Consultant Designer & Developer
067 Tessellated tangrams066 Side walk on a rainy day065 144 Trapeziums064 Blank arcade063 Transmogrifying circles062 Mugshots061 Last 30 seconds060 Overprinted discs059 Lazy polygons058 Hexmaze056 Connections055 Letter grid054 Koch curve053 Fizzled grid052 Lines on a 5×5 grid051 Sol Lewitt’s ‘Lines of One Inch, Four Directions, Four Colours’050 Sol Lewitt’s wall drawing 289049 Dots and lines048 Blending ratios047 Squares using pen on paper046 Tetrahedrons045 Monochromatic squares044 Fifteen silly ways to draw a line043 One way to arrange lines042 Misregistered041 Running in circles040 Dancing to the noise039 Deformed Rectangles038 x raised to y mod n037 Shapes on a QuadTree036 Wolfram’s Rules 30, 90, 110 and 184035 Dancing Lines034 Sol LeWitt’s Successive Lines033 Directional Tiles032 A Bunch of Lines031 Lorenz Attractor030 Karel Martens’s Kinetic Work029 Map of Somewhere028 Piet Mondrian027 Peaks of Shards026 Dots in Motion025 A Pack of Circles024 Squares on Markov Chain023 Moon rise022 Tensile Roof021 Arrangements020 Squares and Arcs019 Sierpiński carpet018 Squiggles II017 Squiggles016 Some Triangles015 Some Rectangles014 Joy Division013 Study in Lightness012 Truchet tiles011 Triangles010 Shapes with Shapes009 Lines #3008 Perlin Noise Halftones007 '10 PRINT' Pattern006 Wandered Dot005 Wandering Dot004 Lines #2003 Lines #1002 Circles #2001 Circles #1
057 Dreaming shapes
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Selected works
{
// draw bg
ctx.fillStyle = palette.bg;
ctx.fillRect(0, 0, width, height);
drawPts(ctx, pixelData, { fill: palette.fg });
}
pixelData = {
randomize;
let data = shapes;
data = debug ? applyDoF(data, { e: 0.1, m: 0.1 }) : applyDoF(data);
return data;
}
function drawPts(ctx, data, opts = {}) {
const { fill, r } = Object.assign(
{
fill: "#fff",
r: 0.125
},
opts
);
ctx.beginPath();
ctx.globalCompositeOperation = "screen";
ctx.fillStyle = fill;
data.forEach((pt) => {
const [x0, y0] = pt.position;
const x = x0 + width / 2;
const y = y0 + height / 2;
ctx.moveTo(x, y);
const R = random.range(r * 0.25, r * 1.5);
ctx.arc(x, y, R, 0, 2 * Math.PI);
});
ctx.fill();
ctx.globalCompositeOperation = "source-over";
}
function applyDoF(pts, opts = {}) {
const { m, e, pixelsPerPoint, frustum } = Object.assign(
{
m: 0.9, // 0.99
e: 0.6, // 0.99
pixelsPerPoint: 100,
frustum: 2000
},
opts
);
const c = camera.slice();
const f = dst(focusPoint, c);
return pts
.map((v) => {
const d = dst(v, c);
const r = m * Math.pow(Math.abs(f - d), e);
return d3.range(pixelsPerPoint).map(() => {
const w = GLVec3.add([], v, rndSphere(r));
const vec3Projected = projectPointOnPlane(w, projectionPlane);
const distToProjectPlane = dst(w, vec3Projected);
const [x, y, z] = vec3Projected;
if (x < -width / 2 || x > width / 2) return false;
if (y < -height / 2 || y > height / 2) return false;
if (distToProjectPlane > frustum) return false;
if (projectionPlane[2] < z) return false;
return {
position: [x, y]
};
});
})
.flat()
.filter(Boolean);
}
function applyRotations(points, opts = {}) {
const { rotateX, rotateY } = Object.assign(
{
rotateX: 1 / 18,
rotateY: 1 / 12
},
opts
);
let pts = points.slice();
pts = pts.map((pt) => GLVec3.rotateX([], pt, [0, 0, 0], -rotateX));
pts = pts.map((pt) => GLVec3.rotateY([], pt, [0, 0, 0], -rotateY));
return pts;
}
shapes = {
randomize;
let shapes = packSphere({
maxCount: 150,
minRadius: 0.1,
maxRadius: 0.75
})
.map((s) => {
const typeOfShape = random.weightedSet(typeOfShapes);
const { position, radius } = s;
if (typeOfShape === "cube") return cube(position, radius);
if (typeOfShape === "square") return square(position, radius);
if (typeOfShape === "line") return line(position, radius);
if (typeOfShape === "triangle") return triangle(position, radius);
return false;
})
.filter(Boolean)
.flat();
return shapes;
}
function line(pos, radius) {
const position = GLVec3.scale([], pos, scaling);
const r = radius * scaling;
const theta = random.range(Math.PI);
const phi = random.range(2 * Math.PI);
const dx = r * Math.sin(theta) * Math.cos(phi);
