This collection of pointy curves fascinates mathematicians.

这组有尖头的曲线使数学家着迷。

I saw a cantilever with the tip and a spring on the ceiling.”

我在天花板上看到了有尖头和弹簧的悬臂。”

They mostly use a device called an ice saw —a large, round piece of metal with many sharp points.

他们大多使用一种叫做冰锯的设备——一种有许多尖头的圆形金属。

Small cusps were then added, so the tooth had three in a row, aligned front to back, and connected by crests.

后来，更小的尖端出现，所以一有成排的三个尖头，从前往后排列，并由凹槽相连接。

An " arrow" is a long piece of wood that has a sharp point at the end that you can use to kill things with.

“箭”是一根末端有尖头的长木头，可以用来杀东西。