Single Sheet Folded Paper / Digital Model
Below are 3 series of images. First are images of single sheet of paper folded into a pattern originally created by Ron Resch. This is a single sheet with no cutouts, tears, etc. The second set of images show the flat pattern and the basic module and its rules for folding. As the individual module gets folded in 3D space the corners must stay on a sphere that has the rule of ‘diameter = sqrt 2 * edge length’. The inner coners follow a similar rule of staying at sphere that has a ‘diameter = edge length’. From this we can triangulate the next module and so on until we get a larger surface. Note that even though every module is twisted and folded in a slightly different manner, they are all in a very specific relationship. Only a single module (show in green in one of the images) controls the shape of the entire surface. The third series of images are rederings of one iteration of the surface.
The corners of the fold follow the spheres as the single module is folded in 3D space…
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