In the summer of 2008, Kaleb Waite and I studied a question we called the pill problem. The problem has to do with the distribution of whole and half pills in a bottle. Kaleb and I wrote a paper based on the project and presented it in April, 2009 at the Central Plains meeting of the Consortium for Computing Sciences in Colleges (CCSC). Our paper appeared in the Journal of Computing Sciences in Colleges, which is published by the CCSC.
For more information about the project, visit Kaleb's website.
Here is a PDF version of our paper.