Manta Ray Glide

Elasmobranch batoid kinematics capturing the 2D traveling oscillation waves along flexible pectoral wing margins and fluid wake vortex shedding.

Playground

60 FPS • Canvas 2D

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Live Parameters

Gliding Rhythm 1.1

Wing flap oscillation cycle

Pectoral Wingspan 180

Hydrodynamic wing tip reach

Mathematical Formulation

64 chars medium

Analytical Equation

z(x, y, t) = A(x) \sin(k x - \omega t) \exp\left(-\frac{y^2}{\sigma^2}\right), \quad \mathbf{p}_{\text{tail}}(s, t) = s + A_w \sin(\omega_t t - s \cdot k_t)

Compact Formula

wing_z = A(x)*sin(kx - ωt)*exp(-y²/σ²), tail = sin(3t - 4s)*20s

Renderer Logic

const leftTipY = -10 + wingWave * 32;
const tailWave = Math.sin(t * 3 - ns * 4) * (20 * ns);

Open in Playground Zero Dependencies • Standalone

Mathematical Tags

#manta-ray #ray #creatures #hydrodynamics #wings #marine

Author: Math Art Core Target: 60 FPS

Manta Ray Glide

Live Parameters

Mathematical Formulation

Mathematical Tags

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