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(Top) A duopotent lattice of sixons in the flat state, where gray hexagons denote the excised regions of the paper. Folding the red lines (surrounding the red, upward facing triangles) leads to a Mexican hat potential, whereas folding the blue lines (surrounding the blue, downward facing triangles) leads to a half-cylinder. Dashed lines indicate valley folds, and dash-dotted lines indicate mountain folds. (Bottom) The two folded state configurations of the duopotent sheet.
