Hilbert Space-Filling Curve Construction

This GeoGebra example demonstrates the generation of the Hilbert curve, a classic fractal space-filling curve that maps a unit square into a continuous curve through recursive subdivision. Core mathematical concepts include: recursive fractals, space-filling curves, grid traversal, and iterated function systems (IFS). Construction details: uses Join command to connect line segments sequentially, Translate command for recursive curve duplication, button objects (butCreate, butDelete) to control curve generation and deletion, and variable n to control recursion depth. Suitable for upper secondary school and university mathematics courses, ideal for understanding fractal geometry, recursive constructions, and curve-filling algorithms in computer graphics.