Mathematicians estimated it by inscribing polygons in circles.

数学家通过在圆内接多边来估算这个数值。

And that's when the first polygonal, or 3D, virtual football players were born.

第一个多边或 3D 虚拟足球运动员诞生了。

The circle, which is effectively a Reuleaux polygon with an infinite number of sides, has the largest.

圆是一个有效的鲁洛正多边有无数边，有最大的面积。

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，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.

七巧板是一个小块图游戏，由七个扁平的多边组，这些多边放在一起可以状。

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，包括七边、六边和五边。

If a pixel is entirely inside of a polygon, it gets fully colored.

如果一个像素完全在多边内部，它就会完全着色。

The rate at which a computer fills in polygons is called the fillrate.

计算机填充多边的速率称为填充率。

Admittedly, this is a pretty ugly filled polygon.

诚然，这是一个非常丑陋的填充多边。

So no one was bisecting polygons to find Pi ever again.

所以再也没有人通过二分多边来寻找圆周率了。

Let's switch colors and switch polygons and put squares around these.

让我们切换颜色、切换多边并在它们周围放置正方。

This works with larger polygons too.

这也适用于更大的多边。

But if the polygon only grazes a pixel, it’ll get a lighter shade.

但是如果多边只擦过一个像素，它会得到一个更浅的阴影。

That’s because this algorithm doesn’t need to sort any polygons, which makes it faster.

这是因为该算法不需要对任何多边进行排序，因此速度更快。

They may be triangles or polygons, or different kinds of shapes that you don't normally expect in a building.

它们可能是三角或多边，或者您通常不会在建筑物中看到的各种状。

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多边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。

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

简而言之，Z 缓冲会跟踪场景中每个像素到多边的最近距离。

Consider this example scene with three overlapping polygons.

考虑这个具有三个重叠多边的示例场景。

But for more complex shapes, triangles are better -- what are called polygons in 3D graphics.

但对于更复杂的状，三角更好——在 3D 图中称为多边。

Look at this beautiful teapot made out of polygons.

看看这个由多边制的漂亮茶壶。