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

弹出的是一个完美的十二，只有 11 纳米宽。

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，他假设每个隙都必须对应一个柏拉图立：四、立方、八、二十和十二。

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，这个常数并不取决于形状本身，它可能是一个正方形， 或者一只猫，或者我们的十二的五边形，等等。