Well, math is created (or revealed) and used by humans, based upon initially upon our perceptions combined with reason (reason covering the areas we cannot perceive (think Plato’s cave)) and created a robust system which could then continue utilizing reason (as expressed in mathematical form) and sometimes verified or contrasted against perception.
So it would be interesting to compare mathematical reasoning with perception as one would be comparing perception that worked its way into a mature reasoning system (mathematics) against perception and naive/native/regular reasoning (observation).
‘ve starred and thought about tesseracts since my earliest computer days. [I created my first tesseract on my Tandy Color Computer 2 back in the mid 1980s as a young teenager, fascinated about higher dimensions. I had to “press a button” to move it in the next part of the rotation — it wasn’t smooth like you see now, but it was the same mathematically.. if limited to 16 colors and 320×200 TV resolution).
I’d dream at night of tesseracts in different rotations, putting myself in the place of the form.
Or if viewing the 4th dimension as Time, I try to imagine my life in all of my ages at once, the older and the younger and today intersecting simultaneously, superimposed in kind of a chinese/russian nesting dolls scenario. Sometimes I’d see other people that way.
They’re all mental tricks and I don’t know what they accomplish really, but I never stop being entertained by it when I think about it.