Fractals as Sculptures
Dynamical Systems
2025-10-31 v1 Metric Geometry
Abstract
The attractors of iterated function systems are usually obtained as the Hausdorff limit of any non-empty compact subset under iteration. In this note we show that an iterated function system on a boundedly compact metric space has compact, invariant subspaces so that the attractor of the IFS can also be expressed as the intersection of a sequence of decreasing compact spaces.
Keywords
Cite
@article{arxiv.2510.25949,
title = {Fractals as Sculptures},
author = {Şahin Koçak},
journal= {arXiv preprint arXiv:2510.25949},
year = {2025}
}