Paper by Erik D. Demaine

Reference:
Amartya Shankha Biswas, Erik D. Demaine, and Jason S. Ku, “Efficient Origami Construction of Orthogonal Terrains using Cross-Section Evolution”, in Origami7: Proceedings of the 7th International Meeting on Origami in Science, Mathematics and Education (OSME 2018), Oxford, England, September 5–7, 2018.

Abstract:
We introduce a new method of origami construction, using cross section diagrams. Instead of beginning our construction from a 2-dimensional sheet of paper, we consider a 1-dimensional cross section moving forwards in time. We obtain conditions for the validity of a particular cross section evolution sequence, and prove that the resulting folded state is isometric to a flat sheet of paper.

Subsequently, we use this machinery to design an efficient construction of orthogonal terrains, with arbitrary rational extrusion heights.

Length:
The paper is 16 pages.

Availability:
The paper is available in PDF (667k).
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Last updated September 17, 2018 by Erik Demaine.