Akinbo,
Hi. I've thought about that idea about how can a sphere touch other spheres or be flexible if it has no parts, and I think if a sphere is compressed in shape on one side and not on the other, it's not because the sphere has multiple parts. The surface of the sphere acts as a single, whole unit, and the different areas of compression aren't happening to different parts of the sphere, they're happening to the whole unit of the sphere as a single whole. The problem I had when first thinking about this question I think relates to the idea that when visualizing a sphere in the mind's eye, it has finite size (within the mind's eye) and thus based on human experience, it seems obvious that it should be able to be subdivided. We're just not used to visualizing things that are not further divisible.
I doubt this explanation is very useful, but that's how I've thought about it.
Hope you had a good beer! They make a good beer in my hometown of Kalamazoo, Michigan in the US called Bell's beer.
See you.
Roger