Mathematicians estimated it by inscribing polygons in circles.

数学家通过在圆内接形估算个数值。

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

圆是一个有效鲁洛正形有无数条，有最大面积。

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

并且经年累月，增加了更形线条，让球员们越越逼真。

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

七巧板是一个小块拼图游戏，由七个扁平形组成，些形放在一可以形成其他形状。

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

重要是， 它也适用于一些数较少形，包括七形、六形和五形。

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

如果一个像素完全在形内部，它就会完全着色。

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

计算机填充形速率称为填充率。

Admittedly, this is a pretty ugly filled polygon.

诚然，是一个非常丑陋填充形。

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

所以再也没有人通过二分形寻找圆周率了。

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

让我们切换颜色、切换形并在它们周围放置正方形。

This works with larger polygons too.

也适用于更大形。

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

但是如果形只擦过一个像素，它会得到一个更浅阴影。

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形进行排序，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.

它们可能是三角形或形，或者您通常不会在建筑物中到各种形状。

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个像素到形最近距离。

Consider this example scene with three overlapping polygons.

考虑个具有三个重叠形示例场景。

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

但对于更复杂形状，三角形更好——在 3D 图形中称为形。

Look at this beautiful teapot made out of polygons.

个由形制成漂亮茶壶。

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曲线或正方形和形，但它们实际上都被分解成小三角形。

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

为了让事情更容易理解，我们要给形涂上不同颜色。