niai

I understand what you mean, I used to have similar thoughts, that the 'secret', if you will, of life is hidden in this infinite going up or down the scale, however... As far as I know, the universe is discrete, meaning that you cannot look closer and closer and see smaller and smaller particles infinitely, the process has an ending. Keep in mind, I can't tell you what goes on on a subatomic level (I didn't find physics interesting, when I had time to study, shame on me), because I fear what I know (or think I know) may be old and incorrect information, but still... I'd say think about this. Do you really have any evidence that everything is made up of smaller particles? Even if it were so, is there any indication that the scaling can go infinitely in the opposite direction?

In the terms of the person asking, with one axis giving us two directions, in the three-dimensional vector space there would be... I am not sure, either six or more likely an infinite number of directions, as each vector defines a direction in the space. If you don't insist on infinity, a simple example is the 3-d Boolean cube - the (0, 0, 0), (0, 0, 1) and so on up to (1, 1, 1) vectors are "written" on the vertices of a cube in a specific order (well, partial order), so from one vertex you have three choices about the direction.