Published
Edited
Jan 16, 2022
1 star
golden_ratio = (1.0 + Math.sqrt(5)) / 2
golden_angle = 2.0 * Math.PI * (1.0 - 1.0 / golden_ratio)
function* plot_phyllotaxis(count, radius) {
for (let i = 1; i <= count; ++i) {
const theta = i * golden_angle;
const r = Math.sqrt(i / count);
const x = Math.cos(theta) * r * radius;
const y = Math.sin(theta) * r * radius;
yield node2d(x, y, 4);
}
}
function cylindrical_phyllotaxis(count, radius, h) {
let positions = [];
for (let i = 1; i <= count; ++i) {
const theta = i * golden_angle;
const x = Math.cos(theta) * radius;
const y = Math.sin(theta) * radius;
const z = i * (h / count);
positions.push(...[x, z, y]);
}
return node3d(positions);
}
function hemispherical_phyllotaxis(count, radius) {
let positions = [];
for (let i = 1; i <= count; ++i) {
const phi = Math.acos(1.0 - i / count);
const theta = i * golden_angle;
const x = Math.sin(phi) * Math.cos(theta) * radius;
const y = Math.sin(phi) * Math.sin(theta) * radius;
const z = Math.cos(phi) * radius;
positions.push(...[x, z, y]);
}
return node3d(positions);
}
function spherical_phyllotaxis(count, radius) {
let positions = [];
for (let i = 1; i <= count; ++i) {
const phi = Math.acos(1.0 - 2.0 * i / count);
const theta = i * golden_angle;
const x = Math.sin(phi) * Math.cos(theta) * radius;
const y = Math.sin(phi) * Math.sin(theta) * radius;
const z = Math.cos(phi) * radius;
positions.push(...[x, z, y]);
}
return node3d(positions);
}
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