Japanese Giant Spider Crab
Macrocheira kaempferi abyssal giant arthropod mechanics modeling 8 hyper-elongated 4-joint walking legs spanning the ocean floor with articulated spiny chelipeds.
60 FPS • Canvas 2D
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Full Executable Algorithm Code
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5843 chars
import type { ArtRenderer, ParameterState, RenderContext, TimeState } from '../../types/engine';
import { hsla } from '../common/color';
// Ultra-Detailed Anatomical Japanese Giant Spider Crab (Macrocheira Kaempferi)
// Features: 8 hyper-elongated 5-segmented Chebyshev linkage walking legs,
// 20 volumetric carapace contour rings with tuberculate spines, and articulated toothed chelipeds.
export function createGiantSpiderCrab(): ArtRenderer {
const SHELL_RINGS = 20;
return {
setup() {},
render(context: RenderContext, timeState: TimeState, params: ParameterState) {
const { ctx, width, height } = context;
const crawlSpeed = Number(params.gaitSpeed || 1.1);
const legSpread = Number(params.legReach || 1.2);
const t = timeState.time * crawlSpeed;
ctx.fillStyle = '#020306';
ctx.fillRect(0, 0, width, height);
const cx = width * 0.5;
const cy = height * 0.52 + Math.sin(t * 1.2) * 4;
const crabScale = Math.min(width, height) / 520;
ctx.save();
ctx.globalCompositeOperation = 'screen';
const baseHue = (18 + Math.sin(t * 0.5) * 15) % 360;
// 1. 3D Perspective Seafloor Grid
const seafloorY = cy + 130 * crabScale;
ctx.beginPath();
ctx.moveTo(0, seafloorY);
ctx.lineTo(width, seafloorY);
ctx.strokeStyle = 'rgba(249, 115, 22, 0.25)';
ctx.lineWidth = 1.6;
ctx.stroke();
// 2. Eight Hyper-Elongated 5-Segmented Chebyshev Walking Legs
for (let side = -1; side <= 1; side += 2) {
for (let leg = 0; leg < 4; leg++) {
const legPhase = t * 3.2 + leg * 0.9 + (side === 1 ? Math.PI : 0);
// Joint 1: Coxa Base on Carapace
const coxaX = cx + side * (35 * crabScale);
const coxaY = cy + (leg - 1.5) * (14 * crabScale);
// Joint 2: High Merus Knee Arch (Lift & Stride)
const kneeLift = Math.sin(legPhase) * (24 * crabScale);
const kneeX = coxaX + side * ((80 + leg * 14) * legSpread * crabScale);
const kneeY = coxaY - ((88 - leg * 12) * legSpread * crabScale) + kneeLift;
// Joint 3: Carpus Elbow
const elbowX = kneeX + side * ((68 + leg * 14) * legSpread * crabScale);
const elbowY = coxaY + ((28 + leg * 14) * legSpread * crabScale);
// Joint 4: Propodus
const propX = elbowX + side * (32 * legSpread * crabScale);
const propY = elbowY + (45 * crabScale);
// Joint 5: Dactylus Ground Tip (Contacting Seafloor)
const groundReach = Math.cos(legPhase) * (20 * crabScale);
const tipX = propX + side * (18 * legSpread * crabScale) + groundReach;
const tipY = seafloorY;
// Render multi-strand leg segments for volumetric thickness
for (let str = -1; str <= 1; str++) {
ctx.beginPath();
ctx.moveTo(coxaX, coxaY);
ctx.lineTo(kneeX + str * 2, kneeY);
ctx.lineTo(elbowX + str * 2, elbowY);
ctx.lineTo(propX, propY);
ctx.lineTo(tipX, tipY);
const legHue = (baseHue + leg * 8) % 360;
ctx.strokeStyle = hsla(legHue, 95, 65, str === 0 ? 0.85 : 0.4);
ctx.lineWidth = str === 0 ? 2.8 * crabScale : 1.2;
