This is the only diagrammed origami model that simulates a true mathematical fractal. It makes a pyramid shape with many branches. No one has yet successfully folded a version without cutting the paper; the version in the picture (folded by the author) was made by carefully cutting the crease pattern into several pieces, folding these using the recursive folding instructions, and then gluing them back together. The challenge of folding recursive diagrams as well as the dexterity involved to not destroy the paper easily put this model in the supercomplex category.
A fun crease pattern that can repeat infinitely to the center folds an octagon into a geometric flower design, where the front and back of the paper look the same.
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by Thomas R. Crain
This article explores several variations in a square twist crease pattern that may be achieved simply by varying the mountain/valley assignment of the same underlying crease pattern.
The Zipper Tessellation is a good starting point for many variations, such as the Zipper Ring and Vase, presented here with crease patterns and some diagrams.
Tessellations have become increasingly popular in origami. But it's not always easy to get started. This article introduces some videos that can help you on the way.
With many tessellations, the obvious way to design the crease pattern doesn't necessarily result in a foldable pattern. By adding extra creases to the pattern, you can sometimes find an alternate way to the finished form, as you'll see in this geometric pattern.