A cover in the shape of a reuleaux triangle still wouldn't fall into the shaft, but also wouldn't roll away--it would have constant width, but its center of mass would move up and down while rolling. Apparently the UK has superior civil engineers.
In modern US cities there are a lot of different manholes, mostly round and rectangular - some shafts don't go deep, so there is no need to make shaft round.
I wonder what kind of shaft is under triangular cover, why would someone build triangular shaft? :)
Joke is that in the UK some manhole covers (bt?) are more or less triangular.