I am into sacred geometry. There is definitely a connection. Basically, the way it "works" is that everything is sacred geometry within sacred geometries within more sacred geometries. Even the structure of an atom is essentially the basic "platonic solids" built in layers around each other like a russian nesting doll. There is really nothing except these vibrating structures in a sea of intangible dark matter. This is why we can perceive as wave or particle depending on how we observe... because they are basically the same thing... when we observe a particle we are observing a "point" of the geometric "structure" (using the word loosely as it is basically a vibrational pattern flowing through what we perceive as negative space) but when we observe it as a wave, we are simply measuring the vibration itself. When you insist on pinning down something you can't see, you're likely to do it incompletely, lol. It's not that it "can" be a wave or a particle depending on how we observe it so much as it's actually both at once and how we perceive it is a product of how we choose observe it.
...but I digress.
The point I wanted to make was, I think you're onto something, and it's actually a great idea. If for no other reason than maximizing potential within a given space. Lots of things in nature are made up of sacred geometry (well, everything is, but certain things show it really obviously... like the pattern of a honeycomb... that distribution of tightly arranged circles (flower of life pattern) is the same way cells manifest and collect to form what we perceive as organic matter on a much smaller scale, for instance. It's inherently present in nature, (hell, it basically IS nature) and all of the best inventions by man are essentially forms of nature-mimicking--of recognizing the sacred geometrical patterns that allow physical manifestations and biological machines to work in harmony with themselves, and to make an effort to recreate that... rather than to self-contradict and create resistance against one's own structure, sacred geometry allows structures to be designed in a way that energy/tension/et cetera will be distributed throughout the whole and therefore create harmonic alignment that allows smoother performance.
So yeah, I support your idea! Any design of any man-made item will be greatly benefited by studying sacred geometry!!