One given diagram for folding may produce different two spatial shapes.
The property of paper, mostly its elasticity and thickness, cause each object to be expanded in a spatial shape. The difference in shape between the objects is due to the difference in direction of folding operation: to fold in radiation [i.e., from its center toward its boundary] ('pseudo-elliptic' object on the right), otherwise, to fold in concentration [counter-operation: from its boundary to its center] ('pseudo-hyperbolic' object on the left).
In mathematical observation, both structures in each folding direction should be mapped on a common 2-dimensional closed square, respectively, not be expanded in 3-dimensional distinct spatial solids.
Material: a sheet of square origami for each, without using adhesives.
Date: %Confirmation is in progress...%
Photo date: January 11, 2002

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