A curved crease on a sheet of paper causes the paper on both its sides to curve. I show how to fold a class of models that seem to defy this with most of the paper flat while a curved ridge protrudes from the surface. By “show how to fold” I mean explain the physical manipulation of paper. What actually happens during the folding is unclear, as are the details of the exact geometry of the result. While for me the primary motivation for exploring this class of models is the freedom it allows in the design process, the question of how these models actually fold is intriguing, and answering it may eventually provide further insights into the behavior of paper as a sculptural medium.