The geometry of carpentry and joinery

In this paper we propose to model a simplified wood shop. Following the work of Demaine, Demaine and Kaplan in [4] we limit the cutting tools of our carpenter to a circular saw. We extend that previous work to include a model of basic rules of carpentry and joinery. This model is then applied to the problem of building a polygon P by joining together strips of wood and cutting them with a circular saw. We begin with deciding if a specific blueprint can be constructed and then progress to the design of blueprints for specific polygons.