There are many books dealing with origami, i.e. the art of folding realistic objects (animals) and geometric structures (polygons and polyhedrons) from a single sheet of paper without cutting or pasting. Origami seems to belong to recreational mathematics although it does not need any mathematics. The book under review differs from others on this topic. There are interesting calculations and results like the golden ratio and values of some goniometric functions. The book will appeal to the geometric intuition of the reader, containing a lot of figures and coloured photos of folded structures. It can be strongly recommended to everybody interested in recreational mathematics and elementary geometry.