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The picture of "the Ochiai unknot" is not the unknot that took a long time for a computer to untangle. Ochiai has designed a number of of difficult unknots, and the pictured one is reportedly in his textbook about computational knot theory [1].
The paper by Andrew, Kavraki, Lydia [2] (cited in the article) cites the paper by Grzeszczuk, Huang, and Kauffman [3]. They show their unknot on page 271, figure 10, and it is obviously more complicated. They cite Ochiai's paper [4], but unfortunately they do not specify which of the three knots it is. It appears to be the knot in figure 3.
I will move the image to unknot and add these citations. I will leave it for later or someone else to verify that figure 3 of Ochiai's paper is the unknot from Grzeszczuk, Huang, and Kauffman and redraw it for Wikipedia. — Preceding unsigned comment added by Kmill ( talk • contribs) 21:53, 10 November 2017 (UTC)
References
This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||||||||||||||||||||
|
The picture of "the Ochiai unknot" is not the unknot that took a long time for a computer to untangle. Ochiai has designed a number of of difficult unknots, and the pictured one is reportedly in his textbook about computational knot theory [1].
The paper by Andrew, Kavraki, Lydia [2] (cited in the article) cites the paper by Grzeszczuk, Huang, and Kauffman [3]. They show their unknot on page 271, figure 10, and it is obviously more complicated. They cite Ochiai's paper [4], but unfortunately they do not specify which of the three knots it is. It appears to be the knot in figure 3.
I will move the image to unknot and add these citations. I will leave it for later or someone else to verify that figure 3 of Ochiai's paper is the unknot from Grzeszczuk, Huang, and Kauffman and redraw it for Wikipedia. — Preceding unsigned comment added by Kmill ( talk • contribs) 21:53, 10 November 2017 (UTC)
References