On the geometry and topology of Da Vinci domes

Abstract

We study the famous Leonardo Da Vinci’s domes, as well as the variations pursued by Rinus Roelofs, from a mathematical viewpoint. In particular, we consider the problem of closing the dome in order to produce a spherical structure. We explain why this problem is related to subtle geometric and topological considerations. This is in contrast with the 1-dimensional analog structure, namely Da Vinci’s bridge, that can be easily closed up to make a circular shape.

Keywords

• leonardo da vinci
• bridge
• dome
• geometry
• topology