Engineer at Mapbox, creator of Leaflet, algorithms geek, open source enthusiast, musician, father of twin girls, Ukrainian. 🇺🇦
Published
Edited
Aug 12, 2018
3 forks
16 stars
Finding a short route through points without returning back with 2-optCollatz conjecture (3x + 1)Robust Arithmetic in Computational GeometryKinematics of Reverse Angle ParkingApproximating Geometric SlerpEdgebreaker, the Heart of Google DracoFast Icosphere MeshHilbert Curve PackingSimple rectangle packingFast and simple prime generatorFast Distance TransformCalculating Pi digitsAdaptive Concave HullMARTINI: Real-Time RTIN Terrain Mesh
Drawing logarithmic spirals
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Explorables
// the angular step that corresponds to a line of stepWidth length in pixels
step = (t) => Math.atan(stepLength / radius(t))
// the maximum angle from the axis (after which the spiral certainly goes off the screen):
maxT = Math.log(Math.hypot(width / 2, height / 2) / a) / b
// radius of a logarithmic spiral (given an angle from the axis)
radius = (t) => a * Math.exp(b * t)
// position of a point on a spiral given an angle from the axis and an offset angle (for rotation)
pos = (t, angle) => {
const r = radius(t);
const x = r * Math.cos(t + angle);
const y = r * Math.sin(t + angle);
return {x, y};
}
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