Bioluminescent Jellyfish
Marine cnidarian hydrostatic locomotion modeled via periodic radial bell contractions and multi-node sinusoidal wave propagation down trailing tentacles.
60 FPS • Canvas 2D
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Full Executable Algorithm Code
200 lines
7697 chars
// 026 - Bioluminescent Jellyfish (creatures)
// 1:1 Original algorithm engine source
function createBioluminescentJellyfish() {
const BELL_RIBBONS = 48;
const TENTACLES = 96;
const NODES_PER_TENTACLE = 36;
return {
setup() {
},
render(context, timeState, params) {
const { ctx, width, height } = context;
const speed = Number(params.pulseSpeed || 1.1);
const tentacleLength = Number(params.tentacleLength || 200);
const glowIntensity = Number(params.glowIntensity || 1.3);
const t = timeState.time * speed;
ctx.fillStyle = "#020307";
ctx.fillRect(0, 0, width, height);
const cx = width * 0.5 + Math.sin(t * 0.4) * (width * 0.05);
const cy = height * 0.4 + Math.sin(t * 1.4) * 12;
const baseR = Math.min(width, height) * 0.23;
const pulse = 1 + 0.22 * Math.sin(t * 2.8);
const contraction = Math.max(0, -Math.sin(t * 2.8));
ctx.save();
ctx.translate(cx, cy);
ctx.globalCompositeOperation = "screen";
const baseHue = (185 + Math.sin(t * 0.6) * 25) % 360;
for (let r = 0; r < BELL_RIBBONS; r++) {
const normR = (r + 1) / BELL_RIBBONS;
const ribbonR = baseR * normR;
const domeH = ribbonR * 1.12 * pulse;
const domeW = ribbonR * (1.22 / pulse);
ctx.beginPath();
const steps = 80;
for (let i = 0; i <= steps; i++) {
const phi = i / steps * Math.PI;
const frill1 = Math.sin(phi * 8 + t * 3 + normR * 4) * (0.04 * normR);
const frill2 = Math.cos(phi * 16 - t * 2) * (0.02 * normR);
const scallop = Math.sin(phi * 8) * (8 * normR * pulse);
const px = Math.cos(phi) * domeW * (1 + frill1 + frill2);
const py = -Math.sin(phi) * domeH + scallop * (normR > 0.85 ? 1 : 0);
if (i === 0) ctx.moveTo(px, py);
else ctx.lineTo(px, py);
}
const ribbonHue = (baseHue + normR * 35) % 360;
const alpha = (0.08 + normR * 0.35 + contraction * 0.2) * glowIntensity;
ctx.strokeStyle = hsla(ribbonHue, 95, 65 + normR * 15, alpha);
ctx.lineWidth = normR > 0.9 ? 1.8 : 0.8;
ctx.stroke();
}
for (let ring = 1; ring <= 12; ring++) {
const normRing = ring / 12;
const rw = baseR * 1.15 * normRing * (1 / pulse);
const rh = baseR * 0.55 * normRing * pulse;
const ry = -baseR * 0.9 * (1 - normRing) * pulse;
ctx.beginPath();
ctx.ellipse(0, ry, rw, rh, 0, 0, Math.PI * 2);
ctx.strokeStyle = hsla((baseHue + 40) % 360, 90, 75, (0.12 + contraction * 0.25) * glowIntensity);
ctx.lineWidth = 1;
ctx.stroke();
}
for (let g = 0; g < 4; g++) {
const gAngle = g / 4 * Math.PI * 2 + Math.PI * 0.25;
const gDist = baseR * 0.42 * (1 / pulse);
const gx = Math.cos(gAngle) * gDist;
const gy = -baseR * 0.48 * pulse + Math.sin(gAngle) * (gDist * 0.5);
ctx.save();
ctx.translate(gx, gy);
ctx.rotate(gAngle + Math.PI * 0.5);
for (let h = 1; h <= 4; h++) {
const hr = (4 + h * 3) * pulse;
ctx.beginPath();
ctx.arc(0, 0, hr, 0.2 * Math.PI, 1.8 * Math.PI);
ctx.strokeStyle = hsla(325 + h * 8, 100, 75, (0.5 - h * 0.08) * glowIntensity);
ctx.lineWidth = 1.4;
ctx.stroke();
}
ctx.fillStyle = hsla(340, 100, 90, 0.95);
ctx.beginPath();
ctx.arc(0, 0, 3 * pulse, 0, Math.PI * 2);
ctx.fill();
ctx.restore();
}
for (let r = 0; r < 8; r++) {
const rPhi = r / 8 * Math.PI;
const rx = Math.cos(rPhi) * (baseR * 1.22 / pulse);
const ry = Math.sin(rPhi * 8) * 8 * pulse;
ctx.fillStyle = "#38bdf8";
ctx.shadowColor = "#38bdf8";
ctx.shadowBlur = 10;
ctx.beginPath();
ctx.arc(rx, ry, 2.5, 0, Math.PI * 2);
ctx.fill();
ctx.shadowBlur = 0;
}
for (let a = 0; a < 32; a++) {
const normA = a / 31;
const armSide = (normA - 0.5) * 2;
const armRootX = armSide * (baseR * 0.28);
const armRootY = -baseR * 0.15;
ctx.beginPath();
ctx.moveTo(armRootX, armRootY);
const armSteps = 45;
const armLen = tentacleLength * 0.95;
for (let s = 1; s <= armSteps; s++) {
const ns = s / armSteps;
