[3] This theory is applied to the grid bracing problem in structural rigidity,[3][4] where the authors derive a novel equivalence between stabilizing a square grid by cross bracing and the strong connectivity augmentation of directed bipartite graphs.

[5] Other applications include optimal route design for facilities such as roads and power lines, the connectivity of floor plans of buildings, and the arrangement of building corridors to optimize average distance.

[3][4][6] This part of the book concludes with a treatment of the classification of two-dimensional topological surfaces.

[3][4] The book is aimed at architecture and design students not already familiar with mathematics,[3] and is self-contained[4] although not always easy going.

[3] It includes many exercises and experiments,[4] some of which involve paper folding or the uses of mirrors rather than being purely mathematical,[6] and are often aimed at practical applications.