Transformations and SymmetryStep

Self Similarity

There are some curious mathematical shapes that are similar to a smaller part of themselves. An example is the Sierpinksi Triangle: the entire triangle is similar to any one of the smaller triangles it consists on. You could zoom in and infinitely many smaller and smaller triangles.

Shapes with this property are called Fractals. They have some surprising and truly XXX properties, which you will learn about more in the future.