Abyssal Tripod Fish

Bathypterois grallator abyssal fish standing poised above the abyssal sea floor on three hyper-elongated rigid stilt fins, facing into the bottom current to intercept drifting prey.

Playground

60 FPS • Canvas 2D

Click + Drag to interact with field

Live Parameters

Benthic Current Velocity 1

Abyssal current particle drift speed

Stilt Fin Height 1.2

Elevation above seafloor ooze

Mathematical Formulation

103 chars high

Analytical Equation

\mathbf{F}_{\text{stilt}} = \mathbf{p}_{\text{seafloor}} - \mathbf{p}_{\text{pelvic}}, \quad \mathbf{p}_{\text{pectoral}}(s, t) = \mathbf{p}_{\text{root}} + \mathbf{B}(s) + \begin{bmatrix} A_c \sin(\omega t) \\ 0 \end{bmatrix}

Compact Formula

stilt_fin = quadCurve(pelvic_root, groundContact), prey_sensor = bezierCurve(pectoral_root, wave_tips)

Renderer Logic

ctx.quadraticCurveTo(rootX + s * 15 * fishScale, groundContactY * 0.5, groundContactX, groundContactY);
const pecWave = Math.sin(t * 2 + s) * 12 * fishScale;
ctx.bezierCurveTo(pecRootX + 25 * fishScale, -65 * fishScale, pecRootX + 85 * fishScale, -110 * fishScale + pecWave, pecRootX + 115 * fishScale, -135 * fishScale + pecWave);

Open in Playground Zero Dependencies • Standalone

Mathematical Tags

#tripod-fish #bathypterois #abyss #deep-sea #creatures #benthic #seafloor

Author: Math Art Core Target: 60 FPS

Abyssal Tripod Fish

Live Parameters

Mathematical Formulation

Mathematical Tags

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