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

两条线相交在一点，即点时，就形成了一个角。

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点坠落时会发生什么。

So let's focus on a single vertex.

所以让我们专注于一个点。

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

让我们从第一步开始，叫做点着色。

Circle the solid that has seven vertices.

请圈出有七个点的立体图形。

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

V 代表点，E 代表边，F 代表面。

Vertex shading, rasterization, and fragment shading.

点着色、光栅化和片段着色。

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

现在我要你关注这个三角形的点，这些白点。

She drew a big triangle on the blackboard with the sun, the Earth, and Jupiter at the vertices.

她在黑板上画了一个大三角形，点分别是太阳、地球和木星。

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

关键是要将这视为一个新的图，其中那些交点就是点。

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

那么，对于我们的这个问题，你能做到让每个点都有一个红邻、绿邻和蓝邻吗？

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

虽然在这种情况下，颜色是给点对而不是单个点的。

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

如果我们在这个点加上一个山折，就是三个山谷和两个山峰。

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

稍微整理一下，就是边数减去点数再加上2。

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

“考虑减少三角形的数量，并考虑减少点着色点的工作。”

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点做折叠时会发生什么。

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

哪些角的点是(1, 1, 1)，(1, 1, -1)，等等等等。

To perform this transformation, we use the X, Y, and Z coordinates of that vertex in modeling space.

为了执行这一变换，我们使用建模空间中该点的X、Y和Z坐标。

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

所以这里的点总数不是N，而是N加上n选4的总交点数。

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.

这两颗恒星和天津四一起构成了夏季大三角，在夏季从中纬度地区可以清晰地看到。