Knots Inside Fractals

Autor: Broden, Joshua, Espinosa, Malors, Nazareth, Noah, Voth, Niko
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 14 pages
Databáze: arXiv