Use NestWhileList to iterate the julia function similarly to how it was iterated with FixedPointList in the text.

Use NestList to iterate the process of summing cubes of digits, that is, starting with an initial integer generate a list of the successive sums of cubes of its digits. For example, starting with 4, the list should look like: {4, 64, 280, 520, 133, } since 4 3 = 64, 6 3 + 4 3 = 280, etc. Extend the list for at least fifteen values, experiment with other starting values, and look for patterns in the sequences.

Following on the example in this section iterating rotations of a triangle, use Translate to iterate the translation of a square or other polygon.