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arXiv · 2609.24545

Knots and the Sierpinski Tetrahedron

Malors Espinosa
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Abstract

In this paper we prove that there are infinitely many knots that cannot be embedded in the 1-skeletons of the finite iterations of the Sierpinski tetrahedron fractal. We do this by proving that such an embedding induces a sphere decomposition of weight at most 6. There are infinitely many knots with spherewidth greater than this.

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Malors Espinosa. 2026-09-21. Knots and the Sierpinski Tetrahedron. https://arxiv.org/abs/2609.24545

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