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Jan 9, 2023
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Chandrupatla’s root-finding methodSidi’s root-finding methodRegular numbersDruidJS workerNatural breaksDistance to a segmentRay out of a convex hullWord Tour: 40k words and their friendsHello, @thi.ng/grid-iteratorsHead/tail breaksPseudo-blue noise shaderAoC 12: shortest path under constraintsKDE estimationPlot: Correlation heatmapPoisson Finish 2Poisson disk sampling functionsWoS with transportSimple and surprising sortLocal medianTime series topological subsamplingUnion-FindLevel set experiment 1Mean value coordinatesPoisson potentialMiddle-squareWorld of squares (spherical)World of squaresLargest Inscribed SquareHello, PyWaveletsGeothmetic meandianHello, Reorder.jsGeometric MedianImage FFTTransport to a mapDisc TransportTP3: Power Diagram and Semi-Discrete Optimal TransportThe blue waveHello, genetic-jsSliced Optimal TransportDruidJSSelf-Organizing Maps meet DelaunayHello, polygon-clippingseedrandom, minimalWalk on Spheres 2Walk on SpheresHello, AutoencoderKaprekar’s numberVoronoiMap2DHello, ccwt.jsPolygon TriangulationQuantile.invert?Linear congruential generatorHue blurNeedle in a haystackMoving average blurApollo 11 implementation of trigonometric functions, by Margaret H. Hamilton (march 1969)2D curves intersectionThe 2D approximate Newton-Raphson methodInverting Lee’s Tetrahedral projectionLinde–Buzo–Gray stipplingMean shift clustering with kd-tree2D point distributionsShortest pathKahan SummationHello, delatinDijkstra’s algorithm in gpu.jsLloyd’s relaxation on a graphManhattan DiameterManhattan VoronoiMobility landscapes — an introductionDijkstra’s shortest-path treeH3 odditiesProtein MatrixConvex Spectral WeightsSort stuff by similarityKrigingDelaunay.findTrianglen-dimensions binning?Travelling with a self-organizing mapUMAP-o-MaticMNIST & UMAP-jsHello UMAP-jsMean shift clusteringLevenshtein transitionRd quasi-random sequencesAutomated label placement (countries)Phyllotaxis explainedMotionrugsPlanar hull (Andrew’s monotone chain algorithm)South Africa’s medial axisTravelling salesperson approximation with t-SNEDistance to shoreWorkerngraph: pagerank, louvain…t-SNE VoronoiCloud ContoursCircular function drawingKruskal MazeMyceliumTravelling salesperson approximation on the globe, with t-SNEtsne.jstsne.js & worker
How fast does walk-on-spheres converge?
walkSteps = (x, y = 0) => {
let d,
t = 0;
d = Math.hypot(x, y);
while (d > 1) {
t++;
const angle = Math.random() * 2 * Math.PI;
x += d * Math.cos(angle);
y += d * Math.sin(angle);
d = Math.hypot(x, y);
}
return t;
}
walkSteps(100)
Plot.plot({
marks: [Plot.dot(d3.range(400), { x: (d) => d, y: (d) => walkSteps(d) })],
y: { type: "log" }
})
f = (angle) => Math.hypot(Math.sin(angle), 1 + Math.cos(angle))
factor = d3
.range(0, Math.PI, 0.04)
.map(f)
Plot.tickX(factor, { stroke: (d) => (d < 1 ? "blue" : "red") }).plot({
x: { transform: Math.log }
})
{
const random = d3.randomLcg(50);
const stop = (V) => {
let stopped = false;
return V.map((d) =>
stopped || d < -Math.log(100) ? ((stopped = true), -Math.log(100)) : d
);
};
return Plot.plot({
y: {
type: "log",
transform: (d) => Math.exp(d) * 100,
domain: [1, Math.exp(33)],
label: "↑ radius",
grid: true
},
marks: [
Plot.lineY(
Array.from({ length: 10000 }, () =>
Math.log(f(random() * 2 * Math.PI))
),
Plot.mapY(
stop,
Plot.mapY("cumsum", {
y: (d) => d,
strokeWidth: 0.75,
x: (d, i) => i % 1000,
stroke: (d, i) => (i / 1000) | 0
})
)
),
Plot.tickY([0, -Math.log(100)])
]
});
}
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