as I have not received a post with your progress I suggest you refine the techniques you started to develop last semester: Sphere packing problem.
what i would like you to do is subdivide the space between the sphere in the sphere with even mor spheres in a recursive fashion as indicated in the images below
the math behind it is very interesting
and will lead to interesting subdivision of spaces and surface conditions as well when applied on the Hypersphere
all images are from a paper by Neil Katz
That I can provide you with on Wednesday
Apply this technique RIGOROUSLY ta achieve the desired effect.
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