If we then invert this, the natural initial "motion" can be seen in dual form (an exterior view would be imaginary as nothing would exist outside this and hence it would truly exist as an unbounded and timeless space of all possible experiences, but it can be useful to construct correlations with it in the context of a point being replicated or unfolding in space - and it would be a fundamental quanta in this context).
But anyway, this natural initial motion can be seen in many contexts as a splitting/bifurcation/outward motion/compression between objects/mixing, but it's fundamentally the initial transition from a single timeless instance into a change that allows an initial dual contrast and possesses a new attribute of change/difference/contrast.
If we recursively apply this process we can either see it incrementing by 1, if we apply it to the "head" of this sequence or as bifurcating layers growing as powers of 2 (dividing cells). If we apply this slightly differently between 2 adjacent layers we get a Fibonacci/phi/golden mean structure. If we continually loop a linear growth back to the origin we get polygonal forms approaching a circle and there are ways of interpreting these as waveforms or sounds.
It's interesting to see correlations in this sequence with birth and life as well. Anyway, I'm still drifting a bit here, but yes, we could consider a quantity of 3 to be a secondarily derived "structure" and not the primary division into 2 and from there we would only have powers of 2 if we constantly remained on a bifurcating shell expanding outward, whereas 3 way symmetries require that we make a connection between two adjacent layers and this form of construction adds new characteristics of growth (we can either get Fibonnaci or (2^n)-1 (associated with Mersenne primes) forms).
There are characteristics of this as well that, depending upon which form of connections are spanned across these layers we can have effects much like reverberations to a sound (echoes within a fixed form).
Basically though it's a lot like how binary numbers are represented as powers of 2 and summed together to make numbers that are non-powers of 2. When this is done, the logarithms of these relatively prime components create irrational ratios and none of these spaces can be described precisely (unless we use approximations over a limit approaching infinity) by other spaces and I believe this is similar to how perceptions exist - no quantity of a visual experience would ever be able to precisely convey the quality of hearing a sound, though these disparate spaces are still linked via a common origin (which is not any specific perception but appears likely to be the lack of any perception - the mind appears to transition through such a state when connecting different perceptual forms together).
... hmmm ... yes, it's a lot of stuff to pack into a little post, and I appear to have a habit of "killing threads" with my posts as well

, so I better stop, but thanks for the comments and ideas. Your comment there just "hit home" with what I happened to be working on that the moment too
Have fun,
Steve