const dy = r * Math.sin(theta) * Math.sin(phi);
const dz = r * Math.cos(theta);
const p1 = [position[0] + dx, position[1] + dy, position[2] + dz];
const p2 = [position[0] - dx, position[1] - dy, position[2] - dz];
return interpolateBetweenPoints(p1, p2);
}
function triangle(pos, radius) {
const h = Math.sqrt(3) / 2;
const dy = Math.sqrt(3) / 6;
const unitTriangle = [
[-0.5, 0, 0],
[0.5, 0, 0],
[0, h, 0]
].map((p) => GLVec3.add([], p, [0, -dy, 0]));
const position = GLVec3.scale([], pos, scaling);
const r = radius * scaling;
const a = (r * 2) / Math.sqrt(3);
const theta = random.range(Math.PI);
const phi = random.range(2 * Math.PI);
const shiftedTriangle = unitTriangle
.map((p) => GLVec3.scale([], p, a / 2))
.map((p) => GLVec3.rotateX([], p, [0, 0, 0], theta))
.map((p) => GLVec3.rotateZ([], p, [0, 0, 0], phi))
.map((p) => GLVec3.add([], p, position));
const [p1, p2, p3] = shiftedTriangle;
return [
interpolateBetweenPoints(p1, p2),
interpolateBetweenPoints(p2, p3),
interpolateBetweenPoints(p3, p1)
].flat();
}
function square(pos, radius) {
const unitSquare = [
[1, 1, 0],
[1, -1, 0],
[-1, -1, 0],
[-1, 1, 0]
];
const position = GLVec3.scale([], pos, scaling);
const r = radius * scaling;
const a = (r * 2) / Math.sqrt(3);
const theta = random.range(Math.PI);
const phi = random.range(2 * Math.PI);
const shiftedSquare = unitSquare
.map((p) => GLVec3.scale([], p, a / 2))
.map((p) => GLVec3.rotateX([], p, [0, 0, 0], theta))
.map((p) => GLVec3.rotateZ([], p, [0, 0, 0], phi))
.map((p) => GLVec3.add([], p, position));
const [p1, p2, p3, p4] = shiftedSquare;
return [
interpolateBetweenPoints(p1, p2),
interpolateBetweenPoints(p2, p3),
interpolateBetweenPoints(p3, p4),
interpolateBetweenPoints(p4, p1)
].flat();
}
function cube(pos, radius) {
const unitCube = [
[0.5, 0.5, 0.5],
[0.5, -0.5, 0.5],
[-0.5, -0.5, 0.5],
[-0.5, 0.5, 0.5],
[0.5, 0.5, -0.5],
[0.5, -0.5, -0.5],
[-0.5, -0.5, -0.5],
[-0.5, 0.5, -0.5]
];
const position = GLVec3.scale([], pos, scaling);
const r = radius * scaling;
const a = (r * 2) / Math.sqrt(3);
const theta = random.range(Math.PI);
const phi = random.range(2 * Math.PI);
const shiftedSquare = unitCube
.map((p) => GLVec3.scale([], p, a / 2))
.map((p) => GLVec3.rotateX([], p, [0, 0, 0], theta))
.map((p) => GLVec3.rotateZ([], p, [0, 0, 0], phi))
.map((p) => GLVec3.add([], p, position));
const [p1, p2, p3, p4, p5, p6, p7, p8] = shiftedSquare;
return [
interpolateBetweenPoints(p1, p2),
interpolateBetweenPoints(p2, p3),
interpolateBetweenPoints(p3, p4),
interpolateBetweenPoints(p4, p1),
interpolateBetweenPoints(p5, p6),
interpolateBetweenPoints(p6, p7),
interpolateBetweenPoints(p7, p8),
interpolateBetweenPoints(p8, p5),
interpolateBetweenPoints(p1, p5),
interpolateBetweenPoints(p2, p6),
interpolateBetweenPoints(p3, p7),
interpolateBetweenPoints(p4, p8)
].flat();
}
typeOfShapes = [
{ value: "cube", weight: 1 },
{ value: "line", weight: 1 },
{ value: "square", weight: 19 },
{ value: "triangle", weight: 19 }
]
focusPoint = [0, 0, 0]
camera = [0, 0, Math.max(width, height) * 2]
scaling = Math.max(width, height) / 2
palette = {
if (colorScheme === "bw") {
return {
bg: `hsl(0,0%,5%)`,
fg: opacify(`hsl(0,0%,95%)`, 0.85)
};
}
return colors;
}
colors = {
randomize;
const bg = getRandomColor(0.4);
let fg = getRandomContrastColor(bg);
fg = opacify(fg, 0.8);
return { bg, fg };
}
function rnd() {
return random.value();
}
lerp = math.lerp
dst = distance
function rndSphere(r) {
return random.insideSphere(r);
}
function degToRad(deg) {
return (Math.PI / 180) * deg;
}
function interpolateBetweenPoints(p1, p2) {
const d = distance(p1, p2);
return math
.linspace(d * 2, true)
.map((u) => [
math.lerp(p1[0], p2[0], u),
math.lerp(p1[1], p2[1], u),
math.lerp(p1[2], p2[2], u)
]);
}
function opacify(color, alpha = 1.0) {
const obj = culori.rgb(color);
obj.alpha = alpha;
return culori.formatRgb(obj);
}
import { getRandomColor, getRandomContrastColor } from "@saneef/random-colors"
import { footer } from "@saneef/notebooks-footer"
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