And what popped out was a perfect dodecahedron, only 11 nanometers across.

弹出的是完美的十二面体，只有 11 纳米。

Curious about the space between the planets, he hypothesized that each gap must correspond to one of the Platonic solids: the tetrahedron, cube, octahedron, icosahedron, and dodecahedron.

出于对行星之空的好奇，他假设每隙都必须对应拉图立体：四面体、立方体、八面体、二十面体和十二面体。

The significance was that  that constant didn't depend on the shape itself, it could have been a square, or a cat, or the  pentagonal faces of our dodecahedron, whatever.

重要的是，这常数并不取决于形状本身，它可能是正方形， 或者只猫，或者我们的十二面体的五边形面，等等。