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There's a copyedit tag on the article, but it looks pretty good to me, I'm going to remove the tag. EvilPhoenix 19:18, Jun 1, 2005 (UTC)
Although it's topologically irrelevant, the image looks to me as if there were nearly two Reidemeister I moves applied to the orange loop. Of course the Whitehead link could also be archieved without any Reidemeister moves at all... -- Rubik's Cube ( talk) 00:15, 14 January 2008 (UTC)
- I'm not sure what you're trying to say. Do you have a question? -- C S ( talk) 10:00, 2 April 2008 (UTC)
Not sure Whitehead really "discovered" it; rather, he found its connections to deep mathematics... AnonMoos ( talk) 19:29, 2 April 2013 (UTC)
Flip the central crossing Columbus8myhw ( talk) 19:59, 10 November 2017 (UTC)
One sentence reads as follows:
"The Whitehead link complement is one of two two-cusped hyperbolic manifolds with the minimum possible volume, the other being the complement of the pretzel link with parameters (−2,3,8)."
In order for this to make any sense, it must be explained what "minimum possible volume" means. Minimum among what, exactly?
Minimum among all hyperbolic 3-manifolds? Among all orientable hyperbolic 3-manifolds? Among all orientable hyperbolic 3-manifolds that are knot complements? Among link complements? Etc. 50.205.142.35 ( talk) 15:28, 24 December 2019 (UTC)
If the figure is manipulated so that the 8-strand becomes a circle, what happens to the other? I did some doodling, and it appears that the other becomes an 8; hence, the two strands are equivalent. If this is confirmed by Reliable Sources it ought to be in the article.
Is there a neat form in which the two strands have the same shape? -- Tamfang ( talk) 17:27, 20 November 2021 (UTC)
- According to Cundy and Rollett's "Mathematical Models" (2nd. edition, 1961), p. 59: "It may not be immediately obvious without a model that the configuration is symmetrical in the two loops". -- AnonMoos ( talk) 04:59, 23 November 2021 (UTC)
- There's a symmetric view (under 180° rotation around an axis in the plane of the view) in Fig.22 of arXiv: 2001.01472v1, given as a visual proof of the statement that it is symmetric in this way. I've included a redrawn version of the image here. — David Eppstein ( talk) 06:44, 23 November 2021 (UTC)
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There's a copyedit tag on the article, but it looks pretty good to me, I'm going to remove the tag. EvilPhoenix 19:18, Jun 1, 2005 (UTC)
Although it's topologically irrelevant, the image looks to me as if there were nearly two Reidemeister I moves applied to the orange loop. Of course the Whitehead link could also be archieved without any Reidemeister moves at all... -- Rubik's Cube ( talk) 00:15, 14 January 2008 (UTC)
- I'm not sure what you're trying to say. Do you have a question? -- C S ( talk) 10:00, 2 April 2008 (UTC)
Not sure Whitehead really "discovered" it; rather, he found its connections to deep mathematics... AnonMoos ( talk) 19:29, 2 April 2013 (UTC)
Flip the central crossing Columbus8myhw ( talk) 19:59, 10 November 2017 (UTC)
One sentence reads as follows:
"The Whitehead link complement is one of two two-cusped hyperbolic manifolds with the minimum possible volume, the other being the complement of the pretzel link with parameters (−2,3,8)."
In order for this to make any sense, it must be explained what "minimum possible volume" means. Minimum among what, exactly?
Minimum among all hyperbolic 3-manifolds? Among all orientable hyperbolic 3-manifolds? Among all orientable hyperbolic 3-manifolds that are knot complements? Among link complements? Etc. 50.205.142.35 ( talk) 15:28, 24 December 2019 (UTC)
If the figure is manipulated so that the 8-strand becomes a circle, what happens to the other? I did some doodling, and it appears that the other becomes an 8; hence, the two strands are equivalent. If this is confirmed by Reliable Sources it ought to be in the article.
Is there a neat form in which the two strands have the same shape? -- Tamfang ( talk) 17:27, 20 November 2021 (UTC)
- According to Cundy and Rollett's "Mathematical Models" (2nd. edition, 1961), p. 59: "It may not be immediately obvious without a model that the configuration is symmetrical in the two loops". -- AnonMoos ( talk) 04:59, 23 November 2021 (UTC)
- There's a symmetric view (under 180° rotation around an axis in the plane of the view) in Fig.22 of arXiv: 2001.01472v1, given as a visual proof of the statement that it is symmetric in this way. I've included a redrawn version of the image here. — David Eppstein ( talk) 06:44, 23 November 2021 (UTC)