Silica structure is based on a tetrahedral arrangement of a silica atom bonded to oxygen atoms.

它的基本结构是由个硅原子与四个氧原子成键，构成个四面体。

On a chemical level, a diamond is just a bunch of carbon atoms bonded together in tetrahedrons.

从化学角度来看，钻石是堆碳原子紧密结合成的四面体结构晶体。

The universe. Tetrahedrons. Japan. Harry Connick Jr. You know?

宇宙。四面体。日本。哈里·康尼克·小。你懂的？

Phosphate is made up of one central phosphorus atom surrounded by four oxygen atoms in a tetrahedral arrangement, like a mini pyramid, and has a charge of minus 3 and is written PO43-.

磷酸盐由个心的磷原子和四个氧原子组成，呈四面体结构，像个小金字塔，电荷为-3，写成PO43-。

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.

出对行星之空的好奇，他假设每个隙都必须对应个柏拉图立体：四面体、立方体、八面体、二十面体和十二面体。

In a molecule of CH4, the hydrogen atoms are spatially oriented towards the centers of...- Tetrahedrons.

甲烷分子，氢原子的空置是朝向什么的心？- 四面体。

Tetrahedrons can stack into different shapes as changes in temperature and pressure juggle them around.

四面体可以根据周围不同的温压条件堆积成不同的形状。

Now, phosphate is made up of one central phosphorus atom surrounded by four oxygen atoms in a tetrahedral arrangement, kind of like a mini pyramid, and has a charge of minus 3 and is written PO43-.

磷酸盐是由个心的磷原子和四个氧原子包围所组成，以四面体构造排列，有点像小金字塔，其电荷是-3写作PO43-。

Its molecules form tetrahedral shapes — that's a triangular pyramid, or a d4 if you're into tabletop RPGs.

它的分子结合成四面体形——这是种三角形的棱锥，或者是桌面角色扮演游戏的d4。

Over 160 kilometers beneath the Earth's surface, the intense heat and pressure forced carbon atoms into that tetrahedral structure to form diamonds.

在距离地表160多千米深处，高温高压使碳原子们形成为四面体结构，再进步形成钻石。

As the molecule continues to build on itself, it can make various crystal structures depending on the orientation of the little tetrahedrons.

随着分子继续发展壮大，它可以形成多种结构的晶体，具体结构取决小四面体连接的方向。

The next stage of decay would be, it would be four sides.

下阶段的衰变将会是四面体。

Okay, that simple shape like a triangle or maybe a tetrahedron in 3D.

好的，就是那种简单的形状，比如三角形，或者三维空的四面体。

But the challenge I present to you is to write an explicit formula for the volume of this tetrahedron in terms of the coordinates of those four different points.

但我给你提出的挑战是，写出个以这四个不同点的坐标表示的四面体体积的显式公式。

24 others in this sort of tetrahedral patent tetrahedron is this group one in the middle with four and it

在这个四面体专利结构，还有24个其他类似的部分，这个组有四个。

The same thing does for CH4 with its tetrahedron of weakly electronegative hydrogens around a more strongly electronegative carbon.

同样的情况也适用CH4，其四个弱电负性的氢原子围绕着个较强的电负性碳原子形成了个四面体结构。

The three upper sides, or petals, of the tetrahedral lander folded outward, revealing the eleven-kilogram, twenty-four-pound rover.

四面体着陆器的三个上侧或花瓣向外折叠，露出了这辆重11千克、24磅的火星车。

Well if you hold four balloons in your hand it's going to have this tetrahedral shape.

如果你手里拿着四个气球, 它就会有这种四面体形状。

For this next one, imagine that you have four different points in three-dimensional space and they form the vertices of a tetrahedron, basically the shapes such that those four different points are its corners.

接下来这个， 想象你在三维空有四个不同的点， 它们构成了个四面体的顶点，基本上就是这四个点作为其角的形状。

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，接着是地球的轨道， 个十二面体，火星，个四面体， 木星，个立方体，最后是土星。