Hexiamonds and trihexes
All three trihexes can be tiled with the hexiamonds with each hex being composed of 24 triangles, i. e. with a side of two.
There are respectively 51 (Bar trihex), 12 (Arch trihex) and 640 (Triangle trihex) solutions. Notice that the solution for the Bar trihex has a detachable side 2 hex. It can be moved around and provide solutions for the other two trihexes.