When two lines meet at a point, or vertex, an angle is formed.

当两条线相交在，顶时，就形成了个角。

Let's begin with the first step called vertex shading.

让我们从第步“顶着色”开始。

V stands for vertices, E for edges, F for faces.

V 代表顶，E 代表边，F 代表面。

Here’s a closer look at what happens when we make the folds at this vertex.

下面仔细看看我们在这个顶做折叠时会发生什么。

Now I want you to focus on the vertices of  that triangle, these white dots.

现在我希望你把注意力集中在那个角形的顶上，这些白。

Here's a closer look at what happens when we make the falls at this vertex.

下面仔细看看我们在这个顶坠落时会发生什么。

So, let's focus on a single vertex.

因此，让我们关注个顶。

So to our question, can you make it so that every vertex has a red, green and blue neighbor?

那么对于我们的问题，你能让每个顶都有个红色、绿色和蓝色的邻居吗？

But the key is to treat this as a new graph  where those intersection points are them vertices.

但关键是将其视为个新图，其中这些交是顶。

If we add a mountain fold at this vertex, there are three valleys and two mountains.

如果我们在这个顶加上个山折，就是个山谷和两个山峰。

Rearranging a little, you  would take the number of edges minus the number of vertices plus two.

稍微重新排列下，你可以用边的数量减去顶的数量再加上二。

So we can see here it says, " Consider reducing the number of triangles and consider reducing the work in the vertex shader."

“考虑减少角形的数量，并考虑减少顶着色的工作。”

So the total number of vertices here  would not be N but N plus N choose four total intersection points.

因此，这里的顶总数不是 N，而是 N 加 N 选择四个交。

These two stars, which form the vertices of the Summer Triangle along with Deneb, are clearly visible during summer from places in the mid-northern latitudes.

这两颗恒星和天津四起构成了夏季大角，在夏季从中纬度地区可以清晰地看到。

Whose corners have vertices (1, 1, 1), (1, 1, -1), on and on and on.

其角有顶 (1, 1, 1), (1, 1, -1)，等等。

Though in that case, colors were given to pairs of vertices instead of individual ones.

但在这种情况下，颜色被赋予给成对的顶而不是单个的顶。

If I hover over the vertices row, here I can get an idea of, OK, what's the summary for that draw call for the vertices submitted to the scenes?

如果我在顶行上面悬停，我就能够了解那个顶的绘制调用提交到场景的总数是多少？

To start, take a 2x2 box centered at the origin Its corners around the vertices (1, 1), (1, -1), (-1, 1) and (-1, -1).

首先，取个以原为中心的 2x2 盒子， 其角围绕顶 (1, 1)、(1, -1)、(-1, 1) 和 (-1, -1)。

When the sixpointed star was laid perfectly over the Great Seal of the United States, the star's top vertex fit perfectly over the Masonic all-seeing eye ...

当六角星完地铺设在国国徽上时, 这颗星的顶完地贴合在共济会全视眼上。

So each step here we're looking at the three neighbors of a given vertex, counting up the red ones, and adding that to a total tally.

因此，这里的每步我们都会查看给定顶的个邻居，计算红色顶的数量， 并将其添加到总计数中。