Partially and Cyclicly Flip-hinged Dissection of Hexagon to Triangle

 


Flip-hinged {6} to {3}  (5)

Cyclicly flip-hinged of four outer pieces
   
        As we have seen a 5-piece dissection of hexagon to triangle. It has four pieces swing-hinged and connected end to end. Thus we can flip these four pieces cyclicly along the segments connecting their hinges and move the small equilateral triangle to the desired place. Note that after flipping four points along these segments we should move some of the pieces to make them into a cycle.