Minimal knotting numbers
This article concerns the minimal knotting number for several types of lattices, including the face-centered cubic lattice (fcc), two variations of the body-centered cubic lattice (bcc-14 and bcc-8), and simple-hexagonal lattices (sh). We find, through the use of a computer algorithm, that the minimal knotting number in sh is 20, in fcc is 15, in bcc-14 is 13, and bcc-8 is 18. © 2009 World Scientific Publishing Company.
Journal of Knot Theory and its Ramifications
Mann, C., McLoud-Mann, J., Ranalli, R., Smith, N., & McCarty, B. (2009). Minimal knotting numbers. Journal of Knot Theory and its Ramifications, 18 (8), 1159-1173. https://doi.org/10.1142/S0218216509007373