How It Works
The process unfolds in three key stages. Use the toggles above to see how each stage contributes to the final path.
1. Point-Field Transformation
Instead of being a simple coordinate, each character in the string becomes an "attractor," generating its own potential field. The strength and shape of this field are derived from the character's data: its Unicode value (Amplitude) and its binary UTF-8 pattern (Topography). Characters with higher Unicode values (like 'ü') create stronger fields than those with lower values (like 'a').
2. Field Superposition
All the individual character fields are summed into a single, global potential field. This creates a complex energy landscape across the canvas, full of influential "valleys" (low-energy areas, shown in lighter colors) and "ridges" (high-energy areas). The original points are now just the epicenters of this combined field. Toggle the Potential Field view to see this landscape.
3. Geodesic Pathfinding
The final, shortened path is calculated as the most efficient route—a geodesic—from the first character's field to the last. This path naturally seeks out the "valleys" of least resistance. It can take shortcuts through low-energy areas and effectively "tunnel" past less influential points, resulting in a smooth, intelligent curve that is significantly shorter than the traditional, point-to-point route.