Equidistant set

Okay, so let's pretend you are standing in the middle of a circle. Imagine you have a ruler and you can measure the distance from the center of the circle to any point on the edge of the circle.

Now, let's say you mark down all the points on the edge of the circle that are the same distance away from the center as each other. So, for example, if you measure 3 inches from the center to one point on the edge of the circle, you mark down all the other points on the edge of the circle that are also 3 inches away from the center.

That group of points you marked down is what we call an equidistant set. It means that all the points in that group are the same distance away from the center of the circle.

You can also have equidistant sets in other shapes besides circles. For example, you could have an equidistant set of points on a square or a triangle if they were all the same distance away from a certain point.

Basically, an equidistant set is just a group of points that are all the same distance away from a particular point.