Abstract / Synopsis
We present a method for generating crease patterns for folding any rectilinear polygon extrusion with a specified uniform minimum edge-to-edge distance, using a rectangular sheet of paper. We demonstrate that the resulting models are efficient and watertight. In addition, they achieve optimal efficiency, meaning they attain the smallest possible scale factor from the original sheet of paper to the folded rectilinear polygon extrusion. Finally, we provide a code implementation of the method. Our study not only facilitates crease pattern design for origami artists but also offers an innovative, art-driven pedagogical tool for inspiring interest in mathematics.
Recommended Citation
Everett L. Jin, "A Method for Folding Origami Rectilinear Polygon Extrusions," Journal of Humanistic Mathematics, Volume 16 Issue 2 (July 2026), pages 20-50. . Available at: https://scholarship.claremont.edu/jhm/vol16/iss2/4
