Geometric dissections now swing and twist

Conclusion  With their visual and kinetic appeal, hinged dissections and their design techniques will continue to play a role in mathematical recreation and education. They also invite substantive research in mathematics and computer science. Hinges are the simplest of linkages, permitting only relative rotation between connected pieces; with hingeability we address issues of transformation of objects which have wider relevance. In addition to the problem of generality discussed briefly in the introduction, there is the search for algorithms: procedures for determining whether a given dissection is hingeable, and for finding effectively a plan of motion that carries the hinged pieces from one of the figures to the other.