Lattice stick number sL (K) is defined to be the minimal number of sticks required to construct a polygonal representation of the knot K in the cubic lattice. In this paper, we give lattice stick numbers of small knots such as 31 and 41. More precisely we prove that s L(31) = 12 and sL(K) ≥ 14 for any other non-trivial knot K.
|Number of pages||9|
|Journal||Journal of Knot Theory and its Ramifications|
|Publication status||Published - 2005 Nov|
- Cubic lattice
- Stick number
ASJC Scopus subject areas
- Algebra and Number Theory