Talk:Circle packing

Disambiguation with circle packing theorem
Don't delete: Created as a disambiguation page. OdedSchramm 14:25, 11 April 2008 (UTC)

Triangular vs. Hexagonal
It seems that this article is not consistent about usage of "hexagonal" vs "triangular" in close packing. Some figure captions contradict other figures. --141.212.133.16 (talk) 20:31, 26 August 2015 (UTC)

Error in formula?
If I'm not mistaken, the formula


 * $$\eta_h = \frac{\pi}{2\sqrt{3}} \approx 0.9069.$$

is not correct. Shouldn't that be:


 * $$\eta_h = \frac{\pi\sqrt{3}}{6} \approx 0.9069.$$

It appears that the approximation is correct, but the that the formula is that for the optimal packing of spheres. — Preceding unsigned comment added by 199.87.198.34 (talk) 19:20, 18 February 2018 (UTC)

No error, just silliness
There are at least two different arrangements of the solution to close packing of circles on this page, and the commenter above seems to have contributed to the confusion. There's no approximation involved here, just different (weird) simplifications.


 * $$\frac{\pi}{2\sqrt{3}} = \frac{\pi}{\sqrt{12}} = \frac{\pi\sqrt{3}}{6} \approx 0.9069.$$

These are all the same! Please choose one for the discussion under "Packings in the plane," instead of restating the same fraction in different ways. I suggest the first one. — Preceding unsigned comment added by 132.183.13.29 (talk) 02:48, 7 December 2019 (UTC)

What is this called?
1 center circle ringed by 6, then those now 7 center circles fenced in by 9 around the border, then those 16 ringed by 18, then those 34 ringed by 24, then those 58 ringed by ---,...  This 2D hexagonal circle packing ratio/equation must have a name as well as versions for 3D and higher. Please link to it here and/or try to include some of it on these "packing" pages. Thanks in advance. ~  JasonCarswell   (talk)   21:27, 28 August 2018 (UTC)

Packing ratio table
It may be helpful if there was a table of the calculated packing densities for the various arrangements after the formulae.

Thanks, Jerryjoynson (talk) 09:12, 26 January 2019 (UTC)

svg of "η = Ahc..." is not all visible, latter part missing, in firefox/android...
The equation is nonsensical, as displayed ( you can't have something multiplying the square-root of nothing! ), and I got the idea that maybe this is an image of an equation, ... so tried opening it up in a different tab, and yes, it definitely was much longer than what it was, in-page.

That is a *bad* problem, because it proves that part-of-equation *can* be non-displayed for all SVG equations on this site, without any indication to either wikipedia.org or the student, that this is going on.

I know there is a LaTeX math system ( or *something* weird ) for encoding math on this site, and it may be a requirement ( for integrity of communication ) that *all* equations in SVG be converted to that, to prevent the category of disinformation I noticed being hit by...

This is just an fyi, I'm in Firefox Daylight, 100.1.2, in a Samsung tablet, the browser is in mobile-mode, not the arbitrary desktop ( toggled per tab ) mode. 66.171.48.141 (talk) 06:26, 16 May 2022 (UTC)