Timothy G. Abbott, Zachary Abel, David Charlton, Erik D. Demaine, Martin L. Demaine, Scott D. Kominers. Hinged dissections exist. In Monique Teillaud, editor, Proceedings of the 24th ACM Symposium on Computational Geometry, College Park, MD, USA, June 9-11, 2008. pages 110-119, ACM, 2008. [doi]
Abstract is missing.