The artists and the dreamer knows that space is where an image grows. For me it's a sea in which I swim a formless sea of hope and whim. Thru my fear of Infinity and One I structure space to confine my imagination away from the idea that all is One. I can dare to let go the structures and my fears and look beyond to see what is there to see. But, to let go, I must first grab on.
Geometry is both the grabbing on and the letting go.
It is formal abstractions and beautiful contraptions. It is talking precisely about that which we know only fuzzily. There are two kinds of mistakes.