And over the years, more polygon lines were added, making the players look more and more lifelike.

并且经年累月，增加了更多的多边形线条，让球员们看起来越来越逼真。

The tangram is a dissection puzzle consisting of seven flat polygons which are put together to form shapes.

巧板是一个小块拼图游，个扁平的多边形组成，这些多边形放在一起可以形成其他形状。

Importantly, it also works for some polygons with fewer sides, including heptagons, hexagons, and pentagons.

重要的是， 它也适用于一些边数较少的多边形，包括边形、六边形和五边形。

Look at this beautiful teapot made out of polygons.

看看这个多边形组成的漂亮的茶。

A collection of polygons like this is a mesh.

像这样的多边形集合称为网格。

Or is it almost like beyond, it's the polygon thing you mentioned from a square.

或者说它几乎超越了你提到的从正方形开始的多边形概念。

I just like the jaggy, polygonal look of it.

我就喜欢它那种带有锯齿、多边形质感的外观。

This works with larger polygons too.

这也适用于更大的多边形。

We then do the ray-triangle intersection calculation that we mentioned earlier with just these six triangles.

我们进行之前提到的六个多边形的光线三角形相交计算。

She talks about pale cement paths that slice green lawns into polygonal fragments and walls of brown brick pockmarked by centuries of history.

她谈到了将绿色草坪切成多边形碎片的浅色水泥小路，以及布满数百年历史痕迹的棕色砖墙。

And finally, there’s the upper-left polygon.

最，还有左上角的多边形。

For example, the bottom-most polygon is tilted downwards, away from the light source, which means it’s going to be dark.

例如，最底部的多边形朝下倾斜，远离光源，这意味着它会显得很暗。

Unfortunately, it also makes all those polygon boundaries really noticeable and the mesh doesn’t look smooth.

不幸的是，这也使得所有的多边形边界变得非常明显，网格看起来不光滑。

This process repeats for all pixels in the polygon, and that’s how we get textures.

这个过程会对多边形中的所有像素重复进行，这样我们就得到了纹理。

In a similar way, the rightmost polygon is slightly facing away from the light, so it will be partially illuminated.

类似地，最右边的多边形稍微背对着光源，所以它会部分被照亮。

And this teapot can sit in an even bigger scene, comprised of millions of polygons.

而且这个茶可以放置在一个更大的场景中，数以百万计的多边形组成。

He spent 25 years on the effort computing to high accuracy the perimeter of a polygon with two to the 62 sides.

他花了 25 年的时间努力计算出一个多边形的周长，该多边形的周长为 62 条边。

Consider this example scene with three overlapping polygons.

考虑这个包含三个重叠多边形的示例场景。

To make things easier to follow, we’re going to color the polygons differently.

为了让大家更容易理解，我们将给多边形涂上不同的颜色。

The direction they face is called the Surface Normal, and we can visualize that direction with a little 3D arrow that’s perpendicular to the polygon’s surface.

它们面对的方向称为表面法线，我们可以用一个小的垂直于多边形表面的3D箭头来可视化这个方向。