Answer to Puzzle Contest:
10. I have worked through several of the permutations, and this is the most I have found. I have also offered $50 to each of 4 puzzle "masters" if they can send proof of 12, but I do not think it is possible. I am hereby also offering $50 to you if you can send proof of a way for the ants to travel all 12 edges, following the rules provided. It appears that 2 edges must always remain untravelled. The most difficult part of this problem was probably understanding the wording and "rules" of the puzzle to begin with.
Winner: sasiteck; Fairfax County, VA
Contest Statistics: Newsletter sent to 301481 subscribers, 24 answers submitted, 7 answers correct, 29.17% accuracy. Chance of a correct answer winning: 14.29%.