We don't pay attention to them when they are going beyond three, but now we know we need that.

我们以前并没关注他们,对三维以上空间的研究,但是现在我们知道也需要关注那些东西

耶鲁公开课 - 基础物理课程节选

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