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Last active April 20, 2018 09:03
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Arc diagram
license: gpl-3.0
height: 400

An arc diagram of Les Miserables characters ordered by the first chapter they appear in. Arcs represent characters that interact with each other. This can be seen as a 1D semantic substrate.

Arc diagrams can be useful for examining relationships between an ordered variable, like chapters in a book, and the connections between nodes. However, because of limits in screen size, arc diagrams are often limited to graphs with a few hundred nodes at most. It can also be difficult to identify high-level patterns in connections and clusters, depending on the sort order.

<!DOCTYPE html>
<meta charset="utf-8">
<style>
.links path {
fill: none;
stroke: #999;
stroke-opacity: 0.6;
}
.nodes circle {
fill: #d62333;
stroke: #fff;
stroke-width: 1px;
}
</style>
<svg></svg>
<script src="https://d3js.org/d3.v4.min.js"></script>
<script>
var i, j, node;
var groupSep = 10;
var nodeRadius = d3.scaleSqrt().range([3, 7]);
var linkWidth = d3.scaleLinear().range([1.5, 2 * nodeRadius.range()[0]]);
var margin = {
top: nodeRadius.range()[1] + 1,
right: nodeRadius.range()[1] + 1,
bottom: nodeRadius.range()[1] + 1,
left: nodeRadius.range()[1] + 1
};
var width = 960 - margin.left - margin.right;
var height = 400 - margin.top - margin.bottom;
var x = d3.scaleLinear().range([0, width]);
var svg = d3.select('svg')
.attr('width', width + margin.left + margin.right)
.attr('height', height + margin.top + margin.bottom)
.append('g')
.attr('transform', 'translate(' + margin.left + ',' + margin.top + ')');
d3.json('jean.json', function (error, graph) {
if (error) throw error;
var idToNode = {};
graph.nodes.forEach(function (n) {
idToNode[n.id] = n;
});
graph.links.forEach(function (e) {
e.source = idToNode[e.source];
e.target = idToNode[e.target];
});
// Sort nodes by first appearance (volume, book, chapter)
graph.nodes.forEach(function (n) {
n.chapters = n.chapters.map(function (chaps) { return chaps.split('.').map(function (c) { return parseInt(c); }); });
n.chapters.sort(chapterCompare).reverse();
n.firstChapter = n.chapters[0];
});
graph.nodes.sort(function (a, b) {
return chapterCompare(a.firstChapter, b.firstChapter);
}).reverse();
// Compute x,y coordinates (have a little extra separation when we switch volumes)
for (i = 0, j = 0; i < graph.nodes.length; ++i) {
node = graph.nodes[i];
if (i > 0 && graph.nodes[i-1].firstChapter[0] != node.firstChapter[0]) ++j;
node.x = j * groupSep + i * (width - 4 * groupSep) / (graph.nodes.length - 1);
node.y = height;
}
nodeRadius.domain(d3.extent(graph.nodes, function (d) { return d.chapters.length; }));
