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.

Playground

60 FPS • Canvas 2D

Click + Drag to interact with field

Live Parameters

Deep Floor Stride Speed 1.1

8-legged walking gait tempo

Leg Span Reach 1.2

Arthropod leg length scaling

Mathematical Formulation

94 chars high

Analytical Equation

\mathbf{p}_{\text{tip}} = \mathbf{p}_{\text{coxa}} + \sum_{j=1}^{3} L_j \begin{bmatrix} \cos\theta_j(t) \\ \sin\theta_j(t) \end{bmatrix} + \mathbf{A}_{\text{step}} \sin(\omega t + \phi_i)

Compact Formula

knee = coxa + [75*reach, -80*reach + lift], tip = elbow + [35*reach + groundReach, 110*reach]

Renderer Logic

const kneeLift = Math.sin(legPhase) * (18 * crabScale);
const kneeX = coxaX + side * ((75 + leg * 12) * legSpread * crabScale);
const kneeY = coxaY - ((80 - leg * 10) * legSpread * crabScale) + kneeLift;
const tipX = elbowX + side * (35 * legSpread * crabScale) + groundReach;

Open in Playground Zero Dependencies • Standalone

Mathematical Tags

#spider-crab #macrocheira #crustacean #deep-sea #abyss #creatures #gait

Author: Math Art Core Target: 60 FPS

Japanese Giant Spider Crab

Live Parameters

Mathematical Formulation

Mathematical Tags

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