San Carlo alle Quattro Fontane sits on a cramped street corner, on a plot so small that its awkward shape decided the whole design. A poor Spanish order bought the site in the 1630s and gave the job to Francesco Borromini, who was then unknown. He built them a church whose walls curve in and out without a break, so that no two facing surfaces are parallel and no wall is flat. The plan is worked out from overlapping circles and triangles, and the whole interior is white, without a single coloured marble to distract from the shape.
The oval dome is the best part of the interior. It is coffered with interlocking crosses, hexagons and octagons that shrink as they climb, so the vault looks far higher than it really is, and the light comes from windows hidden at its base. Borromini finished the interior in 1641 and was still working on the street front when he died in 1667; his nephew completed it. For two hundred years guides have repeated that the whole church would fit inside one pier of St Peter's dome; the claim comes from an eighteenth-century guidebook, and it is not true.