Classic Mercator Procedural Live Wallpaper
Antique maritime world chart showing accurate continental coastlines, nautical rhumb lines, and the solar day-night terminator. 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
Maps spherical Earth coordinates $(lat, lon)$ to planar coordinates using the conformal Mercator projection $y = \ln(\tan(\pi/4 + \phi/2))$. Solar sub-stellar coordinates compute the sinusoidal day-night terminator curve.
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) | 9 / frame | 23.4 MB | 1.8 ms | <1.2% | 60 FPS |
| 21:9 | Ultrawide Desktop (21:9) | 9 / frame | 26.2 MB | 2.25 ms | <1.5% | 60 FPS |
| 32:9 | Super Ultrawide Dual-Monitor (32:9) | 14 / frame | 29.1 MB | 2.79 ms | <1.9% | 60 FPS |
| 9:16 | Vertical Portrait & Mobile (9:16) | 9 / frame | 25.1 MB | 2.07 ms | <1.4% | 60 FPS |
Run Classic Mercator Anywhere
Zero telemetry, zero external dependencies, 100% offline reproducible.