linkWidth.domain(d3.extent(graph.links, function (d) { return d.chapters.length; }));
var link = svg.append('g')
.attr('class', 'links')
.selectAll('path')
.data(graph.links)
.enter().append('path')
.attr('d', function (d) {
return ['M', d.source.x, height, 'A',
(d.source.x - d.target.x)/2, ',',
(d.source.x - d.target.x)/2, 0, 0, ',',
d.source.x < d.target.x ? 1 : 0, d.target.x, ',', height]
.join(' ');
})
.attr('stroke-width', function (d) { return linkWidth(d.chapters.length); })
.on('mouseover', function (d) {
link.style('stroke', null);
d3.select(this).style('stroke', '#d62333');
node.style('fill', function (node_d) {
return node_d === d.source || node_d === d.target ? 'black' : null;
});
})
.on('mouseout', function (d) {
link.style('stroke', null);
node.style('fill', null);
});
var node = svg.append('g')
.attr('class', 'nodes')
.selectAll('circle')
.data(graph.nodes)
.enter().append('circle')
.attr('cx', function (d) { return d.x; })
.attr('cy', function (d) { return d.y; })
.attr('r', function (d) { return nodeRadius(d.chapters.length); })
.on('mouseover', function (d) {
node.style('fill', null);
d3.select(this).style('fill', 'black');
var nodesToHighlight = graph.links.map(function (e) { return e.source === d ? e.target : e.target === d ? e.source : 0})
.filter(function (d) { return d; });
node.filter(function (d) { return nodesToHighlight.indexOf(d) >= 0; })
.style('fill', '#555');
link.style('stroke', function (link_d) {
return link_d.source === d | link_d.target === d ? '#d62333' : null;
});
})
.on('mouseout', function (d) {
node.style('fill', null);
link.style('stroke', null);
});
node.append('title').text(function (d) { return d.name + ' - ' + d.firstChapter.join('.'); });
function chapterCompare (aChaps, bChaps) {
if (aChaps[0] != bChaps[0])
return bChaps[0] - aChaps[0];
else if (aChaps[1] != bChaps[0])
return bChaps[1] - aChaps[1];
else if (aChaps[2] != bChaps[2])
return bChaps[2] - aChaps[2];
return 0;
}
});
</script>
{"nodes": [{"id": "TH", "chapters": ["1.4.1", "3.8.9", "5.9.4", "2.2.2", "5.3.3", "3.8.18", "3.8.19", "2.5.10", "3.8.12", "3.8.16", "3.8.17", "2.3.8", "2.3.9", "1.4.3", "2.3.2", "2.3.10", "3.8.8", "5.3.8", "3.8.6", "3.8.7", "3.8.4", "4.6.3", "4.8.4", "2.1.19", "5.6.1", "3.8.21", "3.8.20"], "name": "Th\\'enardier"}, {"id": "MN", "chapters": ["3.2.6", "4.6.1"], "name": "Magnon"}, {"id": "FT", "chapters": ["1.3.3", "1.3.2", "1.3.7", "3.6.6", "1.3.4", "1.3.8"], "name": "F\\'elix Tholomy\\`es"}, {"id": "BA", "chapters": ["4.12.6", "4.12.4", "4.12.3", "3.4.4", "4.14.1", "4.14.3", "3.4.1", "4.11.4", "4.11.5"], "name": "Bahorel"}, {"id": "BB", "chapters": ["3.8.21", "4.6.3", "3.8.20", "3.7.3", "4.8.4"], "name": "Babet"}, {"id": "BL", "chapters": ["1.3.3", "1.3.2", "1.3.8", "1.3.6", "1.3.4"], "name": "Blacheville"}, {"id": "BM", "chapters": ["1.7.10", "1.7.9", "1.5.12"], "name": "Monsieur