???? I googled and found pictures for both. I just wondered how we jumped from Puli to Pumi and wondered if there was a link.
According to Wikipedia, the Pumi is a medium-small terrier-type breed of sheepdog from Hungary, originally used as a herding dog, and the Puli is a medium-small breed of Hungarian herding and livestock guarding dog. So I guess that the link must be that they are both medium-small size, and the herding connection. As for jumping from Puli to Pumi, when the letter "m" does come immediately after the letter "l" in the alphabet... [Shall I get my coat.....?]
The Puli, Pumi and Mudi are all close relatives. A Pumi and a Puli have a similar body the main difference difference between them is the coat. A Pumi's coat is shorter and curly rather like a Poodles. A Puli's coat is long and characterised by hanging in very distintive "dreadlocks". A Mudi which is a rare breed even here in Hungary doesn't look like either a Pumi or a Puli .... I'd say more like a border Collie with a similar shaped muzzle and body. Coat about 2 inches long and wavy. An interest fact is that the three breeds are so closely related, when a Puli or Mudi has a litter, occasionally one puppy will be a Pumi!
I remember watching a TV programme a couple of years ago about dog behaviour. Some of it was filmed at a University in Hungary, and among one of the dogs (out of about ten or so) they used in a behavioural study was a Mudi.