i'm not positive of this but it appears they bloom less when they have more root room, and this depends on width of pot as well as depth
As insinuated by Mr. Za, for the non-blue variety, container size is mostly irrelevant for flowering. Some species seem to need to be potbound before they flower - not the case with the white sandersonii.Okay, so growing them in 1 inch wide square plastic containes should get them to bloom quickly then.