Have you ever played with a top, the kind that you spin and watch it twirl? When you spin a top, it creates a path in the air that is called a "precession". Now, imagine that a top is spinning around and moving in a circle on a flat surface. In this movement, there is another path that the top creates that is called a "herpolhode".
Let's make it simple. A herpolhode is the path which describes where a point on a circle travels when it moves along a second circle that is rotating around the first one.
It's like a toy train moving on a circular track on top of a bigger circular track. The train moves around the small circular track, but it also moves a little around the big circular track at the same time. The path it creates is like the herpolhode.
Herpolhodes can be seen in many different areas of science and math, like in the motion of electrons in atoms or in the movement of the Earth's axis. They are a cool thing to study and can help us understand the way things move and interact with each other.