There's only one occasion where it helps to go to three dimensions because there are certain things you can do in 3D you cannot do in less than 3D.

只有一种情况下进入三维是有意义的,因为有些事情你能在三维空间内完成,但低于三维就做不到了

耶鲁公开课 - 基础物理课程节选

So that you take every sodium and you count all of its nearest neighbors, next nearest neighbors, next next nearest neighbors, not only on a line but in the plane and above and below in all three dimensions and go through that calculation, it is even more negative.

你考虑到每一个钠原子,你要考虑到它最近的原子，第二近的原子，第三近的原子，不是在一条线而是在一个面上,以及面上与面下的三维空间,再完成计算，这将会更负。

麻省理工公开课 - 固态化学导论课程节选

I may not want to do the full range of this, but I may decide I have to use a lot of gigabytes of space in order to do a trade off.

哈希成一个整数，我不想完整的去做这件事，但是我可以想像我需要用许多G的空间,去完成空间和时间之间的权衡。

麻省理工公开课 - 计算机科学及编程导论课程节选