Bamatabois"}, {"id": "JV", "chapters": ["5.1.24", "5.5.5", "5.5.4", "5.5.7", "5.5.8", "1.5.13", "3.8.18", "3.8.19", "1.6.1", "2.5.10", "3.8.14", "1.8.4", "2.3.10", "5.8.1", "2.8.8", "5.8.2", "4.5.2", "5.8.3", "5.3.11", "2.8.9", "5.3.10", "2.8.7", "2.8.6", "2.8.4", "2.8.1", "1.8.1", "4.3.7", "4.3.4", "4.3.5", "5.6.2", "1.8.2", "4.3.1", "4.3.8", "2.3.8", "1.2.11", "5.6.3", "1.7.11", "5.9.2", "4.3.2", "4.15.1", "4.15.2", "4.15.3", "5.8.4", "3.6.1", "3.6.2", "2.5.8", "3.8.9", "2.5.6", "2.2.1", "2.5.7", "2.5.4", "1.6.2", "5.3.4", "2.5.9", "5.3.2", "1.2.9", "5.3.9", "1.5.6", "1.5.1", "1.5.3", "1.5.2", "2.4.3", "2.4.2", "2.4.1", "4.9.1", "2.4.5", "2.4.4", "1.7.9", "1.7.8", "1.7.7", "1.8.5", "1.7.5", "1.7.4", "1.7.3", "1.7.2", "1.7.1", "1.8.3", "1.2.10", "2.3.9", "1.2.12", "1.2.13", "5.1.19", "5.1.18", "5.9.3", "1.7.10", "5.1.11", "2.3.6", "2.3.7", "1.2.6", "1.2.7", "1.2.4", "1.2.5", "1.2.3", "3.8.8", "5.3.8", "5.3.7", "5.3.6", "5.3.5", "2.5.5", "2.5.2", "2.5.3", "5.3.1", "2.5.1", "1.2.1", "5.1.9", "5.1.4", "5.1.6", "4.4.1", "4.4.2", "5.7.1", "5.9.5", "3.8.21", "3.8.20"], "name": "Jean Valjean"}, {"id": "BO", "chapters": ["3.4.2", "4.12.6", "3.4.1", "4.12.3", "4.12.2", "3.4.4", "5.1.14", "5.1.7", "5.1.11", "5.1.2", "4.14.1", "4.14.3", "4.14.5", "5.1.21", "3.8.15", "5.1.18"], "name": "Bossuet (Lesgle)"}, {"id": "JP", "chapters": ["4.12.6", "4.14.3", "3.4.1", "4.12.3", "4.12.8"], "name": "Jean Prouvaire"}, {"id": "BJ", "chapters": ["4.6.3", "4.8.4"], "name": "Brujon"}, {"id": "DA", "chapters": ["1.3.3", "1.3.9", "1.3.8", "1.3.6", "1.3.4"], "name": "Dahlia"}, {"id": "BT", "chapters": ["3.3.1", "3.3.3"], "name": "Baroness of T--"}, {"id": "BU", "chapters": ["3.1.8", "3.8.22"], "name": "Madame Burgon"}, {"id": "EN", "chapters": ["4.12.7", "4.12.6", "4.12.5", "4.12.4", "4.12.3", "5.1.21", "5.1.22", "5.1.23", "4.12.8", "4.1.6", "4.14.1", "4.14.3", "4.14.5", "5.1.19", "5.1.18", "5.1.14", "5.1.17", "5.1.11", "5.1.13", "5.1.12", "3.4.3", "3.4.1", "5.1.9", "5.1.8", "3.4.5", "5.1.5", "5.1.4", "5.1.7", "5.1.6", "5.1.3", "5.1.2"], "name": "Enjolras"}, {"id": "SP", "chapters": ["1.8.5", "1.7.1"], "name": "Sister Perp\\'etue"}, {"id": "FE", "chapters": ["4.12.6", "3.4.1", "4.12.3", "5.1.18", "5.1.21", "5.1.2", "4.14.1"], "name": "Feuilly"}, {"id": "BR", "chapters": ["1.7.11", "1.7.10"], "name": "Brevet"}, {"id": "BS", "chapters": ["5.2.3", "5.2.4"], "name": "Bruneseau"}, {"id": "JD", "chapters": ["3.1.8"], "name": "Jondrette"}, {"id": "ZE", "chapters": ["1.3.3", "1.3.9", "1.3.8", "1.3.4"], "name": "Zephine"}, {"id": "LI", "chapters": ["1.3.3", "1.3.2", "1.3.8", "1.3.4"], "name": "Listolier"}, {"id": "JA", "chapters": ["4.12.7", "5.4.1", "1.5.13", "1.5.12", "1.6.2", "4.14.3", "4.14.5", "2.5.10", "1.8.5", "4.15.1", "1.8.3", "5.1.19", "5.1.18", "1.5.5", "1.5.6", "1.8.4", "5.3.9", "5.3.3", "2.4.5", "5.3.11", "5.3.10", "5.1.6", "3.8.21", "3.8.20"], "name": "Javert"}, {"id": "BZ", "chapters": ["5.5.1", "2.2.2"], "name": "Boulatruelle"}, {"id": "GR", "chapters": ["2.8.7", "2.8.5"], "name": "Gribier"}, {"id": "FV", "chapters": ["1.3.3", "1.3.9", "1.3.8", "1.3.6", "1.3.4"], "name": "Favourite"}, {"id": "TM", "chapters": ["2.3.8", "1.4.1", "1.4.3", "2.3.9", "2.3.2", "2.3.3", "2.3.4", "3.8.18", "3.8.19", "4.6.1", "3.8.7", "3.8.12", "3.8.21", "3.8.20", "3.8.16", "3.8.17"], "name": "Madame Th\\'enardier"}, {"id": "LL", "chapters": ["2.4.3", "2.5.10", "2.4.5", "2.4.4"], "name": "Old woman 2"}, {"id": "GP", "chapters": ["3.3.2", "2.1.19", "3.3.4"], "name": "George Pontmercy"}, {"id": "TS", "chapters": ["4.5.3", "4.15.1"], "name": "Toussaint"}, {"id": "EP", "chapters": ["2.3.8", "4.14.6", "4.2.3", "3.8.7", "4.9.2", "4.11.6", "4.2.4", "3.8.11", "4.8.3", "4.8.4", "3.8.16"], "name": "Eponine"}, {"id": "XB", "chapters": ["5.1.16", "4.6.2"], "name": "Child 2"}, {"id": "MV", "chapters": ["3.2.8"], "name": "Madamoiselle Vaubois"}, {"id": "FN", "chapters": ["1.4.1", "1.5.9", "1.5.8", "1.5.10", "1.5.13", "1.5.12", "1.3.3", "1.8.5", "1.6.1", "1.7.1", "1.3.4", "1.8.4", "1.7.6", "1.3.9", "1.3.8", "1.8.1", "1.8.2", "1.8.3"], "name": "Fantine"}, {"id": "LP", "chapters": ["4.1.4", "4.1.3"], "name": "Louis Philippe"}, {"id": "JU", "chapters": ["1.7.11", "1.7.9", "1.7.10"], "name": "Judge of Douai"}, {"id": "NP", "chapters": ["1.1.1", "2.1.10", "2.1.8", "2.1.9", "2.1.7", "2.1.4"], "name": "Napoleon"}, {"id": "TG", "chapters": ["3.5.6", "3.2.8", "3.3.7", "4.5.1"], "name": "Lieutenant Theodule Gillenormand"}, {"id": "PO", "chapters": ["1.8.5", "1.7.4"], "name": "Old woman 1"}, {"id": "PL", "chapters": ["4.9.3", "3.5.4", "4.4.2"], "name": "Mother Plutarch"}, {"id": "PG", "chapters": ["1.2.13"], "name": "Petit Gervais"}, {"id": "SS", "chapters": ["1.7.6", "1.8.1", "1.7.1", "1.8.5"], "name": "Sister Simplice"}, {"id": "GU", "chapters": ["3.8.21", "4.6.3", "3.8.20", "3.7.3", "4.8.4"], "name": "Gueulemer"}, {"id": "CH", "chapters": ["1.7.11", "1.7.9", "1.7.10"], "name": "Champmathieu"}, {"id": "CO", "chapters": ["5.9.5", "2.5.6", "2.4.2", "4.8.3", "2.5.5", "5.5.4", "5.5.6", "4.3.4", "5.7.1", "4.3.5", "5.6.2", "5.8.1", "5.8.2", "5.8.3", "4.15.1", "2.3.8", "5.9.4", "1.4.3", "5.9.1", "2.3.1", "2.3.3", "2.3.4", "2.3.5", "2.3.6", "2.3.7", "2.4.4", "3.8.8", "2.4.3", "2.5.7", "2.5.4", "4.8.2", "2.5.2", "2.5.3", "2.4.5", "2.5.1", "4.5.1", "4.5.2", "4.5.3", "4.5.5", "4.5.6", "2.4.1", "2.8.4", "4.4.1", "4.3.6", "4.3.7", "3.6.2", "3.6.3", "4.8.6", "3.6.6", "5.6.1", "3.6.8", "5.1.10", "3.6.1", "4.8.1", "4.3.8"], "name": "Cosette"}, {"id": "CN", "chapters": ["1.7.11", "1.7.10"], "name": "Chenildieu"}, {"id": "CM", "chapters": ["4.12.6", "4.1.6", "3.4.1", "5.1.8", "3.4.5", "5.1.4", "5.1.7", "4.12.8", "4.14.1", "4.14.3", "4.11.4", "4.11.5", "5.1.21", "4.14.5", "5.1.2", "5.1.17", "5.1.18"], "name": "Combeferre"}, {"id": "CL", "chapters": ["1.1.4"], "name": "Countess de L\\^o"}, {"id": "CC", "chapters": ["1.7.11", "1.7.10"], "name": "Cochepaille"}, {"id": "VI", "chapters": ["1.5.9", "1.5.8"], "name": "Madame Victurnien"}, {"id": "IS", "chapters": ["1.2.6"], "name": "Isabeau"}, {"id": "XA", "chapters": ["5.1.16", "4.6.2"], "name": "Child 1"}, {"id": "MG", "chapters": ["5.5.4", "3.5.6", "3.3.1", "5.6.2", "3.3.2", "3.3.5", "3.3.7", "3.3.8", "3.2.8", "4.8.7"], "name": "Madamoiselle Gillenormand"}, {"id": "HL", "chapters": ["4.12.4", "4.12.2", "4.12.1"], "name": "Madame Hucheloup"}, {"id": "GG", "chapters": ["1.1.10"], "name": "G--"}, {"id": "GE", "chapters": ["1.1.4"], "name": "G\\'eborand"}, {"id": "GA", "chapters": ["4.12.7", "4.12.4", "4.12.3", "5.1.8", "5.1.15", "5.1.7", "3.1.8", "5.1.11", "4.14.3", "4.14.1", "4.11.1", "4.11.2", "4.11.3", "4.11.4", "4.14.7", "4.15.4", "4.14.5", "4.6.3", "4.6.2", "4.15.2", "3.8.22"], "name": "Gavroche"}, {"id": "CR", "chapters": ["4.12.6", "4.12.5", "4.12.4", "4.12.3", "5.1.21", "4.1.6", "4.14.1", "4.14.3", "4.14.5", "3.8.15", "5.1.18", "5.1.15", "5.1.14", "5.1.17", "5.1.13", "4.11.4", "4.11.5", "4.11.6", "4.8.3", "4.9.2", "3.4.2", "3.4.3", "3.4.1", "3.4.6", "3.4.5", "5.1.7", "5.1.2"], "name": "Courfeyrac"}, {"id": "QU", "chapters": ["4.12.8", "3.8.21", "3.8.20", "3.7.3", "4.8.4"], "name": "Claquesous"}, {"id": "AZ", "chapters": ["2.3.8", "3.8.16", "5.6.1"], "name": "Anzelma"}, {"id": "CV", "chapters": ["1.1.7"], "name": "Cravatte"}, {"id": "GI", "chapters": ["3.2.4", "5.5.3", "5.3.12", "5.5.6", "3.5.6", "3.2.3", "5.6.2", "3.3.1", "3.2.5", "3.2.6", "3.2.7", "3.3.5", "3.3.4", "3.2.2", "5.6.1", "3.3.8", "3.2.1", "3.2.8", "4.8.7", "5.5.4"], "name": "Monsieur Luke Esprit Gillenormand"}, {"id": "ME", "chapters": ["1.2.12", "1.1.2", "1.1.5", "1.1.4", "1.1.7", "1.1.6", "1.2.4", "1.2.5", "1.2.2", "1.2.3"], "name": "Madame Magloire"}, {"id": "JL", "chapters": ["1.2.1"], "name": "Jacquin Labarre"}, {"id": "FF", "chapters": ["1.5.6", "2.8.9", "2.8.8", "2.8.7", "1.5.7", "2.8.4", "2.8.3", "2.8.2", "2.8.1", "2.5.8", "2.5.9", "2.8.5"], "name": "Fauchelevent"}, {"id": "GT", "chapters": ["4.1.6", "3.4.1", "4.12.3", "4.12.2", "3.4.4", "5.1.23"], "name": "Grantaire"}, {"id": "MA", "chapters": ["4.13.3", "4.13.1", "5.1.21", "5.1.8", "5.1.24", "3.8.4", "5.3.7", "5.9.1", "5.6.2", "5.3.5", 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