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I don't inderstand what is meant by represents a square with a dot in the center and all other dots surrounding the center dot equidistantly.
I picture like what is shown in figurate numbers would be useful.
--- User:Karl Palmen 16 June 2004
* * * * *** *** *** * ***** ***** *** ******* * ***** *** *
I've added the diagram to the main page. One can replace it with a better diagaram later if you want.
I don't regard represents a square with a dot in the center and all other dots surrounding the center dot equidistantly as a correct desription. Surely this would describe
* * * * * * * *** * * * * * * * * * * * * * * *
where the applicable distances are the square roots of 0,1,2,4,5, etc.
--- User:Karl Palmen 18 June 2004
I've corrected the description and made use of the concept of taxicab geometry in so doing
distance = abs(x+y)
rather than
distance = sqrt(x^2+y^2)
Now I've thought of a diagram that shows the (x-1)^2 + x^2 formula. I'll put these in and correct the formulae.
--- User:Karl Palmen 21 June 2004
Well, there's some references added to the page now, but there's still a lack of context to the page. There is no explanation of what this term is used for, who uses it, or what it means. IOW, even assuming they left this article knowing what it is, I think the casual reader would still be left wondering what to do with it. I certainly don't. Nor since it was mentioned, do I consider the articles for Figurate number or Centered polygonal number to be especially enlightening. I'm not seeing any clear explanation of what this is used for, and I'm not sure that either of those two give a clear enough explanation. (I might even say that figurate number's sections on square roots are a bit too textbook like for that matter). Glad somebody added some references though. FrozenPurpleCube 18:24, 29 July 2007 (UTC)
I've rewritten the lead paragraph and made some general tweaks to the article in an attempt to make it more understandable to people unfamiliar with the field. I would very much welcome any feedback on the changes, as well as any improvements you can think of. In the end, I'm not sure how much more context one can really provide: basically, they're just a bunch of numbers that someone has seen fit to define and name. There really isn't anything more to it than that. — Ilmari Karonen ( talk) 00:37, 31 July 2007 (UTC)
@ Steelpillow ( talk · contribs): In Centered square number:
"Centered square numbers, highlighted in red, are in found in the center of odd rows of Floyd's triangle -- taking 25 as an example, it is the sum of a 16 (yellow rhombus formed by shearing a square) and the next smaller square, 9 (sum of blue triangles)."
"Another way the centered square numbers can be expressed are [...]."
In advance, thank you very much for your answers! -- JavBol ( talk) 18:01, 2 December 2021 (UTC)
This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | |||||||||||
|
I don't inderstand what is meant by represents a square with a dot in the center and all other dots surrounding the center dot equidistantly.
I picture like what is shown in figurate numbers would be useful.
--- User:Karl Palmen 16 June 2004
* * * * *** *** *** * ***** ***** *** ******* * ***** *** *
I've added the diagram to the main page. One can replace it with a better diagaram later if you want.
I don't regard represents a square with a dot in the center and all other dots surrounding the center dot equidistantly as a correct desription. Surely this would describe
* * * * * * * *** * * * * * * * * * * * * * * *
where the applicable distances are the square roots of 0,1,2,4,5, etc.
--- User:Karl Palmen 18 June 2004
I've corrected the description and made use of the concept of taxicab geometry in so doing
distance = abs(x+y)
rather than
distance = sqrt(x^2+y^2)
Now I've thought of a diagram that shows the (x-1)^2 + x^2 formula. I'll put these in and correct the formulae.
--- User:Karl Palmen 21 June 2004
Well, there's some references added to the page now, but there's still a lack of context to the page. There is no explanation of what this term is used for, who uses it, or what it means. IOW, even assuming they left this article knowing what it is, I think the casual reader would still be left wondering what to do with it. I certainly don't. Nor since it was mentioned, do I consider the articles for Figurate number or Centered polygonal number to be especially enlightening. I'm not seeing any clear explanation of what this is used for, and I'm not sure that either of those two give a clear enough explanation. (I might even say that figurate number's sections on square roots are a bit too textbook like for that matter). Glad somebody added some references though. FrozenPurpleCube 18:24, 29 July 2007 (UTC)
I've rewritten the lead paragraph and made some general tweaks to the article in an attempt to make it more understandable to people unfamiliar with the field. I would very much welcome any feedback on the changes, as well as any improvements you can think of. In the end, I'm not sure how much more context one can really provide: basically, they're just a bunch of numbers that someone has seen fit to define and name. There really isn't anything more to it than that. — Ilmari Karonen ( talk) 00:37, 31 July 2007 (UTC)
@ Steelpillow ( talk · contribs): In Centered square number:
"Centered square numbers, highlighted in red, are in found in the center of odd rows of Floyd's triangle -- taking 25 as an example, it is the sum of a 16 (yellow rhombus formed by shearing a square) and the next smaller square, 9 (sum of blue triangles)."
"Another way the centered square numbers can be expressed are [...]."
In advance, thank you very much for your answers! -- JavBol ( talk) 18:01, 2 December 2021 (UTC)