DNA nanotechnology relies on the structural and functional information encoded in nucleic acids. Specifically, the sequence-guided reconfiguration of nucleic acids by auxiliary triggers provides a means to develop DNA switches, machines and stimuli-responsive materials. The present Review addresses recent advances in the construction and applications of dynamic reconfigurable DNA nanostructures, networks and materials. Dynamic transformations proceeding within engineered origami frames or between origami tiles, and the triggered dynamic reconfiguration of scaled supramolecular origami structures are addressed. The use of origami frameworks to assemble dynamic chiroplasmonic optical devices and to operate switchable chemical processes are discussed. Also, the dynamic operation of DNA networks is addressed, and the design of "smart" stimuli-responsive all-DNA materials and their applications are introduced. Future perspectives and applications of dynamic reconfigurable DNA nanostructures are presented.