need help finding a class project(comp. geometry and cryptography)

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I just started a new class recently and am in need of a good class
project.
The course is a graduate course in computational geometry.
I think I will like this course but, overall, I don't find myself too
much interested in teh material
I figure a good project will help motivate me through the course and,
well, a project is required anyway! :)
My main interests are in number theory and cryptography.
Any suggestions for a nice little project that could be done in the
span of several weeks by a beginning graduate student? The idea could
either be theoretical or an implementation in code or perhaps a bit of
both.

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