  We study the famous Leonardo Da Vinci's domes, as well as the variations
invented 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.
