POV-Ray : Newsgroups : povray.newusers : Stacking stones without overlapping : Re: Stacking stones without overlapping Server Time
15 Jun 2024 11:07:20 EDT (-0400)
  Re: Stacking stones without overlapping  
From: Ari
Date: 25 Jul 2017 14:40:01
Message: <web.59778f91d8d105e99d2528170@news.povray.org>
"Bald Eagle" <cre### [at] netscapenet> wrote:
> Amidst the chaos of RL, (I moved over the weekend) I managed to work out a
> reliable placement of a sphere tangent to all 4 faces of any irregular
> tetrahedron.
> I worked out some macros to generate the determinant of a 4x4 matrix, based on
> the Laplace expansion, or expansion by minors, but for whatever reason that
> didn't play nicely with my tetrahedra.
> I might have to shovel a lot of output to the debug stream and work out a smaple
> problem by hand to see if there's a bug somewhere.
>
> I modified some code from John Burkardt, and that seemed to work, so ...
>
>
> It's immediately apparent that there will be large gaps between such spheres in
> a random tetrahedral "mesh", and these guys have done some work on that next
> step:
>
http://www.afhalifax.ca/magazine/wp-content/sciences/EmpilementDeDisques/ProducingPacking/Initialization.pdf
>
> certainly one can see how the Delaunay-optimized triangles make the incircles
> pack much more nicely, so that's a fairly important first-step to filling space
> by this method.
>
> Wondering how Ari's doing....    :D

Hi, guys! Haven't been here for a while because I am trying to find a way which
I could 'understand'.(I have found a lot of research papers on this topic but
none of them are comprehensible for me) Therefore, I ended up finish my project
*in a very simple way*. Just make random spheres and test with distance
equation. And that's it. :(
http://i.imgur.com/xH64ud9.jpg
*Dawn it! I hope I can find a way to improve the code so that they won't float*


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