But in fact, there’s another reason why some compositions are published as CPs; it’s not just that the composer doesn’t want to spend the time drawing up a step-by-step folding sequence. It may be that the composer doesn’t even know of a step-by-step sequence. In fact, one may not even exist! Many modern origami designs, particularly if they were designed using tree theory, circle packing, box pleating, or any of the other tools of modern design, are designed in an “all-or-nothing” way. The creases all work together when they are fully folded, but it is often the case that there are no intermediate states — no subsets of the creases — that can be folded together, which would form the individual steps. For such a model, the only way to assemble the model is to precrease all of the creases, then gently coerce them all to come together at once with a minimum of bodging. That method of assembly, as it turns out, is almost always the approach used for folding a model from a CP.
This mammoth might actually tempt me into getting into crease patterns.
Here's a Cthulhu. Open the crease pattern at your own risk--I expect that the geometry is unnatural.
In addition to the insects and fiddler crabs typical of modern origami (at least the harder parts), here are leaves, a turborotor, and two batmen.