A recreation of one of my favorite Bees & Bombs.
Last active
April 9, 2021 18:58
-
-
Save mbostock/6047b93d9d37bc1d8f89 to your computer and use it in GitHub Desktop.
Isometric II
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
license: gpl-3.0 | |
redirect: https://observablehq.com/@mbostock/isometric-ii |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
<!DOCTYPE html> | |
<meta charset="utf-8"> | |
<canvas width="960" height="500"></canvas> | |
<script src="//d3js.org/d3-timer.v0.3.min.js"></script> | |
<script src="//d3js.org/d3-ease.v0.7.min.js"></script> | |
<script src="isometric.js"></script> | |
<script> | |
var canvas = document.querySelector("canvas"), | |
context = canvas.getContext("2d"), | |
width = canvas.width, | |
height = canvas.height; | |
var isocontext = isometric(context); | |
isocontext.scale3d(30, 30, 30); | |
d3_timer.timer(function(elapsed) { | |
context.save(); | |
context.clearRect(0, 0, width, height); | |
context.fillStyle = "#fff"; | |
context.translate(width / 2, height * 0.6); | |
for (var x = 10, d, t = (elapsed / 3500) % 1; x >= -10; --x) { | |
for (var y = 10; y >= -10; --y) { | |
if ((d = distanceManhattan(x, y)) > 10) continue; | |
var te = d3_ease.easeCubic(Math.max(0, Math.min(1, t * 3.3 - distanceCartesian(x, y) / 4))); | |
drawCube((d & 1 ? -1 : +1) * (Math.PI / 4 - te * Math.PI / 2), x * 2, y * 2, 2 * te); | |
} | |
} | |
context.restore(); | |
}); | |
function distanceCartesian(x, y) { | |
return Math.sqrt(x * x + y * y); | |
} | |
function distanceManhattan(x, y) { | |
return Math.abs(x) + Math.abs(y); | |
} | |
function drawCube(angle, x, y, z) { | |
if ((angle %= Math.PI / 2) < 0) angle += Math.PI / 2; | |
isocontext.save(); | |
isocontext.translate3d(x, y, z); | |
isocontext.rotateZ(angle - Math.PI / 4); | |
context.beginPath(); | |
isocontext.moveTo(+0.5, -0.5, +0.5); | |
isocontext.lineTo(+0.5, +0.5, +0.5); | |
isocontext.lineTo(-0.5, +0.5, +0.5); | |
isocontext.lineTo(-0.5, +0.5, -0.5); | |
isocontext.lineTo(-0.5, -0.5, -0.5); | |
isocontext.lineTo(+0.5, -0.5, -0.5); | |
isocontext.closePath(); | |
context.fill(); | |
context.lineWidth = 1.5; | |
context.stroke(); | |
context.beginPath(); | |
isocontext.moveTo(-0.5, -0.5, +0.5); | |
isocontext.lineTo(+0.5, -0.5, +0.5); | |
isocontext.moveTo(-0.5, -0.5, +0.5); | |
isocontext.lineTo(-0.5, +0.5, +0.5); | |
isocontext.moveTo(-0.5, -0.5, +0.5); | |
isocontext.lineTo(-0.5, -0.5, -0.5); | |
context.lineWidth = 0.75; | |
context.stroke(); | |
isocontext.restore(); | |
} | |
</script> |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
(function(exports) { | |
var angle = Math.PI / 6; | |
var identity = [ | |
1, 0, 0, 0, | |
0, 1, 0, 0, | |
0, 0, 1, 0 | |
]; | |
function Isometric(context) { | |
this._moveTo = context.moveTo.bind(context); | |
this._lineTo = context.lineTo.bind(context); | |
this.closePath = context.closePath.bind(context); | |
this._matrix = identity.slice(); | |
this._matrixes = []; | |
this._projection = [ | |
Math.cos(angle), Math.cos(Math.PI - angle), | |
-Math.sin(angle), -Math.sin(Math.PI - angle) | |
