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， 我让他们为我制造三颗十二面体炸弹，颗按照我计划攻击的目标活动水平来定，另外两颗分别比这个数值高5%和低5%。

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，他个间隙都必须对应个柏拉图立体：四面体、立方体、面体、二十面体和十二面体。

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

而出现的个完美的十二面体，直径仅有11纳米。

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.

这之后被放置在个二十面体内，接着地球的轨道， 个十二面体，火星，个四面体， 木星，个立方体，最后土星。

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

它们个都这种压扁的立方体形状，并且它们四个非常完美地贴合在起， 形成了这种菱形十二面体。

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.

重要的那个常数不依赖于形状本身，它可以正方形， 也可以猫，还可以我们十二面体的五边形面，无论什么形状都行。

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.

有个非常棒的视频， 马特·帕克和亚当·萨维奇在视频中展示了个菱形十二面体，他们用这个形状构建了个美丽的灯箱， 展示了你可以使用这种形状来填充三维空间。

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， 这个形状的边长为，你将使用许多这样的形状来铺满个边长为整数的大型菱形十二面体。

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.

这个非常美丽且对称的形状，如果我把这个空心框架做成实心的，它有个特别的名字， 叫做菱形十二面体。