Leafy Sea Dragon

Phycodurus eques syngnathid anatomy displaying an armored tubular pipe snout, an Archimedean/logarithmic prehensile tail curl, and undulating leafy camouflage lobes.

Playground

60 FPS • Canvas 2D

Click + Drag to interact with field

Live Parameters

Ocean Swell Rhythm 1.1

Camouflage foliage sway rate

Foliage Lobe Span 1.2

Leafy appendage elongation

Mathematical Formulation

108 chars high

Analytical Equation

r_{\text{tail}}(\theta) = r_0 e^{-b \theta}, \quad \mathbf{p}_{\text{leaf}}(s, t) = \mathbf{p}_{\text{stem}}(s) + \begin{bmatrix} A_s \sin(\omega_s t + s) \\ A_s \cos(\omega_s t + s) \end{bmatrix}

Compact Formula

tail = tail_root + [35 - cos(θ)*r, 25 + sin(θ)*r], r = 55 * exp(-0.45*θ), leaf_sway = sin(2.5t + phase)*14

Renderer Logic

const theta = normS * Math.PI * 3.5;
const r = 55 * dragonScale * Math.exp(-0.45 * theta);
const tx = 25 * dragonScale + 35 * dragonScale - Math.cos(theta) * r;
const ty = 45 * dragonScale + 25 * dragonScale + Math.sin(theta) * r;

Open in Playground Zero Dependencies • Standalone

Mathematical Tags

#sea-dragon #phycodurus #syngnathid #creatures #camouflage #spiral #marine

Author: Math Art Core Target: 60 FPS

Leafy Sea Dragon

Live Parameters

Mathematical Formulation

Mathematical Tags

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