Luca Pacioli's 'Divina proportione"

1509
The first printed illustration of a rhombicuboctahedron, by Leonardo da Vinci, published in Divina proportione
The first printed illustration, by Leonardo da Vinci, of a rhombicuboctahedron, a complex Archimedean solid with eight triangular and eighteen square faces. It incorporates  24 identical vertices, with one triangle and three squares meeting at each one.
Detail map of Venezia, Veneto, Italy Overview map of Venezia, Veneto, Italy

A: Venezia, Veneto, Italy

Among the many remarkable features in Divina proportione, a work on mathematical and artistic proportion that Fra Luca Pacioli wrote between 1496 and 1498 but which remained unpublished until it was issued in Venice by Pagani Paganini in 1509, was Pacioli's upside down Tree of Proportions and Proportionality.

The title page of the work was one of the most original and striking title pages of the early 16th century.

The illustrations of the regular solids in Divina proportione were drawn by Leonardo da Vinci  while he lived with and took mathematics lessons from Pacioli. Leonardo's drawings were probably the first illustrations of skeletal solids, which allowed an easy distinction between front and back of the structures.

Timeline Themes

The first printed illustration of a rhombicuboctahedron, by Leonardo da Vinci, published in Divina proportione
The first printed illustration, by Leonardo da Vinci, of a rhombicuboctahedron, a complex Archimedean solid with eight triangular and eighteen square faces. It incorporates  24 identical vertices, with one triangle and three squares meeting at each one.