A Hinged Dissection for Hexagons

Click on the red vertex and swing it around to cover the nearby magenta point. The blue and green pieces then form a hexagon of area 13 with a hexagonal hole of area 1. Next click on the red vertex and swing it two thirds of the way counterclockwise around a circle to cover the other magenta point. The pieces then fit together to form a hexagon of area 12. The pieces are "cyclicly hinged," with the red and black vertices designating the hinges. Of course, you can swing the pieces back and forth as much as you like! This dissection is from a family of hinged hexagon dissections of various areas. Can you find this family?
Back to Dissections: Plane & Fancy.
Also see Hinged Dissections : Swinging & Twisting.
Copyright 1997 Greg Frederickson.