I have a weirdness threshold and that movie just obliterates it lol

I have some unryu sitting around but have never found an excuse to use it

The Plant Psychologist has a video series on origami design, with much of the course covering boxpleating (bp) design

The only real restrictions on origami are no cutting, and models requiring multiple sheets are expected to have locking mechanisms which make it possible to keep them together without glue (though glue is not forbidden and is encouraged to be used in shaping). Paper doesn't even need to be square, it's just desirable. Curves and twists are completely acceptable, and curved origami is its own niche little area rarely explored due to the difficulty of making a clean curved fold. Jun Mitani is a master of this style.

Check out Robert Lang's TED talk. He gives a brief overview of one of the underlying ideas behind making lots of flaps, called circle packing. This model looks boxpleated (based on a square grid) in which case circle packing isn't the design technique used, but the fundamental idea is the same

Alios kraft isn't an overly popular choice for complex origami. Many origamists treat their own paper with methyl cellulose glue, with the most popular option being double tissue, followed by wenzhou