The arrangement of physical matter is driven by the requirement to conserve energy, to maintain a state that costs the least amount of energy.
The patterns in nature that we resonate to - that are "pleasing" to us,
may very well be optimized arrangements of physical matter with ideal
energy configurations.
Geometric structures may perhaps be optimal configurations for the distribution of energy and matter that do not ever actually exist exactly in nature.
Mental structures, too, may follow energy conservation principles.
Energy conservation in a physical world of patterned matter.
Nature is efficient.