ctx.stroke();
}
// Articulation Condyle Nodes
ctx.fillStyle = '#fde047';
ctx.beginPath();
ctx.arc(kneeX, kneeY, 3.8 * crabScale, 0, Math.PI * 2);
ctx.arc(elbowX, elbowY, 3.2 * crabScale, 0, Math.PI * 2);
ctx.arc(propX, propY, 2.6 * crabScale, 0, Math.PI * 2);
ctx.arc(tipX, tipY, 2.0 * crabScale, 0, Math.PI * 2);
ctx.fill();
}
}
// 3. Volumetric Spiny Carapace Dome (20 Concentric Pear-Shaped Shell Rings)
for (let r = 1; r <= SHELL_RINGS; r++) {
const normR = r / SHELL_RINGS;
const curW = 42 * normR * crabScale;
const curH = 52 * normR * crabScale;
ctx.beginPath();
const steps = 48;
for (let i = 0; i <= steps; i++) {
const phi = (i / steps) * Math.PI * 2;
const spine = (Math.sin(phi * 8) > 0.6) ? 1.08 : 1.0;
const px = cx + Math.cos(phi) * curW * spine;
const py = cy + Math.sin(phi) * curH * spine;
if (i === 0) ctx.moveTo(px, py);
else ctx.lineTo(px, py);
}
ctx.closePath();
const sHue = (baseHue + normR * 20) % 360;
ctx.strokeStyle = hsla(sHue, 95, 65, (0.08 + normR * 0.35));
ctx.lineWidth = r === SHELL_RINGS ? 2.4 * crabScale : 1.0;
ctx.stroke();
if (r % 4 === 0) {
ctx.fillStyle = hsla(sHue, 90, 50, 0.05);
ctx.fill();
}
}
// 4. Two Long Articulated Chelipeds (Forward-Reaching Claws)
for (let side = -1; side <= 1; side += 2) {
const armBaseX = cx + side * (20 * crabScale);
const armBaseY = cy - (38 * crabScale);
const clawReach = 78 * legSpread * crabScale;
const elbowAngle = -Math.PI / 2 + side * 0.35 + Math.sin(t * 2 + side) * 0.18;
const armElbowX = armBaseX + Math.cos(elbowAngle) * clawReach;
const armElbowY = armBaseY + Math.sin(elbowAngle) * clawReach;
const clawTipX = armElbowX + side * (38 * crabScale);
const clawTipY = armElbowY - (45 * crabScale);
ctx.beginPath();
ctx.moveTo(armBaseX, armBaseY);
ctx.lineTo(armElbowX, armElbowY);
ctx.lineTo(clawTipX, clawTipY);
ctx.strokeStyle = hsla(baseHue - 10, 100, 70, 0.9);
ctx.lineWidth = 4.2 * crabScale;
ctx.stroke();
// Chela Pincer
ctx.fillStyle = '#f87171';
ctx.beginPath();
ctx.arc(clawTipX, clawTipY, 5.0 * crabScale, 0, Math.PI * 2);
ctx.fill();
}
ctx.restore();
},
};
}
Edit in Interactive Playground
Zero Dependencies • Standalone Canvas 2D
ƒ
Mathematical Formulation
high
Analytical Equation
ptip=pcoxa+j=1∑3Lj[cosθj(t)sinθj(t)]+Astepsin(ωt+ϕi)
Click to expand
∑
Japanese Giant Spider Crab
Full Mathematical System • creatures
100%
Complete System of Equations
[Governing Law][Discrete Progression][Domain & Space][Parameter State]ptip=pcoxa+j=1∑3Lj[cosθj(t)sinθj(t)]+Astepsin(ωt+ϕi)knee=coxa+[75⋅reach,−80⋅reach+lift],tip=elbow+[35⋅reach+groundReach,110⋅reach]x∈R2,t∈R+,ω∈[0,2π]λgaitSpeed=1.1(Deep Floor Stride Speed),λlegReach=1.2(Leg Span Reach)
ptip=pcoxa+j=1∑3Lj[cosθj(t)sinθj(t)]+Astepsin(ωt+ϕi)
Computational Implementation (JavaScript Engine Equivalent)
knee = coxa + [75*reach, -80*reach + lift], tip = elbow + [35*reach + groundReach, 110*reach] Compact Formula
knee = coxa + [75*reach, -80*reach + lift], tip = elbow + [35*reach + groundReach, 110*reach] Mathematical Tags
#spider-crab
#macrocheira
#crustacean
#deep-sea
#abyss
#creatures
#gait
Author: Math Art Core Target: 60 FPS
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