The geometry of carpentry and joinery

  • Authors:
  • Pat Morin;Jason Morrison

  • Affiliations:
  • School of Computer Science, Carleton University, 1125 Colonel By Drive, Ottawa, Ont., Canada K1S 5B6;School of Computer Science, Carleton University, 1125 Colonel By Drive, Ottawa, Ont., Canada K1S 5B6

  • Venue:
  • Discrete Applied Mathematics - Fun with algorithms 2 (FUN 2001)
  • Year:
  • 2004

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Abstract

In this paper, we propose to model a simplified wood shop. Following the work of Demaine et al. (Comput. Geom.: Theory Appl. 20 (1-2) (2002) 69) 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 describe a linear time algorithm to decide if a blueprint can be constructed in such a workshop.