Student: Just what is self-similarity?? Is it when you repeat the same steps over and over, like in iteration and recursion?

Mentor: It is related to that, but it is a property of the object, not of the steps used to build the object. Think of it this way: When we look at stage 2 of the Hilbert curve, we can find a copy of stage 1:

This copy is a smaller scale version of the original. We can find this in the Koch Snowflake, too:

Can you find self-similarity in the other fractals?

Student: I see it in zooming on the Tortoise and the Hare and Another Hilbert Curve.

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