I recently posted photos of several large-scale origami pieces I folded. These pieces incorporate painted diagonal elements, but the folded patterns are not much more complicated than the ones from the series of tutorials I wrote a while back.
Here are the crease patterns for two of those pieces (and a few more comments below):
In both of these pieces the painted regions have sinusoidally curved edges that in the folded form create the illusion of flat planes. This is all based on geometry: a plane that cuts through a cylinder at an angle creates a sine wave when the cylinder is unrolled. My forms are more complicated than just cylinders and there are places where the paper overlaps. That means a sine wave doesn’t create a perfect plane, but it’s close enough for the eye to follow.
The crease pattern for the turquoise vase is exactly the type of pattern I described in my earlier tutorials. The purple vase is similar – the top section follows the same type of pattern, and the bottom part is a simple corrugated pattern I previously used in my diamond vases. The corrugation requires some extra glue at the base, but it’s a similar level of difficulty to fold as the curved-crease pleats.
