Mathematicians estimated it by inscribing polygons in circles.

数学家通过在内接多边形来估算这个数值。

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

第个多边形或 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.

是个有效的鲁洛正多边形有无数条边，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.

七巧板是个小块拼图游戏，由七个扁平的多边形组成，这些多边形放在起可以形成其他形状。

The new product logo is showcased in a Low-Poly style, featuring flat geometric shapes.

新产品标志采用低多边形风格，以平面几何形状为特色。

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

的是， 它也适用于些边数较少的多边形，包括七边形、六边形和五边形。

Look at this beautiful teapot made out of polygons.

看看这个由多边形组成的漂亮的茶壶。

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。

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

让我们切换颜色、切换多边形并在它们周围放置正方形。

This works with larger polygons too.

这也适用于更大的多边形。

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

但对于更复杂的形状，三角形更好——在3D图形中称为多边形。

A collection of polygons like this is a mesh.

像这样的多边形集合称为网格。

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

所以再也没有人通过二分多边形来寻找周率了。

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的六个多边形的光线三角形相交计算。

But, that also increases the polygon count, which means more work for the computer.

但这也会增加多边形数量，这意味着电脑需做更多的工作。

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多边形，或者您通常不会在建筑物中看到的各种形状。

As an example, we’ll pick 3 polygons from different parts of our teapot.

例如，我们将从茶壶的不同部位取3个多边形。

He showed that this is faster than any polygon.

他证明这比任何多边形都快。