]; | |
} | |
Isometric.prototype = { | |
_project: function(point, x, y, z) { | |
point( | |
x * this._projection[0] + y * this._projection[1], | |
x * this._projection[2] + y * this._projection[3] - z | |
); | |
}, | |
_transform: function(point, x, y, z) { | |
this._project(point, | |
x * this._matrix[0] + y * this._matrix[1] + z * this._matrix[2] + this._matrix[3], | |
x * this._matrix[4] + y * this._matrix[5] + z * this._matrix[6] + this._matrix[7], | |
x * this._matrix[8] + y * this._matrix[9] + z * this._matrix[10] + this._matrix[11] | |
); | |
}, | |
save: function() { | |
this._matrixes.push(this._matrix.slice()); | |
}, | |
restore: function() { | |
if (this._matrixes.length) this._matrix = this._matrixes.pop(); | |
}, | |
// | a b c d | | kx 0 0 0 | | a * kx b * ky c * kz d | | |
// | e f g h | * | 0 ky 0 0 | = | e * kx f * ky g * kz h | | |
// | i j k l | | 0 0 kz 0 | | i * kx j * ky k * kz l | | |
// | 0 0 0 1 | | 0 0 0 1 | | 0 0 0 1 | | |
scale3d: function(kx, ky, kz) { | |
this._matrix[0] *= kx; | |
this._matrix[1] *= ky; | |
this._matrix[2] *= kz; | |
this._matrix[4] *= kx; | |
this._matrix[5] *= ky; | |
this._matrix[6] *= kz; | |
this._matrix[8] *= kx; | |
this._matrix[9] *= ky; | |
this._matrix[10] *= kz; | |
}, | |
// | a b c d | | cos -sin 0 0 | | a * cos + b * sin a * -sin + b * cos c d | | |
// | e f g h | * | sin cos 0 0 | = | e * cos + f * sin e * -sin + f * cos g h | | |
// | i j k l | | 0 0 1 0 | | i * cos + j * sin i * -sin + j * cos k l | | |
// | 0 0 0 1 | | 0 0 0 1 | | 0 0 0 1 | | |
rotateZ: function(angle) { | |
var cos = Math.cos(angle), | |
sin = Math.sin(angle), | |
a = this._matrix[0], | |
b = this._matrix[1], | |
c = this._matrix[2], | |
d = this._matrix[3], | |
e = this._matrix[4], | |
f = this._matrix[5], | |
g = this._matrix[6], | |
h = this._matrix[7], | |
i = this._matrix[8], | |
j = this._matrix[9], | |
k = this._matrix[10], | |
l = this._matrix[11]; | |
this._matrix[0] = a * cos + b * sin; | |
this._matrix[1] = a * -sin + b * cos; | |
this._matrix[4] = e * cos + f * sin; | |
this._matrix[5] = e * -sin + f * cos; | |
this._matrix[8] = i * cos + j * sin; | |
this._matrix[9] = i * -sin + j * cos; | |
}, | |
// | a b c d | | 1 0 0 tx | | a b c a * tx + b * ty + c * tz + d | | |
// | e f g h | * | 0 1 0 ty | = | e f g e * tx + f * ty + g * tz + h | | |
// | i j k l | | 0 0 1 tz | | i j k i * tx + j * ty + k * tz + l | | |
// | 0 0 0 1 | | 0 0 0 1 | | 0 0 0 1 | | |
translate3d: function(tx, ty, tz) { | |
this._matrix[3] += this._matrix[0] * tx + this._matrix[1] * ty + this._matrix[2] * tz; | |
this._matrix[7] += this._matrix[4] * tx + this._matrix[5] * ty + this._matrix[6] * tz; | |
this._matrix[11] += this._matrix[8] * tx + this._matrix[9] * ty + this._matrix[10] * tz; | |
}, | |
moveTo: function(x, y, z) { | |
this._transform(this._moveTo, x, y, z); | |
}, | |
lineTo: function(x, y, z) { | |
this._transform(this._lineTo, x, y, z); | |
} | |
}; | |
exports.isometric = function(context) { | |
return new Isometric(context); | |
}; | |
})(this); |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment