Mathematicians estimated it by inscribing polygons in circles.

数学家通过在圆内接来估算数值。

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

圆是一有的鲁洛正有无数条，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，增加了更的线条，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.

七巧板是一小块拼图游戏，由七扁平的组成，些放在一起可以成其他状。

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

重要的是， 它也适用于一些数较少的，包括七、六和五。

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

如果一像素完全在内部，它就会完全着色。

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

计算机填充的速率称为填充率。

Admittedly, this is a pretty ugly filled polygon.

诚然，是一非常丑陋的填充。

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

所以再也没有人通过二分来寻找圆周率了。

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

让我们切换颜色、切换并在它们周围放置正方。

This works with larger polygons too.

也适用于更大的。

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

但是如果只擦过一像素，它会得到一更浅的阴影。

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

是因为该算法不需要对任何进行排序，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，或者您通常不会在建筑物中看到的各种状。

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像素到的最近距离。

Consider this example scene with three overlapping polygons.

考虑具有三重叠的示例场景。

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。

Look at this beautiful teapot made out of polygons.

看看由制成的漂亮茶壶。

Although these models may have some smooth curves or squares and polygons, they're actually all  broken down into small triangles.

虽然些模型可能有一些平滑的曲线或正方和，但它们实际上都被分解成小三角。

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

为了让事情更容易理解，我们要给涂上不同的颜色。