your treatise is interesting. I visualize resolutions being a ratio between w/h, therefore if
q= w/h
then
1024x768 and
2048x1536
would have the same q value
now imagine smart phones which are tall and skinny, the ratio would be < 1.0
if you were to swing a 1-length vector anchored on upper-left and sloping down and left at 45 deg. (equal width and height), any angle above (less than 45 degrees) = wide and anything below= tall, then you have a number value that might be usable in presentation calculations - I don't know how but just a thought, and also a way to categorize these values.
Any I'd enjoy hearing your thoughts on this and a copy of your PhD thesis too 🙂
Best,
Samuel Fullman