packing equally sized spheres within a volume/geometry

Replies to This Discussion

Permalink Reply by Ludwigh on April 11, 2016 at 9:49am

Have you tried kangaroo sphere packing?

http://www.grasshopper3d.com/group/kangaroo/forum/topics/circle-pak...

Permalink Reply by Purva joshi on April 11, 2016 at 9:51am

Heyy
Thank k you for your reply.
I haven't tried it.
Will it let me keep the position of the spheres definite? They cannot be random.

Permalink Reply by Ludwigh on April 11, 2016 at 10:00am

Will it be just a mathematical problem?

The raidus of your sphere just need to be the half of the length of one edge of your equilateral triangle?

Permalink Reply by Purva joshi on April 11, 2016 at 10:03am

Yes. Radius = side of triangle/2

Permalink Reply by Nik Willmore on April 11, 2016 at 10:38pm

 You realize right that you cannot do this without falling to touch the enclosing surface except in a very few if any points? To generate a fill, first create a 3D packing larger than the enclosure and test for location inside or not to delete outliers.  If you use lots of tiny balls, it will well approximate the volume but big balls will not fit well unless you perfectly tweak your volume to match their unit size packing.

So, how to create a big array of balls? I'm on an iPhone, sorry, but a unit cell you could make by manually placing balls at the vertices of an arrangement of tetrahedra and octahedra, placed in a cube and cut with it:

After stacking these you'd join the surfaces.

Permalink Reply by Purva joshi on April 11, 2016 at 10:48pm

Thank you so much.
I will try this out and let you know if it succeeded.

Permalink Reply by Nik Willmore on April 12, 2016 at 6:11pm

 Ran into this today, too, "voxelization":

https://www.youtube.com/watch?v=FP9k_WWcy0g&list=PLXekJiZsSipAk...