I would be very interested to learn how that manifested if you are of a mind to share it. I think I may project the same.

My father was an incredible mathematician, but seemingly had issue with very simple 'common sense'. For example, he would watch TV with a remote control, but would keep the remote control on top of the TV. If he needed to change channel, he would get up and walk over to the TV, pick up the remote, use it, and put it back on the TV and go sit down. Other simple things, that most of us can figure out quite easily, seemed to escape him. But he could teach advanced calculus like a master. He was also a communications expert in the military speaking multiple languages, and he would have no accent when speaking a non-native language.

Sounds like your father matches my personality, and you more match my father's.