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

在几何学，足球被认为是截断的二十面体，因为它由20六边和12五边组成。

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

这些较小的塔楼状各异，有、圆五边，它们保护着城墙的底部，并作为拱壁，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.

重要的是那常数不依赖于状本身，它可以是， 也可以是猫，还可以是我们十二面体的五边面，无论什么状都行。

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.

大教堂的花园是封闭的五边花园, 里面有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。