One technical tip: if you can't see a fractal with fine details clearly because it is too small, you can enlarge the image in Scheme by using the resize-image procedure, which is built-in to our Scheme. For example,
(resize-image (line 0 0 1 1) 400)would give you an image of a line from the center of the image to the upper-right corner, but it would be much larger than usual.
Rather than typing in the definition of c-curve, you can click on the
following file in Netscape and save it somewhere in your home
Regarding exercise 4.7: The examples in the book all involve c-curves between the points (0,-1/2) and (0,1/2), with just the level varying. You should also do some examples with other end points. Your goal should be to determine a formula L(d, n) for the length of a level-n C-curve between two points distance d apart. (In the book's examples, d is always 1. Your extra examples should vary this.) You need not mathematically prove that your formula always holds.
Regarding exercise 4.8: You should have fun designing your own fractal. You can also design more than one new fractal. If you do so, they need not all be of the form described in exercise 4.8 (paths with detours). Some could be more like Sierpinksi's gasket than like c-curves, for example.
To get some sense of how this project report will be graded, look at the grading sheet that we use.