: d3.geo.lagrange().scale(120)}, | |
| {name: "Lambert cylindrical equal-area", projection: d3.geo.cylindricalEqualArea()}, | |
| {name: "Larrivée", projection: d3.geo.larrivee().scale(95)}, | |
| {name: "Laskowski", projection: d3.geo.laskowski().scale(120)}, | |
| {name: "Loximuthal", projection: d3.geo.loximuthal()}, | |
| {name: "Mercator", projection: d3.geo.mercator().scale(100)}, | |
| {name: "Miller", projection: d3.geo.miller().scale(100)}, | |
| {name: "McBryde–Thomas Flat-Polar Parabolic", projection: d3.geo.mtFlatPolarParabolic()}, | |
| {name: "McBryde–Thomas Flat-Polar Quartic", projection: d3.geo.mtFlatPolarQuartic()}, | |
| {name: "McBryde–Thomas Flat-Polar Sinusoidal", projection: d3.geo.mtFlatPolarSinusoidal()}, | |
| {name: "Mollweide", projection: d3.geo.mollweide().scale(165)}, | |
| {name: "Natural Earth", projection: d3.geo.naturalEarth()}, | |
| {name: "Nell–Hammer", projection: d3.geo.nellHammer()}, | |
| {name: "Orthographic", projection: d3.geo.orthographic().scale(200)}, | |
| {name: "Polyconic", projection: d3.geo.polyconic().scale(100)}, | |
| {name: "Rectangular Polyconic", projection: d3.geo.rectangularPolyconic().scale(120)}, | |
| {name: "Robinson", projection: d3.geo.robinson()}, | |
| {name: "Sinusoidal", projection: d3.geo.sinusoidal()}, | |
| {name: "Sinu-Mollweide", projection: d3.geo.sinuMollweide()}, | |
| {name: "Stereographic", projection: d3.geo.stereographic()}, | |
| {name: "Times", projection: d3.geo.times().scale(140)}, | |
| {name: "Van der Grinten", projection: d3.geo.vanDerGrinten().scale(75)}, | |
| {name: "Van der Grinten II", projection: d3.geo.vanDerGrinten2().scale(75)}, | |
| {name: "Van der Grinten III", projection: d3.geo.vanDerGrinten3().scale(75)}, | |
| {name: "Van der Grinten IV", projection: d3.geo.vanDerGrinten4().scale(120)}, | |
| {name: "Wagner IV", projection: d3.geo.wagner4()}, | |
| {name: "Wagner VI", projection: d3.geo.wagner6()}, | |
| {name: "Wagner VII", projection: d3.geo.wagner7()}, | |
| {name: "Waterman", projection: d3.geo.polyhedron.waterman().scale(70)}, | |
| {name: "Winkel Tripel", projection: d3.geo.winkel3()} | |
| ]; | |
| var menu = d3.select("#projection-menu") | |
| .on("change", change); | |
| menu.selectAll("option") | |
| .data(options) | |
| .enter().append("option") | |
| .text(function(d) { return d.name; }); | |
| function change() { | |
| update(options[this.selectedIndex]); | |
| } | |
| var i = 0, | |
| n = options.length - 1; | |
| rando(); | |
| var projection = options[i].projection; | |
| options.forEach(function(option) { | |
| option.projection | |
| .translate([width / 2, height / 2]) | |
| .scale(option.projection.scale() * ratio) | |
| .clipExtent([[2 * ratio, 2 * ratio], [width - 2 * ratio, height - 2 * ratio]]); | |
| }); | |
| var graticule = d3.geo.graticule()(), | |
| face, | |
| boundaries; | |
| var canvas = d3.select("#map").append("canvas") | |
| .attr("width", width) | |
| .attr("height", height) | |
| .style("width", width / ratio + "px") | |
| .style("height", height / ratio + "px"); | |
| var context = canvas.node().getContext("2d"); | |
| context.fillStyle = "#f9f9f9"; | |
| context.strokeStyle = "#000"; | |
| var path = d3.geo.path() | |
| .projection(projection) | |
| .context(context); | |
| function rando() { | |
| var j = Math.floor(Math.random() * n); | |
| i = j + (j >= i); | |
| menu.property("selectedIndex", i = j + (j >= i)); | |
| } | |
| function change() { | |
| update(options[this.selectedIndex]); | |
| } | |
| function pathTween(projection0, projection1) { | |
| var t = 0, | |
| projection = d3.geo.projection(function(λ, φ) { | |
| λ *= 180 / Math.PI, φ *= 180 / Math.PI; | |
| var p0 = projection0([λ, φ]), p1 = projection1([λ, φ]); | |
| return [(1 - t) * p0[0] + t * p1[0], (1 - t) * -p0[1] + t * -p1[1]]; | |
| }) | |
| .scale(1) | |
| .translate([width / 2, height / 2]) | |
| .clipExtent(projection0.clipExtent()), | |
| path = d3.geo.path().projection(projection).context(context); | |
| return function() { | |
| return function(u) { | |
| t = u; | |
| redraw(path); | |
| }; | |
| }; | |
| } | |
| function update(option) { | |
| canvas.transition() | |
| .duration(750) | |
| .ease( d3.ease("quad") ) | |
| .tween("path", pathTween(projection, projection = option.projection)); | |
| path.projection(projection); | |
| } | |
| function redraw(path) { | |
| context.clearRect(0, 0, width, height); | |
| context.lineWidth = .5 * ratio; | |
| context.strokeStyle = "#999"; | |
| context.beginPath(), path(graticule), context.stroke(); | |
| context.beginPath(), path({type: "Sphere"}), context.stroke(); | |
| context.lineWidth = 2 * ratio; | |
| if (face) { | |
| context.strokeStyle = "#000"; | |
| context.lineWidth = 2; | |
| context.beginPath(), path(face), context.stroke(); | |
| } | |
| } | |
| d3.json("/awoodruff/raw/9216081/face.geojson", function(error, data) { | |
| face = data; | |
| redraw(path) | |
| }); | |
| </script> | |
| </body> | |
| </html> |
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