Ask HN: Are there any advantages to ternary computing?

Reading on Wikipedia the other day, I came across some pages about three-value logic and ternary computing. One of the articles claimed that ternary computers "had notable advantages over the binary computers which eventually replaced it". What could these advantages have been? Also, since there are no ternary computers nowadays, I am curious as to what engineering challenges might have tipped the scales in favour of the binary computer.