Origami is the Japanese art of paper folding — sculpting complex, precise forms from a single flat sheet using only creases, with no cuts and no glue. The crane, or orizuru, is its most iconic design: roughly 20 exact folds carry the paper from a square base through a bird base into wings, neck, and tail. Legend holds that anyone who folds 1000 cranes (senbazuru) is granted a wish, a story popularized worldwide by Sadako Sasaki after Hiroshima. Modern mathematics formalizes what makes a crease pattern foldable flat: Maekawa's theorem says mountain and valley folds at any vertex differ by exactly 2, while Kawasaki's theorem requires alternating crease angles around a vertex to sum to 180°. These same rigid-origami principles now drive real engineering — foldable spacecraft solar-panel arrays and compact automotive airbags.