i have the same problem too.
i took home these 4 platys...2 were medium sized, bright orange and yellow colour.
the first one started to get pointed fins...like you described....unfortunately i got rid of it.
the second one had a perfect tail...then a few days later..same thing...its fins started turning that shape...
then tonight when i got home...it just gave up on me and moved on to a better place. weiiiirddddddd........im thinking its the exact same problem you're having.
maybe it's some kind of plague!!!!*