Chordioid

A chordioid is a special shape that looks like a heart with a sharp point at the bottom. Imagine a big circle with a line going through the middle, and then imagine a dot on that line that moves around the circle. As it moves, that dot traces a special path that creates the chordioid shape. It gets its name from the fact that the shape is similar to the curve that you get when you play chords on a guitar.

Mathematicians study chordioids because they come up in lots of different places. For example, they can be used to model the orbits of planets, the shape of sound waves, and even the way that light reflects off of curved surfaces. Even though it might seem like a complicated idea, we can use math and geometry to help us understand it and explore its patterns and properties.