Recursive branching curves

The supplied image is best described as a curved fractal tree: smaller branching structures repeat the shape of larger ones. “Recursive branching tree” is also a useful search term. The screenshot alone does not determine an exact generating equation or a unique named construction.

These are branching structures, not necessarily single parametrized curves. The gallery separates standard names from descriptive variations. All previews are finite-depth illustrative constructions, not identifications of the original video's algorithm.