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Search for "Archimedes". Alternatively, use common sense - he was the one that invented it. See his scroll "On Spirals".
By definition of ; and over the complexes, : we have . Since , we can rewrite as with real x and real y and solve for y:
Where is the Lambert W function over the complexes. In other words, is the set of complexes whose radii and angles are one and the same in magnitude, and Archimedes' Spiral is represented algebraically by this function.
Andrew T Porter ( talk) 02:21, 18 April 2024 (UTC)
I am wondering about the arc length of the Archimedean spiral, in particular, at and . Why is there not a section about this? Is it which is OEIS: A233700? John W. Nicholson ( talk) 21:34, 10 March 2015 (UTC)
The point of Wikipedia is actually not to impress one's fellow fanboys. It is to provide knowledge to the world. (Note the appearance of the Wikipedia logo.) Articles such as this one, which could have the ability to educate the public, don't. Nor do they even try. Pity that Wikipedia does not attract editors who understand the gulf between their understanding and that of the masses, and attempt to do something about it. This "show-off for my bros" approach to writing for Wikipedia is not going to stand the test of time.-- 71.36.123.89 ( talk) 06:32, 22 October 2016 (UTC)
Concerning the function of the parameter a in formula for the Archimedes spiral, , the beginning of the article has this statement, "Changing the parameter a will turn the spiral, while b controls the distance between successive turnings." The second half is right but I don't think the first half is. Changing the parameter a does not turn the spiral; at least not if turning is understood as turning it around its axis which projects out of the plane. Changing the parameter a enlarges the "hole" in the middle of the spiral; that is, instead of starting at the origin when it starts at a distance a to the right of the origin. Perhaps the meaning of "turning the spiral" needs to be made more clear? Skinnerd ( talk) 02:40, 21 November 2018 (UTC)
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I don't know the "R" language, so I'm having difficulty telling what the code does. If it produces a simulated appearance of a curve by squishing a lot of dots together, or connecting the dots with short straight line segments, then I'm not sure it's worth including on the article. If it produces an actual curve (e.g. beziers of some kind), then maybe that should be stated... AnonMoos ( talk) 22:57, 25 November 2020 (UTC)
![]() | This article is rated C-class on Wikipedia's
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Daily pageviews of this article
A graph should have been displayed here but
graphs are temporarily disabled. Until they are enabled again, visit the interactive graph at
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This page has archives. Sections older than 60 days may be automatically archived by Lowercase sigmabot III when more than 5 sections are present. |
Search for "Archimedes". Alternatively, use common sense - he was the one that invented it. See his scroll "On Spirals".
By definition of ; and over the complexes, : we have . Since , we can rewrite as with real x and real y and solve for y:
Where is the Lambert W function over the complexes. In other words, is the set of complexes whose radii and angles are one and the same in magnitude, and Archimedes' Spiral is represented algebraically by this function.
Andrew T Porter ( talk) 02:21, 18 April 2024 (UTC)
I am wondering about the arc length of the Archimedean spiral, in particular, at and . Why is there not a section about this? Is it which is OEIS: A233700? John W. Nicholson ( talk) 21:34, 10 March 2015 (UTC)
The point of Wikipedia is actually not to impress one's fellow fanboys. It is to provide knowledge to the world. (Note the appearance of the Wikipedia logo.) Articles such as this one, which could have the ability to educate the public, don't. Nor do they even try. Pity that Wikipedia does not attract editors who understand the gulf between their understanding and that of the masses, and attempt to do something about it. This "show-off for my bros" approach to writing for Wikipedia is not going to stand the test of time.-- 71.36.123.89 ( talk) 06:32, 22 October 2016 (UTC)
Concerning the function of the parameter a in formula for the Archimedes spiral, , the beginning of the article has this statement, "Changing the parameter a will turn the spiral, while b controls the distance between successive turnings." The second half is right but I don't think the first half is. Changing the parameter a does not turn the spiral; at least not if turning is understood as turning it around its axis which projects out of the plane. Changing the parameter a enlarges the "hole" in the middle of the spiral; that is, instead of starting at the origin when it starts at a distance a to the right of the origin. Perhaps the meaning of "turning the spiral" needs to be made more clear? Skinnerd ( talk) 02:40, 21 November 2018 (UTC)
Hello fellow Wikipedians,
I have just modified 2 external links on Archimedean spiral. Please take a moment to review my edit. If you have any questions, or need the bot to ignore the links, or the page altogether, please visit this simple FaQ for additional information. I made the following changes:
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(last update: 5 June 2024).
Cheers.— InternetArchiveBot ( Report bug) 15:56, 8 July 2017 (UTC)
I don't know the "R" language, so I'm having difficulty telling what the code does. If it produces a simulated appearance of a curve by squishing a lot of dots together, or connecting the dots with short straight line segments, then I'm not sure it's worth including on the article. If it produces an actual curve (e.g. beziers of some kind), then maybe that should be stated... AnonMoos ( talk) 22:57, 25 November 2020 (UTC)