We spent some time reviewing the results from Complex Paint Worksheet 2. We have observed a few things, the most obvious of which are that **all Julia Sets have 180-degree rotational symmetry** and **the only Julia Sets that have x- and y-axis symmetry have a parameter that is a real number**. It turns out that both of these observations are *provable facts* about Julia Sets, which we will investigate tomorrow!

Secondly, we observed that many Julia Sets are connected (areas and strings) but many are not connected. This distinction – between connected and unconnected Julia sets – will form the basis for the formation of the **Mandelbrot Set**. Be sure you are in class tomorrow, as it will be an important day!

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