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We present a Surface Evolver framework for simulating single bubbles andmulticellular foams trapped between curved parallel surfaces. We are able toexplore a range of geometries using level set constraints to model the boundingsurfaces. Unlike previous work, in which the bounding surfaces are flat (the socalled Hele-Shaw geometry), we consider surfaces with non- vanishing Gaussiancurvature, specifically the sphere, the torus and the SchwarzPrimitive-surface. In the case of multi-cellular foams - our method is to firstdistribute a set of N points evenly over the surface (using an en- ergyminimisation approach), these seed points are then used to generate a Voronoipartition, that is clipped to the confining space, which in turn forms thebasis of a Surface Evolver simulation. In addition we describe our ex-perimental attempt to generate a honeycomb on a negatively curved surface, bytrapping bees between two Schwarz Primitive-surfaces. Our aim is to understandhow bees adapt the usual hexagonal motif of the honeycomb to cope with a curvedsurface. To our knowledge this is the first time that an attempt has been madeto realise a biological cellular structure of this type.

How bees and foams respond to curved confinement: level set boundary representations in the Surface Evolver