Planar Drawings of Origami Polyhedra
Demaine, Erik D. and Demaine, Martin L. (1998) Planar Drawings of Origami Polyhedra. In: Graph Drawing 6th International Symposium, GD’ 98, August 13-15, 1998, Montréal, Canada , pp. 438-440 (Official URL: http://dx.doi.org/10.1007/3-540-37623-2_36).
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This work studies the structure of origami bases via graph drawings of origami polyhedra. In particular, we propose a new class of polyhedra, called extreme-base polyhedra, that capture the essence of “extreme” origami bases. We develop a linear-time algorithm to find the “natural” straight-line planar drawing of these polyhedra. This algorithm demonstrates a recursive structure in the polyhedra that was not apparent before, and leads to interesting fractals.
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