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Figure-8 Knot on the Cubic LatticeFigure-8 Knot on the Cubic Lattice
- Other Titles
- Figure-8 Knot on the Cubic Lattice
- Authors
- 오승상
- Issue Date
- 2008
- Publisher
- 호남수학회
- Keywords
- knot; stick number
- Citation
- 호남수학학술지, v.30, no.1, pp.165 - 170
- Indexed
- KCI
- Journal Title
- 호남수학학술지
- Volume
- 30
- Number
- 1
- Start Page
- 165
- End Page
- 170
- ISSN
- 1225-293X
- Abstract
- 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.
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