A "near polygon" is when you have a bunch of points (let's say colored dots) and you connect some of them with lines to make a shape (let's say a triangle). But there are still some dots left over that aren't connected to the triangle.
Now, imagine that you want to make another triangle using some of those leftover dots. But you don't want the second triangle to be too far away from the first one, because then it won't look good. So you decide that you only want to use the dots that are "near" the first triangle.
To figure out which dots are "near" the first triangle, you draw a circle around it. Any dots that are inside that circle are "near" the first triangle. So you choose some of those dots and connect them with lines to make your second triangle.
Overall, a "near polygon" is just a shape that's made of several smaller shapes (like triangles) that are all close together.