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Luca Pacioli wrote between 1496 and 1498 but which remained unpublished until it was issued in Venice by Pagani Paganini in 1509, was Pacioli's upside down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.
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.