A good chunk of this comes directly from Richard Hamming's incredible The Art of doing Science and Engineering (a video of the specific lecture on n-dimensional spaces can be found here[0]) and yet I see no mention of this talk anywhere in the article, which is unfortunate.
I highly recommend checking out Hamming's lectures if you find this enjoyable.
I highly recommend checking out Hamming's lectures if you find this enjoyable.
0. https://www.youtube.com/watch?v=uU_Q2a0S0zI