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

她谈到了将绿草坪切成多边形碎片浅小路，以及布满数百年历史痕迹棕砖墙。

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

七巧板是一个小块拼图游戏，由七个扁平多边形组成，这些多边形放在一起可以形成其他形状。

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

并且经年累月，增加了更多多边形线条，让球员们看起来越来越逼真。

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

或者说几乎超越了你提到从正方形开始多边形概念。

I just like the jaggy, polygonal look of it.

我就喜欢那种带有锯齿、多边形质感外观。

Then we repeat the process for the next farthest polygon, in this case, C. And then we repeat this again, for Polygon B. Now we’re all done, and you can see the ordering is correct.

然后我们对下一个最远多边形进行同样处理，这里是C。接着我们再对多边形B进行同样操作。现在我们全部完成了，你可以看到排序是正确。

So, imagine a robotic module in a polygon shape and using that simple polygon shape to reconstruct multiple different forms to create a new form of robot for different tasks.

因此，想象一个多边形机器人模块，并使用这个简单多边形来重建多种不同形式，从而为不同创建一种新形式机器人。

Stephen looked at the black form of the adjacent house, where it cut a dark polygonal notch out of the sky, and felt that he hated the spot.

斯蒂芬看着隔壁房子黑轮廓，从天空中划出一个黑多边形缺口，觉得他讨厌这个地方。

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 年时间努力计算出一个多边形周长，该多边形周长为 62 条边。

This works with larger polygons too.

这也适用于更大多边形。

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

重要是， 也适用于一些边数较少多边形，包括七边形、六边形和五边形。

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

然后我们进行之前提到六个多边形光线三角形相交计算。

In short, Z-buffering keeps track of the closest distance to a polygon for every pixel in the scene.

简而言之，Z缓冲记录场景中每个像素到多边形最近距离。

Instead of filling pixels in a polygon with the same color, we can adjust the color based on how much the polygon cuts through each pixel.

与其在一个多边形中用相同颜填充像素，我们可以根据多边形穿过每个像素程度来调整颜。

The scanline algorithm starts by reading the three points that make up the polygon, and finding the lowest and highest Y values.

扫描线算法首先读取构成多边形三个点，并找到最低和最高Y值。

But importantly, it’s the same type of calculations being performed over and over and over again for many millions of polygons – scanline filling, antialiasing, lighting, and texturing.

但重要是，这些计算一遍又一遍地重复进行，针对数以百万计多边形——填充扫描线、抗锯齿、光照和纹理映射。

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

而且这个茶壶可以放置在一个更大场景中，由数以百万计多边形组成。

Consider this example scene with three overlapping polygons.

考虑这个包含三个重叠多边形示例场景。

The most straightforward way to handle this is to use a sort algorithm, and arrange all the polygons in the scene from farthest to nearest, then render them in that order.

处理这个问题最直接方法是使用排序算法，将场景中多边形从远到近排列，然后按此顺序进行渲染。

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.

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