Knots Inside Fractals

Experimental Mathematics 2026 Open access

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Authors: Joshua Broden, Malors Espinosa, Noah Nazareth, Niko Voth
DOI: 10.1080/10586458.2026.2615948
Cited by: 0
References: 9

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.

Fields of Study & Subjects

Music Technology and Sound Studies

Publication details

Journal / source
Experimental Mathematics
Publisher
Informa UK Limited
Pages
1–19
Publication date
21 April 2026
Language
EN