Very interesting, Ankle Biter. These days, after years of meditating, I normally start my meditating in what may be practically the same way as you. I like to briefly "anchor" or "ground" myself first, which involves very mindfully becoming aware usually of what sensations my bottom is feeling and where my body's currently located in the room. I also very briefly throw a little energy out from solar plexus to the ceiling and the floor and then back into my body. I also usually very briefly focus on my breath or specifically, like you, on some nearby object or location. I do all this quickly, so it takes well under a minute to do.
You would probably know that in ancient China (and also Japan) the primary concept, underlying all others, was of the universe always being in a state of perfect balance and ultimately harmony, beautiful, intertwined harmony, and including aspects of reality which were at the present given moment undifferentiated. Everything-ness as nothingness. Your post suggests that you tune into something like that too.
I don't know if you additionally always "tune in" to some aspect of mathematical beauty. Yes, I'm also familiar with the little-known fact that mathematics can be experienced and treated as an art form and even in some major respects as the greatest art form of all -- but try to tell a maths class in early high school that! These days, in meditation I tend to just dwell in emptiness, but also to face and smooth out whatever issues from my daily life are coming, because I want meditation to help me get my life more right as well.