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The '''double bubble''', or '''double soap bubble''', [[geometry]] has long posed a fascinating mathematical challenge:  which shape for the surface of a double bubble encloses [[volume]] most efficiently?
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The '''double [[bubble]]''', or '''double soap bubble''', [[geometry]] has long posed a fascinating mathematical challenge:  which shape for the surface of a double bubble encloses [[volume]] most efficiently?
    
When a double soap bubble forms, it consists of two spheres that intersect, with a soap film separating the chambers on each side.  This separating wall connects with the surface of each sphere at a 120-degree angle.  If the two spheres have equal size, then the separating film has the shape of a flat disk.  If one sphere is larger, then the separating wall bulges into the larger space enclosed by the larger sphere.
 
When a double soap bubble forms, it consists of two spheres that intersect, with a soap film separating the chambers on each side.  This separating wall connects with the surface of each sphere at a 120-degree angle.  If the two spheres have equal size, then the separating film has the shape of a flat disk.  If one sphere is larger, then the separating wall bulges into the larger space enclosed by the larger sphere.
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