hi! is there a name for a poly relationship where there is 3 or 4 people involved and they are all in a closed relationship?

With three people, it would be a triad. With four, it would be a quad.

Some people use the term “polycule” to describe any number of people linked by poly relationships.

Soapbox: With any amount of people, it doesn’t really matter what the Official Term is. Do what’s healthy and fulfilling for you, and call it whatever you want. I am not the Official Arbiter Of The Polyamory Dictionary, and neither is anyone else. Having a word for something can often make it feel more real or valid, and that’s totally fine. But don’t get too caught up in terminology!