Hilbert Curve

Generates visual representations of the Hilbert curve, a type of space-filling fractal. This mathematical function maps points in a one-dimensional space into two or more higher dimensions while maintaining proximity relationships, effectively drawing a continuous path through a structured grid. Users input parameters defining the desired resolution and iteration level, allowing the tool to calculate and render the complex, self-similar pattern that fills the defined area. Researchers in discrete mathematics and computer science utilize this tool for visualizing complex data structures and understanding dimensionality reduction techniques. It is particularly useful for tasks involving optimal routing or storage management within grid-based systems.