In geometry, a soccer ball is considered a truncated icosahedron because it consists of 20 hexagonal and 12 pentagonal surfaces.

在几何学中，一个足球被一个截断的二十面体，因由20个六边形和12个五边形组成。

Square, circular, or pentagonal in shape, the smaller towers protected the base of the walls and acted as buttresses, strengthening the fortification.

这些较小的塔楼形状各异，有方形、圆形五边形，们保护着城墙的底部，并作拱壁，增强了堡垒的防御。

The significance was that  that constant didn't depend on the shape itself, it could have been a square, or a cat, or the  pentagonal faces of our dodecahedron, whatever.

重要的那个常数不依赖于形状，可以正方形， 也可以猫，还可以我们十二面体的五边形面，无论什么形状都行。

The cathedral garth was a cloistered, pentagonal garden with a bronze postmodern fountain. Katherine was amazed how loudly the fountain's flowing water seemed to be reverberating in the courtyard.

大教堂的花园一个封闭的五边形花园, 里面有一个青铜色的后现代喷泉。凯瑟琳惊讶于喷泉的流水似乎在庭院里回荡的声音。