Which 1509 book by Luca Pacioli explained Renaissance mathematics and polyhedral geometry?

Divina proportione was the 1509 book by Luca Pacioli that explained Renaissance mathematics and polyhedral geometry. Its subject included the mathematical proportion later called the golden ratio.

Pacioli published the work in Venice. Leonardo da Vinci supplied the book’s celebrated illustrations of regular and semi-regular polyhedra, making the volume an important collaboration between a mathematician and an artist.

The book was divided into discussions of proportion, geometry, and architecture. Pacioli connected mathematical relationships with beauty and design, reflecting the Renaissance belief that number could help explain both nature and art.

The title is often translated as Divine Proportion. It should not be confused with Pacioli’s earlier Summa de arithmetica, geometria, proportioni et proportionalità, a broad mathematical compendium first printed in 1494.