the act of dissecting space is a spiritual process rather than a mechanistic/physical one. our external structures must exist in harmony with our internal (non-physical) ones. mathematics understood this a long time ago (perhaps, as soon as the concept of zero; in that it is not necessary to think in terms of materiality in order to understand the material world). the question is no longer one of simply describing the world, in totality, it is how we find ourselves able to describe the fundamental parts of it using mathematics that are nothing but groups of symbols.
therefore we must question that what we understand to be harmony in the physical world, is not necessarily a true, non-reductible concept.