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arXiv · 2510.25949

Fractals as Sculptures

Şahin Koçak
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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.

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Şahin Koçak. 2025-10-29. Fractals as Sculptures. https://arxiv.org/abs/2510.25949

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