When I started paying attention for variations of the crane model, I suddenly found a lot of them :). Orison, the magazine of the Origami Sociëteit Nederland (Origami Society Netherlands), published 4 variations of cranes. They were all designed by Mary Lou Richard and all can be fold with a dollar bill. For the crane heart I used a paper with the ratio 1:2, because you don’t actually need a dollar bill sized paper for it.
The second crane variation is a chopstick holder. There are several of them in the book. I have to admit: this model is made with two cuts, but no glue is used.
Author: Kobayashi, Kazuo
Title: Many Useful Origami Objects