Let us use a little math related concepts to define course dimensionality.
To keep this simple to begin with, let us just use 4 dimensions. length, width, vertical, and wind related.
Our first axiom will be that a huge number of courses in the US are one dimensional. By that I mean that their fairways are narrow giving us nothing to speak of in the width dimension, they are soft giving us nothing to speak of in the vertical dimension (shots must be hit high, little ground game), and they are mostly windless.
When the fairways are widened and options opened up (often with line of instinct hazards) the courses become two dimensional.
When, in addition, the ground is maintained fast and firm the courses become three dimensional.
When, in addition, there is wind to play with your ball, the courses become four dimensional.
No wonder Sand Hills jumped to the top of the modern list!
Thoughts?