The author shows how a modular origami box with a square base can be made from four rectangular sheets plus a template. He also discusses some mathematics in the context of the constructed box.
Diagrams for an icosahedral design made with 30 quick-to-fold units from squares. The look is rather festive, and hence the name. You can fold the with thematic colors of the season to fit right in.
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.
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by Thomas Cooper
There is a family of geometric solids, one of which is illustrated in a famous engraving by Albrecht Dürer, that poses some interesting origami challenges.
An Icosidodecahedron with sunken triangular faces based on a simple unit. Made from 12 pentagons, it is definitely meant for people who like challenges!