const w1 = Math.sin(ns * 12 + t * 4 + a * 0.3) * (24 * ns * (1 + Math.abs(armSide)));
const w2 = Math.cos(ns * 24 - t * 3 + a * 0.5) * (10 * ns);
const w3 = Math.sin(t * 1.8 + ns * 6) * (32 * ns * armSide);
const ax = armRootX + w1 + w2 + w3;
const ay = armRootY + ns * armLen;
ctx.lineTo(ax, ay);
}
const armHue = (baseHue + 50 + normA * 45) % 360;
ctx.strokeStyle = hsla(armHue, 95, 78, 0.45 * glowIntensity);
ctx.lineWidth = 1.1;
ctx.stroke();
}
for (let k = 0; k < TENTACLES; k++) {
const normK = k / (TENTACLES - 1);
const phi = normK * Math.PI;
const rootX = Math.cos(phi) * (baseR * 1.2 / pulse);
const rootY = Math.sin(phi * 8) * 8 * pulse;
ctx.beginPath();
ctx.moveTo(rootX, rootY);
for (let n = 1; n <= NODES_PER_TENTACLE; n++) {
const normN = n / NODES_PER_TENTACLE;
const dist = normN * tentacleLength * (1 + 0.2 * Math.sin(t * 1.8 + k * 0.2));
const wave1 = Math.sin(t * 3.5 - normN * 8 + k * 0.35) * (26 * normN);
const wave2 = Math.cos(t * 2 + normN * 14 - k * 0.2) * (12 * normN);
const drift = Math.sin(t * 0.9) * (normN * 22);
const tx = rootX + wave1 + wave2 + drift;
const ty = rootY + dist;
ctx.lineTo(tx, ty);
if (n % 8 === 0 && k % 3 === 0) {
ctx.fillStyle = hsla((baseHue + k * 4) % 360, 100, 88, 0.85 * glowIntensity);
ctx.fillRect(tx - 1, ty - 1, 2.2, 2.2);
}
}
const tentHue = (baseHue - 20 + normK * 50 + t * 15) % 360;
const tentAlpha = (k % 4 === 0 ? 0.65 : 0.25) * glowIntensity;
ctx.strokeStyle = hsla(tentHue, 95, 75, tentAlpha);
ctx.lineWidth = k % 4 === 0 ? 1.4 : 0.7;
ctx.stroke();
}
ctx.restore();
}
};
}
// Default parameters from content metadata
const defaultParams = [
{
"key": "pulseSpeed",
"label": "Pulse Stroke Rate",
"type": "range",
"min": 0.5,
"max": 2.5,
"step": 0.1,
"defaultValue": 1.2,
"description": "Swimming bell contraction velocity"
},
{
"key": "tentacleLength",
"label": "Tentacle Reach",
"type": "range",
"min": 80,
"max": 260,
"step": 10,
"defaultValue": 160,
"description": "Length of trailing cnidocyte tentacles"
},
{
"key": "glowIntensity",
"label": "Bioluminescent Glow",
"type": "range",
"min": 0.2,
"max": 2,
"step": 0.1,
"defaultValue": 1,
"description": "Luciferin photonic emission level"
}
];
if (!window.__art_instances) window.__art_instances = {};
if (!window.__art_instances['bioluminescent-jellyfish']) {
const inst = typeof createBioluminescentJellyfish === 'function' ? createBioluminescentJellyfish() : null;
if (inst && inst.setup) {
inst.setup({ ctx, width, height, dpr: 1, aspectRatio: width / height }, defaultParams);
}
window.__art_instances['bioluminescent-jellyfish'] = inst;
}
const instance = window.__art_instances['bioluminescent-jellyfish'];
if (instance && instance.render) {
instance.render(
{ ctx, width, height, dpr: 1, aspectRatio: width / height },
{ time, deltaTime: dt, frameCount: Math.floor(time * 60), fps: 60 },
defaultParams
);
} Edit in Interactive Playground
Zero Dependencies • Standalone Canvas 2D
ƒ
Mathematical Formulation
high
Analytical Equation
R(θ,t)=R0[1+Asin(ωt)cos(nθ)],ytentacle(s,t)=s+Atsin(ks−ωt)
Click to expand
∑
Bioluminescent Jellyfish
Full Mathematical System • creatures
100%
Complete System of Equations
[Governing Law][Discrete Progression][Domain & Space][Parameter State]R(θ,t)=R0[1+Asin(ωt)cos(nθ)],ytentacle(s,t)=s+Atsin(ks−ωt)rdome=R⋅(1+0.22⋅sin(3t)),ytentacle=y0+s+sin(3t−6s+k)⋅18sx∈R2,t∈R+,ω∈[0,2π]λpulseSpeed=1.2(Pulse Stroke Rate),λtentacleLength=160(Tentacle Reach),λglowIntensity=1(Bioluminescent Glow)
R(θ,t)=R0[1+Asin(ωt)cos(nθ)],ytentacle(s,t)=s+Atsin(ks−ωt)
Computational Implementation (JavaScript Engine Equivalent)
r_dome = R*(1 + 0.22*sin(3t)), y_tentacle = y0 + s + sin(3t - 6s + k)*18s Compact Formula
r_dome = R*(1 + 0.22*sin(3t)), y_tentacle = y0 + s + sin(3t - 6s + k)*18s Mathematical Tags
#jellyfish
#marine
#creatures
#bioluminescence
#kinematics
#waves
Author: Math Art Core Target: 60 FPS
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