Definition
A fan vault is a masonry shell whose representative surface is a surface of revolution: a generating curve that is smooth and concave from below is rotated around a vertical axis located on its outer, i.e. convex side. The shell is ornamented with or constructed on congruent vertical ribs that are positioned radially at equal angles.
Statics of fan vaulting: current state of knowledge and open issues royalsocietypublishing.org