Divided Spheres

Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere, 2nd Edition, introduces the mathematics behind Buckminster Fuller's geodesic dome alongside the core principles of spherical design. It details three classic subdivision methods based on geometric polyhedra.

The volume covers spherical coordinate systems, point distribution techniques, and geodesic grid classes, including Class I, Class II, and Class III schemas. It connects these geometric models to practical applications such as cartography, climate modeling, and product design.

The 2021 edition adds full-color illustrations generated with DisplaySphere to help readers visualize and compare different tessellations. Polyhedral modeler Magnus Wenninger noted that the work serves architects, engineers, product designers, educators, and students interested in spherical geometry.