Discretize a volume into smaller known volume sizes

Hello guys,

I have a simple shape at my disposal, and I would like to know how to discretize it. For example if I have a sphere of say 1m diameter, I would like to obtain n number of smaller spheres of a diameter of 10mm and know where they are located in space.

If my sphere is located at [0, 0, 0], then it will obviously extend to 0.5m in each direction. What I want to obtain is smaller spheres that will take up the space of the big one, and have coordinates for each of the smaller spheres.

I am using Simmechanics

Any help?

Answer 1

[Walter Roberson]

It can be demonstrated that you would require an infinite number of smaller spheres with an infinite number of sizes in order to fill the larger sphere.

https://en.wikipedia.org/wiki/Sphere_packing