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One cannot intuitively think about higher than 3 dimensions. Even for most their intuition is often wrong in 3D space. It's quite accurate for 1D and 2D. Richa
by bgnn 2y ago
One cannot intuitively think about higher than 3 dimensions. Even for most their intuition is often wrong in 3D space. It's quite accurate for 1D and 2D.
Richard Hamming has a whole section lecture to make everyone realize precisely this [1]. This was an eye opener to me.
https://www.youtube.com/watch?v=uU_Q2a0S0zI https://www.youtube.com/watch?v=uU_Q2a0S0zI
- klodolph 2y agoEhh… you can intuitively think about it. Intuition is something you develop with time as you gain familiarity with a subject. You just can’t bring all of your intuitions about 3D space into higher-dimensional spaces.
- bgnn 2y agoI gather you didn't check the lecture out. Yeah, this is hacker news.
- klodolph 2y agoI have seen the lecture before. Or, parts of it. I took many classes in school where we worked with higher dimensional spaces. You wouldn’t send a physics major a lecture on physics, say it was “eye opening”, and expect them to feel the same way about it. It is stuff they have already seen before. Maybe their eyes are already open. To be honest it’s kind of rude.