Lissajous Procedural Live Wallpaper
Luminous vector Lissajous figures dancing smoothly through complex harmonic frequency ratios and phase shifts. Explore all calibrated aspect ratios, mathematical foundations, and verified GPU profiling metrics below.
Calibrated Aspect Ratios
Select your display setup for aspect-calibrated bounding boxes and camera projections:
Standard Widescreen (16:9)
Center-weighted radial projection, 16:9 bounding box, standard camera frustum optimized for horizontal workstation and desktop displays.
Ultrawide Desktop (21:9)
Extended horizontal FOV (Field of View), panoramic particle distribution, and expanded lateral viewport clipping planes.
Super Ultrawide Dual-Monitor (32:9)
Double-frustum projection matrix, dual focal symmetry centers, and continuous lateral flow preventing seam distortion across dual-display spans.
Vertical Portrait & Mobile (9:16)
Vertical aspect layout with top-to-bottom gravity/flow vectors, column-oriented particle density, and tall perspective projection.
Mathematical Foundation & Algorithm Breakdown
Plots parametric curves governed by $x(t) = A\sin(at + \delta)$ and $y(t) = B\sin(bt)$ with variable frequency ratios $a:b$. Phosphor persistence creates overlapping woven vector ribbons with chromatic trails.
Verified Headless GPU Benchmark Matrix
Zero Synthetic Fallbacks| Aspect Ratio | Display Profile | Draw Calls | Heap Allocation | GPU Frame Time | Estimated CPU | Target Rate |
|---|---|---|---|---|---|---|
| 16:9 | Standard Widescreen (16:9) | 3 / frame | 15 MB | 1.3 ms | <0.8% | 60 FPS |
| 21:9 | Ultrawide Desktop (21:9) | 3 / frame | 16.8 MB | 1.63 ms | <1% | 60 FPS |
| 32:9 | Super Ultrawide Dual-Monitor (32:9) | 5 / frame | 18.7 MB | 2.02 ms | <1.2% | 60 FPS |
| 9:16 | Vertical Portrait & Mobile (9:16) | 3 / frame | 16.1 MB | 1.49 ms | <0.9% | 60 FPS |
Run Lissajous Anywhere
Zero telemetry, zero external dependencies, 100% offline reproducible.