A hypercube graph. Dedicated to a friend departed.
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August 26, 2016 04:03
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<!DOCTYPE html> | |
<meta charset="utf-8"> | |
<style> | |
body { | |
text-align: center; | |
font-family: monospace; | |
background-color: #f2f2f2; | |
} | |
polygon { | |
fill: none; | |
stroke: #22313F; | |
stroke-width: 0.7; | |
} | |
.liner { | |
stroke: #22313F; | |
stroke-width: 0.7; | |
} | |
.pointer { | |
fill: #e1ffe1; | |
stroke: #c0c0ff; | |
stroke-width: 1; | |
} | |
</style> | |
<script src="http://d3js.org/d3.v3.min.js"></script> | |
<body> | |
<script> | |
var width = 500; | |
var height = 500; | |
function move_to_front() { | |
d3.selectAll("circle").each(function() { | |
this.parentNode.appendChild(this); | |
}); | |
}; | |
function get_polygon_points(points) { | |
var pts = ""; | |
for (var i = 0; i < points.length; i++) { | |
for (var k = 0; k < points[i].length; k++) { | |
if (k < points[i].length - 1) { | |
pts += points[i][k] + ","; | |
} else { | |
pts += points[i][k] + " "; | |
} | |
} | |
} | |
return pts; | |
} | |
function midpoint(p1, p2, d) { | |
return [(p1[0] + p2[0]) / d, (p1[1] + p2[1]) / d]; | |
} | |
function add_points(points, space) { | |
for (var i = 0; i < points.length; i++) { | |
var circle = space.append("circle") | |
.attr("class", "pointer") | |
.attr("cx", points[i][0]) | |
.attr("cy", points[i][1]) | |
.attr("r", 3.5); | |
} | |
} | |
function get_oct_points(origin, radius) { | |
var incl = 0.3; | |
var p1 = [origin[0], origin[1] - (radius * 1.5)]; //top | |
var p2 = [origin[0] + (radius * 1.5), origin[1]]; //right | |
var p3 = [origin[0], origin[1] + (radius * 1.5)]; //bottom | |
var p4 = [origin[0] - (radius * 1.5), origin[1]]; //left | |
var lt = midpoint(p1, p4, 2); | |
var rt = midpoint(p1, p2, 2); | |
var lb = midpoint(p3, p4, 2); | |
var rb = midpoint(p2, p3, 2); | |
var p5 = [lt[0] - (radius * incl), lt[1] - (radius * incl)]; //top left noke | |
var p6 = [rt[0] + (radius * incl), rt[1] - (radius * incl)]; //top right noke | |
var p7 = [lb[0] - (radius * incl), lb[1] + (radius * incl)]; //bottom left noke | |
var p8 = [rb[0] + (radius * incl), rb[1] + (radius * incl)]; //bottom right noke | |
return [ | |
p1, p6, p2, p8, p3, p7, p4, p5, | |
]; | |
} | |
function vertices(origin, radius, space, pts, add_oct) { | |
var points = get_oct_points(origin, radius); | |
if (add_oct) { | |
space.append("polygon").attr("points", get_polygon_points(points)); | |
} | |
var l_pts = pts.length; | |
for (var j = 0; j < l_pts; j++) { | |
var left = j - 1; | |
var right = j + 1; | |
if (left < 0) { | |
left = l_pts - 1; | |
} | |
if (right > l_pts - 1) { | |
right = 0; | |
} | |
space.append("line") | |
.attr("class", "liner") | |
.attr("x1", pts[j][0]) | |
.attr("y1", pts[j][1]) | |
.attr("x2", points[left][0]) | |
.attr("y2", points[left][1]); | |
space.append("line") | |
.attr("class", "liner") | |
.attr("x1", pts[j][0]) | |
.attr("y1", pts[j][1]) | |
.attr("x2", points[right][0]) | |
.attr("y2", points[right][1]); | |
} | |
add_points(points, space); | |
return points; | |
} | |
function octagon(origin, radius, space) { | |
var points = get_oct_points(origin, radius); | |
space.append("polygon").attr("points", get_polygon_points(points)); | |
space.append("line") | |
.attr("class", "liner") | |
.attr("x1", points[1][0]) | |
.attr("y1", points[1][1]) | |
.attr("x2", points[6][0]) | |
.attr("y2", points[6][1]); | |
space.append("line") | |
.attr("class", "liner") | |
.attr("x1", points[2][0]) | |
.attr("y1", points[2][1]) | |
.attr("x2", points[5][0]) | |
.attr("y2", points[5][1]); | |
space.append("line") | |
.attr("class", "liner") | |
.attr("x1", points[7][0]) | |
.attr("y1", points[7][1]) | |
.attr("x2", points[2][0]) | |
.attr("y2", points[2][1]); | |
space.append("line") | |
.attr("class", "liner") | |
.attr("x1", points[6][0]) | |
.attr("y1", points[6][1]) | |
.attr("x2", points[3][0]) | |
.attr("y2", points[3][1]); | |
space.append("line") | |
.attr("class", "liner") | |
.attr("x1", points[0][0]) | |
.attr("y1", points[0][1]) | |
.attr("x2", points[3][0]) | |
.attr("y2", points[3][1]); | |
space.append("line") | |
.attr("class", "liner") | |
.attr("x1", points[0][0]) | |
.attr("y1", points[0][1]) | |
.attr("x2", points[5][0]) | |
.attr("y2", points[5][1]); | |
space.append("line") | |
.attr("class", "liner") | |
.attr("x1", points[4][0]) | |
.attr("y1", points[4][1]) | |
.attr("x2", points[1][0]) | |
.attr("y2", points[1][1]); | |
space.append("line") | |
.attr("class", "liner") | |
.attr("x1", points[4][0]) | |
.attr("y1", points[4][1]) | |
.attr("x2", points[7][0]) | |
.attr("y2", points[7][1]); | |
add_points(points, space); | |
return points; | |
} | |
var space = d3.select("body").append("svg").attr("width", width).attr("height", height).append("g"); | |
var origin = [width / 2, height / 2]; | |
var radius = 11.5; | |
for (var i = 0; i < 4; i++) { | |
if (i == 0) { | |
var points = octagon(origin, radius, space); | |
} else { | |
if (4 - i == 1) { | |
points = vertices(origin, radius, space, points, true); | |
} else { | |
points = vertices(origin, radius, space, points, false); | |
} | |
} | |
radius *= 2.4; | |
} | |
move_to_front(); | |
</script> | |
</body> |
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