The Smyth surfaces (discovered by Brian Smyth in 1993), are constant mean curvature surfaces. Usually represented in their "two legs" variant, these surfaces are also known as Mr and Mrs Bubble. This 5 legs version has been generated using the "Xlab" software series by N. Schmitt (see this beautiful catalog). It natively contains water-tight pockets for each aperture. The interior of the vase has been opened to make these pockets visible.
A smaller version is available here