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Knots Inside Fractals
- Publication Year :
- 2024
-
Abstract
- We prove that all knots can be embedded into the Menger Sponge fractal. We prove that all Pretzel knots can be embedded into the Sierpinski Tetrahedron. Then we compare the number of iterations of each of these fractals needed to produce a given knot as a mean to compare the complexity of the two fractals.<br />Comment: 14 pages
- Subjects :
- Mathematics - Geometric Topology
Mathematics - General Topology
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2409.03639
- Document Type :
- Working Paper