Giant Praya Siphonophore

Deep ocean Praya dubia siphonophore colony modeled as a 3D helical coenosarc stem of swimming nectophores with trailing bioluminescent red/blue tentilla fishing lattices.

Playground

60 FPS • Canvas 2D

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Live Parameters

Abyssal Drift Velocity 0.9

Colony swimming undulation speed

Colony Extension 1.1

Coenosarc stem span scaling

Mathematical Formulation

108 chars high

Analytical Equation

\mathbf{r}_{\text{stem}}(s, t) = \begin{bmatrix} s L \\ R_s \sin(4\pi s + \omega_1 t) \\ R_s \cos(4\pi s + \omega_1 t) \end{bmatrix}, \quad \mathbf{p}_{\text{tentilla}}(s, u, t) = \mathbf{r}_{\text{stem}}(s) + \begin{bmatrix} A_w \sin(\omega_2 t - k u) \\ u H \end{bmatrix}

Compact Formula

stem = [s*L + sin(1.2t + 4s)*25, sin(4πs + 0.8t)*R], tentilla = [stem.x + sin(2.5t - 6u)*15u, stem.y + u*H]

Renderer Logic

const theta = norm * Math.PI * 4 + t * 0.8;
const stemX = cx + (norm - 0.5) * scale * 1.8 + Math.sin(t * 1.2 + norm * 4) * 25;
const stemY = cy + Math.sin(theta) * (scale * 0.35);
const wave = Math.sin(t * 2.5 - normS * 6 + k * 0.4) * (15 * normS);

Open in Playground Zero Dependencies • Standalone

Mathematical Tags

#siphonophore #deep-sea #abyss #creatures #colonial #bioluminescence #helix

Author: Math Art Core Target: 60 FPS

Giant Praya Siphonophore

Live Parameters

Mathematical Formulation

Mathematical Tags

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