A Julia set that morphs between spirals, dendrites and dust as its constant c traces the edge of the main cardioid.
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Paste two lines into any page, play it in a terminal, or put a GIF in a README. The code follows the look you pick above.
<script type="module" src="https://www.ascii-magic.com/ascii/ascii.js"></script>
<ascii-art piece="julia-set"></ascii-art>// copy julia-set.js and kit.js into your project, then:
import { useEffect, useRef } from "react";
import create from "./julia-set.js";
export function Piece() {
const ref = useRef(null);
useEffect(() => {
const draw = create(), t0 = performance.now();
let raf;
const tick = () => {
const f = draw((performance.now() - t0) / 1000);
ref.current.textContent = f.text ?? f;
raf = requestAnimationFrame(tick);
};
tick();
return () => cancelAnimationFrame(raf);
}, []);
return <pre ref={ref} style={{ lineHeight: 1, fontFamily: "Menlo, Consolas, monospace" }} />;
}npx --yes https://www.ascii-magic.com/ascii/cli.tgz julia-set<!-- Download GIF below, commit it, then: -->
<p align="center">
<img src="assets/julia-set.gif" alt="Julia Set, animated ASCII art" width="720">
</p>Pause on the frame you like, pick a look, then download it at an exact size.
MIT licensed. It imports one small helper file, kit.js.
/* julia-set: a filled Julia set that morphs as its constant c traces the edge of the Mandelbrot cardioid. */
import { Grid, palette, gradient, KEYS, clamp, TAU } from "../lib/kit.js";
const RAMP = gradient(["#12041e", "#3a0a5a", "#8a1a8a", "#e0408a", "#ff9a5a", "#ffe08a", "#fffbe8"], 20);
const pal = palette([...RAMP, "#2a0c48", "#40186a"]); // interior shades
const NR = RAMP.length;
export const meta = {
slug: "julia-set",
name: "Julia Set",
category: "algorithms",
note: "A Julia set that morphs between spirals, dendrites and dust as its constant c traces the edge of the main cardioid.",
tags: ["fractal", "math", "morph", "wallpaper", "hero"],
cols: 84, rows: 36, fps: 24,
palette: pal,
};
export default function create() {
const { cols, rows } = meta;
const g = new Grid(cols, rows);
const IN1 = KEYS[NR], IN2 = KEYS[NR + 1];
const maxIt = 110;
return (t) => {
// c rides just around the edge of the main cardioid, where Julia sets are richest
const a = 0.6 + t * 0.21;
const rr = 1.0 + 0.045 * Math.sin(a * 2.3);
const cr = rr * (Math.cos(a) / 2 - Math.cos(2 * a) / 4), ci = rr * (Math.sin(a) / 2 - Math.sin(2 * a) / 4);
const step = 3.4 / cols;
for (let y = 0; y < rows; y++) {
const y0 = (y - rows / 2 + 0.5) * step * 2;
for (let x = 0; x < cols; x++) {
let zr = (x - cols / 2 + 0.5) * step, zi = y0, i = 0, zr2 = zr * zr, zi2 = zi * zi;
while (i < maxIt && zr2 + zi2 < 64) { zi = 2 * zr * zi + ci; zr = zr2 - zi2 + cr; zr2 = zr * zr; zi2 = zi * zi; i++; }
if (i >= maxIt) { g.set(x, y, (x + y) % 2 ? "▓" : "▒", (x + y) % 2 ? IN2 : IN1); continue; }
const nu = i + 1 - Math.log2(Math.log2(zr2 + zi2) / 2);
const v = clamp(Math.pow(nu / 28, 0.5));
g.set(x, y, v < 0.18 ? "░" : v < 0.32 ? "▒" : v < 0.5 ? "▓" : "█", KEYS[Math.min(NR - 1, Math.floor(v * NR))]);
}
}
return g.frame();
};
}
/YOUR OWN
The pieces here are hand-built animations. To turn your own photo, logo or video into animated ASCII, use the ASCII Magic editor.