During her mathematical studies, Elina Gor researched the changes in complexity of origami models from the 1980`s to the present, to see if we are doomed to face mega-complex models in the future or maybe we already have reached the peak of complexity.
The addition of curvature introduces some situations which conventional crease patterns are not good at dealing with. I present some ideas for incorporating surface curvature into crease patterns, and discuss why I chose these schematics.
Making a crease pattern takes less time than drawing a full diagram, but because of the technical difficulty, most folders don't like working with them. Here's some ideas about how to make things easier without spending dozens of hours on a full diagram.
This article compares the advantages and disadvantages of PDF diagrams and video instructions. It includes PDF and video diagrams for the models "Lovers Ring" by Francis Ow, and "Will you be my Valentine?" by Stacy Mannes.