4 ms·
A video is worth a thousand words of theory: https://www.youtube.com/watch?v=-2jjgHsxEu4 https://www.youtube.com/watch?v=-2jjgHsxEu4
by anvandare 9y ago
A video is worth a thousand words of theory:
https://www.youtube.com/watch?v=-2jjgHsxEu4 https://www.youtube.com/watch?v=-2jjgHsxEu4
- jholman 9y agoThat was very good (thank you!), but it led me to this, which was even better: https://www.youtube.com/watch?v=rAHcZGjKVvg https://www.youtube.com/watch?v=rAHcZGjKVvg
- taneq 9y agoAfter watching the video, I feel like this follows intuitively from the fact that sqrt(2) > 1.
- cousin_it 9y agoThe biggest possible difference between Prince Rupert's cubes is 3%, which is much smaller than the difference between sqrt(2) and 1.
- a1369209993 9y agoFWIW, `(sqrt(2)-1)^3` is `0.071067831`, which while not equal to `(1.0606601-1)` is fairly close.
- deleted 9y ago[deleted]
- arturmakly 9y agodrop https://m.youtube.com/watch?v=lt-zvsGvtqg https://m.youtube.com/watch?v=lt-zvsGvtqg
- echelon 9y agoI wish more of mathematics was visual. That's the mode of thinking I employ the most, and I excel at spatial problems. I wish higher level mathematics and physics paid more attention to the use of visual schematics and diagrams. So much can be communicated with them. Words often pale in comparison.
- ttsda 9y agoI would like to recommend the 3b1b's[1] YouTube channel. His procedurally generated videos really make you think of certain math that looked unintuitive or hard to explain in a truly intuitive, visual way. His series on linear algebra was very eye opening to me, as well as many of his videos about subjects I was initially failing to understand. [1] https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw
- echelon 9y agoThanks so much for sharing! This looks fantastic.