Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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FIGURE-8 KNOT ON THE CUBIC LATTICE

  • Received : 2008.02.27
  • Accepted : 2008.03.03
  • Published : 2008.03.25
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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 $3_1$ and $4_1$ are known as 12 and 14, respectively. In this paper, we will show that only $3_1$ and $4_1$ have representations of irreducible non-trivial polygons, both numbers of whose sticks parallel to the y-axis and the z-axis are exactly four.

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References

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