The Greeks, without ever having seen the earth from above, were able to calculate its diameter to an astonishingly close degree. (Https://en.wikipedia.org/wiki/Eratosthenes)
Math allows us to “come out of our current dimension.”
Frenchman Poincaré asked if we can not get from 3D to 4D in the same way and determine not only the size of the Earth but also that of the Universe – the “Poincaré conjecture.”
For over 100 years it was one of the toughest unsolved math problems that a Russian, Grigori Perelman, then solved.
He was offered a million dollars and the “Nobel Prize” for math.
He refused both. 👏😏