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

而出现的则是一个的二面，直径仅有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.

出于对行星之间空间的好奇，他假设每个间隙都必须对应一个柏拉图立：四面、立方、八面、二面二面。

Each of them is this kind of squished cube shape, and the four of them together fit very nicely to create this rhombic dodecahedron.

它们每一个都是种压扁的立方形状，并且它们四个非地贴合在一起， 形成了种菱形二面。

This in its turn was placed inside an icosahedron, then followed the orbit of Earth, a dodecahedron, Mars, a tetrahedron, Jupiter, a cube, and finally Saturn.

之后被放置在一个二面内，接着是地球的轨道， 一个二面，火星，一个四面， 木星，一个立方，最后是土星。

It's this very beautiful and symmetric shape, and if instead of the wire frame I make it solid, this has a special name, it's called a rhombic dodecahedron.

是一个非丽且对称的形状，如果我把个空心框架做成实心的，它有一个特别的名字， 叫做菱形二面。

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.

重要的是那个数不依赖于形状本身，它可以是正方形， 也可以是猫，还可以是我们二面的五边形面，无论什么形状都行。

Then I have them make me three duodec bombs, one on the mark of the activity I'm figuring on shooting at, and one each 5% over and under that figure.

于是， 我让他们为我制造三颗二面炸弹，一颗按照我计划攻击的目标活动水平来设定，另外两颗则分别比个数值高5%低5%。

You say, imagine this has a side length of one, and you're going to use many copies of this shape to tile a big rhombic dodecahedron with some kind of integer side length.

你说， 假设个形状的边长为一，你将使用许多样的形状来铺满一个边长为整数的大型菱形二面。

There's a really nice video with Matt Parker and Adam Savage featuring a rhombic dodecahedron, where they construct this beautiful lightbox that features the fact that you can tessellate 3-dimensional space using this shape.

有一个非棒的视频， 马特·帕克亚当·萨维奇在视频中展示了一个菱形二面，他们用个形状构建了一个丽的灯箱， 展示了你可以使用种形状来填充三维空间。