It was written by the origami artist and mathematician John Montroll, and it was published in 2009 by A K Peters.

There are two traditional methods for making polyhedra out of paper: polyhedral nets and modular origami.

Instead, it provides designs for folding polyhedra, each out of a single uncut sheet of origami paper.

[1] Reviewer Rachel Thomas recommends it to origami folders, to demonstrate to them the beauty of geometric forms, and to mathematicians, to show these forms in a new light and demonstrate the creativity of origami design.

[2] The book can also be used as a source for mathematical school projects, and to provide hands-on experience with geometry concepts such as length, angles, surface area, and volume; some of its designs are suitable for students as young as middle school, although others require more experience as an origami folder.