If the galaxy is surrounded by a sphere then surely there'd be 12 holes, since 12 spheres can touch the surface of a sphere. 6 circles can touch the edge of a circle but a circle is 1 dimensional (and lies in a 2d plane), which the galaxy's halo, by your own posts, is not.
Define 'Planck material'. Give me its mass and quantum numbers under the Standard Model. Give me interaction cross sections between it and things we can measure. Give me the properties of any bound states it might form and how we can measure it. If you can't do that you have nothing.
The icosahedron is not uniform in its distribution, and the collapse of matter into it does not scale up uniformly. by the time you scale up to a Galaxy it appears to have strayed into 2D. I wish I had a powerful enough computer to test it, or the knowhow, but just by looking at a Galaxy I can see that it has strayed into 2D. You know when you look at a TV image made from a few dots, and you can see a man walking around, and dancing. I can do that with most of the matter in the Universe. I can imagine how the kissing problem becomes weaker in certain directions. Balancing solid sphere, on top of constructed Icosahedron has to pop just the outer edges eventually. Otherwise the Galaxy would have material coming in from 12 directions, and a Galaxy would be spherical. After a Galaxy maybe there are no more holes.
I'm sorry that I have to go by my eyes in this case, but the number of Galaxies sure makes it a clear conclusion.
To get the start size of the smallest matter would be just to run a computer program that starts with the kissing problem, and run it until it creates a genuine atom structure. You would then have all of the sizes of matter that create the universe. You could figure out what they do. Unfortunately, I don't have a powerful enough computer to do it. I would also need a lot of help with the known energy levels, and values available. I would have to guess the braking point of the smallest particle (by breaking I mean collapse to Black Hole), and then rescale the whole system when we reach a known value like the atom.
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