To me, the real problem of architecture is taking the grand concepts and making them really work. At some point, you have to turn the idea of suggesting but not dictating a slight draw on a tee shot (as an example) into;
Where the hazard (often a tree) ought to be (usually 70% of drive distance, at apex of both height and curvature)
How steep should a green be to hold a shot, or be gently rolling, without being too steep (1.3% up slope, and in my mind 2.25% for greens 10 and under)
How big should the green be, given the approach shot, number of pin locations required, etc.
How wide is a wide fairway?
And of course, the infrastructure, such as
Establish "Good drainage" which requires some engineering of drain pipes, slopes etc.
Figuring out the balance of handy vs. hidden when laying out cart paths.
Short version, everything eventually has to get converted to a slope, dimension, etc., even if not a precise one where a quarter inch off can mean a very cold building in winter. And, no one told me there would be math!
