Figure-8 Knot on the Cubic Lattice

초록

Abstract. We will examine the stick number of knots on the cubic lattice which is called the lattice stick number. The lattice stick numbers of knots 3₁and 4₁are known as 12 and 14, respectively. In this paper, we will show that only 31 and 41 have representations of irreducible non-trivial polygons, both numbers of whose sticks parallel to the y-axis and the z-axis are exactly four.

키워드