It is a representation of the Japanese red-crowned crane that is referred to as the “Honourable Lord Crane” in Japanese culture. The Japanese culture believed that its wings carried souls up to paradise. It is often used as a 3d origami diagrams pdf wrapper or restaurant table decoration.
Sadako and the Thousand Paper Cranes” is a classic Japanese work that talks about the significance of a thousand paper cranes. It is said that a thousand cranes need to be made in order for a wish to come true. The trick is to fold all the cranes without breaking the small paper bridges that attach them to one another or, in some cases, to effectively conceal extra paper. Typical renzuru configurations include a circle of four or more cranes attached at the wing tips.
This is known as imoseyama. If made from paper colored differently on each side, the cranes will be different colors. Updated diagrams from this early work can be found in a current book by Japanese origami author Kunihiko Kasahara. The East 1970 Page 293 “Follow the instructions on the next page.