FIGURE-8 KNOT ON THE CUBIC LATTICE

• Journal title : Honam Mathematical Journal
• Volume 30, Issue 1,  2008, pp.165-170
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2008.30.1.165
Title & Authors
FIGURE-8 KNOT ON THE CUBIC LATTICE
Oh, Seung-Sang;

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 $\small{3_1}$ and $\small{4_1}$ are known as 12 and 14, respectively. In this paper, we will show that only $\small{3_1}$ and $\small{4_1}$ have representations of irreducible non-trivial polygons, both numbers of whose sticks parallel to the y-axis and the z-axis are exactly four.
Keywords
knot;stick number;
Language
English
Cited by
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