My father-in-law showed me a ספר that discusses whether or not you can fulfill your obligation to count the עומר using other base systems besides decimal. This a good case where the question is far more interesting than the answer. Surely, one should not do that. However, it was a very interesting concept I had never thought of before. So, I added a widget on the blog's sidebar which will display the day of the Omer in various relevant bases.
On the insistence of reader Pi (that's his shorter name), I have added base 7 as well as a pick-your-own-base section.
Here is the excerpt from the ספר.