I just played the Fruit Machine, as always, and I got two Ummagine. The third wheel stuck on the third Ummagine for a moment before falling to the Tchea.  What I want to know is: has anyone ever gotten all three Ummagine, or is it a Neopian legend?

Every combination has happened and the prizes you get from each of them are known as well.

Ive had the 3 Ummagines many times , you get a petpet with 5000 NP i believe .. usually its a normal petpet like Warf, Mallard or Spyder 

After looking at the link above I realized I never seen or heard of the 3 Puntecs prize. That is the real legend for me

I won a Lost Desert pb off it once so I guess that must have been the three Puntecs. Never happened again, sadly.

I won a Maraquan paintbrush with it once. It was a looong time ago though.

I've had the three Ptolymelons maybe 2 or 3 times. Never had three Puntecs though.