Diagrams
Available diagrams
A wide range of diagrams is available from this site (models and diagrams: © Péter Budai). Some of them are provided for free, while others are offered for purchase. See the links for further details.
Background
Documenting the folding sequence of origami models for the public can be done in a number of ways:
Diagrams
The most widespread, classic form, guides the reader step by step depicting the stages of the folding sequence. To understand them, one needs to learn how to read the symbols. This is far from being impossible, although some symbols have different variations in use. The real drawback of diagrams lies in their preparation. No matter if done manually or using computer, drawing origami diagrams is a rather tedious and time-consuming work (a couple of years ago I have written a lengthy article on diagramming for those who are more interested). Several models have probably remained unknown due to the "selective effect" of diagramming. Some for good, some surely for worse.
Videos
The most handy idea is to record the folding sequence as it is being done. As digital recorders have become more affordable in the past few years and video sharing sites appeared, recording and sharing videos has been made easy. Not surprisingly, an increasing number of origami models get documented in this manner.
Animations
By mixing the two previous approaches, the sometimes disturbing presence of hands can be eliminated, while at the same time the helpful notation of diagrams can be applied. Unfortunately, making animations is even more tedious work than making diagrams. Consequently, despite examples can be found, animations are not a popular way of documenting.
Crease patterns
Probably the least "user-friendly" format, still having its place. In the case of complicated models, several pages of diagrams can be saved by a picture that reveals their structure by showing how the creases lie on the paper when a half-done model gets unfolded. Since difficult models are mainly of the experienced folders' interest, using crease patterns usually does not pose serious obstacles. In fact, they can be regarded as an "entry test". Actually, in most cases there are no finishing diagrams, either, leaving the folders to use their skills to find out the final steps. See my twenty-branched tree model as an example.