The triangle offense was defined in detail by Tex Winter, and it has been one of the main tactics used by Chicago Bulls and LA Lakers during the years Phil Jackson was coaching these teams. So, it’s not a surprise to see NY Knicks using it.
The system is basic, everybody knows it, the difficult thing is the right execution: the right coordination of all moves, the flow and the right decision making process from all the players takes some years to be ready to compete at high level. It also require the right people (good passers and people who understand how to play without the ball) to make the moves to work fluently.
I found this detailed document about the integration of the triangle offense in Bulls, with so many specific details.