ƒ(x)
MATH.ART
1

Organic Wave

Harmonic superposition of linear sinusoidal waves and radial distance ripples creating a rhythmic, breathing undulating mesh.

Playground
60 FPS • Canvas 2D
Click + Drag to interact with field

Live Parameters

Spatial Frequency 0.02
Controls wavelength spacing
Wave Amplitude 35
Height of the crests
Oscillation Speed 1
Temporal propagation rate
Base Hue 195
Base color spectrum
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Mathematical Formulation

90 chars low
Analytical Equation
z(x, y, t) = A_1 \sin(k_1 x + \omega_1 t) \cos(k_2 y + \omega_2 t) + A_2 \sin(k_3 \sqrt{x^2 + y^2} - \omega_3 t)
Compact Formula
y = sin(x * 0.02 + t) * cos(y * 0.01 + t * 0.5) * 35 + sin(dist(x, y) * 0.05 - t * 2) * 20
Renderer Logic 
const wave1 = Math.sin(px * freq + t) * Math.cos(py * freq * 0.7 + t * 0.5);
const wave2 = Math.sin(d * freq * 1.5 - t * 2.0) * 0.5;
const offset = (wave1 + wave2) * amp;
const renderY = py + offset;
Open in Playground Zero Dependencies • Standalone

Mathematical Tags

#sin #cos #wave #mesh #organic #trigonometry
Author: Math Art Core Target: 60 FPS

Export & Embed: Organic Wave

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High-resolution single frame render

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60 FPS browser-captured stream

HTML Iframe Embed

<iframe src="https://art.fazleyrabbi.xyz/embed/organic-wave" width="500" height="500" frameborder="0" loading="lazy"></iframe>
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