The catenary is a beautiful curve, with important applications in science, engineering, and architecture. In our hands-on workshops, participants build catenary arches while discovering something about their mathematical properties and the design choices that led to this construction. Three materials are explored: paper, cardboard, and wood. The large wooden arch is designed to be displayed in public spaces and to make viewers aware of the link between art and math. As part of our Making Math Visible project, free templates and three-part lesson plans are available online.